Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,1]=>[1,2]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,3,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,1,2]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[1,4,3,2]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[2,1,3,4]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,4,3]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[2,3,1,4]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[2,4,1,3]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,1,2,4]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,1,4,2]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[3,2,1,4]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[3,2,4,1]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,4,1,2]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,4,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,1,2,3]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,1,3,2]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,1,3]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,3,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,1,2]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[1,2,5,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[1,3,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[1,4,3,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[1,4,3,5,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[1,4,5,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[1,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[1,5,3,2,4]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[1,5,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[1,5,4,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[1,5,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[2,1,3,4,5]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,1,3,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[2,1,4,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[2,1,4,5,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[2,1,5,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[2,1,5,4,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[2,3,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[2,3,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[2,3,4,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,3,5,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[2,4,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[2,4,1,5,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[2,4,3,1,5]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[2,4,3,5,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[2,4,5,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[2,4,5,3,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[2,5,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[2,5,1,4,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[2,5,3,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[2,5,4,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[3,1,2,4,5]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,1,2,5,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[3,1,4,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,1,4,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[3,1,5,2,4]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[3,1,5,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[3,2,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[3,2,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[3,2,4,1,5]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[3,2,4,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,2,5,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[3,4,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[3,4,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[3,4,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[3,4,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[3,4,5,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,4,5,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[3,5,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[3,5,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[3,5,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[3,5,4,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[3,5,4,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,1,2,3,5]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,1,2,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[4,1,3,2,5]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,1,3,5,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[4,1,5,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,1,5,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,2,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[4,2,1,5,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,2,3,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,2,3,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,2,5,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,2,5,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[4,3,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[4,3,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,3,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,3,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[4,3,5,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,3,5,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,5,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[4,5,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[4,5,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,1,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,1,2,4,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,1,3,2,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,3,4,2]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,1,4,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,1,4,3,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,1,4,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,4,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,4,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,2,4,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,3,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,3,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,4,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,4,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
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[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
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[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
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[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
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[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
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[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]
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[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
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[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]
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[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
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[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]
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[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]
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[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]
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[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
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[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]
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[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]
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[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
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[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
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[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
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[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
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[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
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[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]
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[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]
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[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
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[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
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[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
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[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
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[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
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[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
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[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
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[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
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[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
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[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
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[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
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[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
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[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]
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[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
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[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
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[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
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[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
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[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
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[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
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[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
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[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
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[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
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[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
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[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
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[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
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[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
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[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
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[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
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[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
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[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
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[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
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[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
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[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
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[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
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[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
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[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
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[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
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[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
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[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
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[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
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[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
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[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
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[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
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[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
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[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
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[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
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[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
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[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
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[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
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[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
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[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
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[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
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[2,3,6,7,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
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[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
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[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
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[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
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[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
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[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
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[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
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[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
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[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
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[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
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[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
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[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
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[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
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[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
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[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
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[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
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[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,3,4,5,7,8,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,2,4,5,6,1]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,7,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,4,3,7,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[5,4,6,3,7,2,8,1]=>[1,2,8,3,7,4,6,5]=>[1,2,8,7,6,4,3,5]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]]
[6,5,3,4,7,2,8,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,4,3,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[3,4,5,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,4,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,3,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,4,3,5,6,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,5,7,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,6,7,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,6,3,7,8,1,2]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[5,6,3,4,7,8,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[6,4,3,5,7,8,1,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,3,4,5,7,8,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,5,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,7,8,2,1,3,4]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,7,8,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,7,8,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,8,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,3,4,2,5,1,6]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,5,4,2,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,4,5,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,5,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,3,4,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[7,8,4,2,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,8,3,2,1,4,5,6]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,8,2,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,7,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,5,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,4,7,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,3,5,2,1,8]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,4,3,6,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,7,3,2,4,1,8]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,4,5,2,3,6,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[3,2,4,5,6,7,1,8]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,5,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,6,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,6,5,4,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[6,5,7,4,2,1,3,8]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[7,5,4,6,2,1,3,8]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,4,6,7,1,2,3,8]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,6,4,3,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,3,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[7,5,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[7,4,3,2,1,5,6,8]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,3,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,4,3,2,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,4,5,6,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,4,3,6,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[5,6,4,2,1,3,7,8]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[5,4,6,2,1,3,7,8]=>[1,3,7,8,2,4,6,5]=>[1,8,3,2,6,4,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[4,5,6,1,2,3,7,8]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,4,3,1,2,5,7,8]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[6,4,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,5,2,3,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,2,3,4,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,3,1,2,4,6,7,8]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[5,1,2,3,4,6,7,8]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,4,1,2,5,6,7,8]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,1,2,4,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[4,7,6,5,8,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[3,5,8,7,6,4,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,3,6,5,8,7,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[5,7,6,4,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[2,7,8,6,5,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,6,8,7,5,4,3,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,4,6,8,7,5,3,1]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[2,7,6,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[2,3,5,6,8,7,4,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,5,4,3,7,8,6,1]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[2,4,5,3,7,8,6,1]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[3,4,2,5,7,8,6,1]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[4,3,6,5,2,8,7,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[3,2,6,5,4,8,7,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,4,3,2,6,8,7,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[2,5,4,3,6,8,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[4,3,6,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,5,4,7,6,3,8,1]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[2,5,4,6,7,3,8,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,2,6,5,7,4,8,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,4,2,6,7,5,8,1]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,4,3,2,7,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,3,5,2,7,6,8,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[2,5,4,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,2,5,4,7,6,8,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,7,8,6,5,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,6,8,7,5,4,3,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,5,8,7,6,4,3,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,7,6,5,8,4,3,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,4,8,7,6,5,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[1,3,6,5,7,8,4,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,4,3,8,7,6,5,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,3,7,8,6,5,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,4,3,7,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,3,4,7,6,8,5,2]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[1,6,5,4,3,8,7,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
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[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
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[1,2,5,6,4,7,8,3]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,2,5,4,6,7,8,3]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
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[3,2,1,7,6,8,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
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[3,2,1,6,5,8,7,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,2,1,5,6,8,7,4]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
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[3,2,1,6,7,5,8,4]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[3,2,1,5,7,6,8,4]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,1,5,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
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[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[2,1,3,8,7,6,5,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,2,3,6,8,7,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,3,5,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
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[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
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[4,3,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,4,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,4,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,4,3,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,4,3,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,4,3,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,4,3,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,4,3,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,2,4,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
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[3,2,4,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,4,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
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[2,3,4,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,4,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
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[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
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[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
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[2,3,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
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[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,5,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,3,5,4,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,4,3,5,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,4,1,5,8,7,6]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,4,1,5,7,8,6]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,3,4,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,6,5,4,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,3,6,5,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,4,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,5,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,3,5,6,2,1,8,7]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[2,3,6,5,4,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,4,3,6,5,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,3,5,2,6,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,2,5,4,6,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,3,2,5,6,1,8,7]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,5,6,4,3,2,8,7]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,1,6,5,4,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[2,1,4,6,5,3,8,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,5,4,6,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,4,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,4,3,1,6,5,8,7]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,2,4,1,6,5,8,7]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,3,4,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,4,3,2,1,6,8,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,5,4,3,6,8,7]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,2,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,4,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,1,3,4,5,6,8,7]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,7,6,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,4,7,6,5,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,2,7,6,5,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,5,4,2,7,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,2,5,4,7,6,1,8]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,3,4,5,7,6,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,5,4,2,6,7,1,8]=>[1,8,2,6,7,3,5,4]=>[1,8,7,5,3,2,6,4]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,6,7,5,4,3,8]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,3,2,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[3,2,4,1,7,6,5,8]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,3,4,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,4,3,2,7,6,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,2,1,4,7,6,5,8]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,3,2,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,4,1,5,7,6,8]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,3,4,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[2,3,4,6,5,1,7,8]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,2,4,6,5,3,7,8]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,4,1,6,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,5,4,1,6,7,8]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,4,8,6,5,7,3]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,2,6,4,5,7,8,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,8,5,4,6,7,3]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[1,3,2,8,6,5,7,4]=>[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[1,3,7,4,5,6,2,8]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,3,8,6,5,7,4,2]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[1,5,3,4,6,7,8,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,3,5,4,8,7,2]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,8,4,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]
[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,5,4,3,6,7,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,8,5,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,7,4,6,5,3,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,7,5,4,6,3,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,8,7,5,6,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,3,8,5,7,6,4]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[2,1,4,3,8,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,6,4,5,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,7,4,6,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,5,3,4,8,6,7,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,8,3,4,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,8,3,5,4,7,6,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[2,8,3,5,7,6,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,8,4,3,5,7,6,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,1,7,5,6,4,8]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,7,5,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,4,1,8,6,7,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,7,4,6,5,8,1]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,2,7,5,4,6,1,8]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,2,3,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,2,3,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,2,3,7,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,2,3,4,6,5,1,8]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,2,4,3,1,6,7,8]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,2,4,3,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,2,4,3,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,2,4,3,6,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,2,4,3,7,6,8,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,2,4,3,6,5,8,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,7,5,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,3,2,4,1,6,8,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,3,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,4,3,6,5,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,3,5,4,2,1,8]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[2,1,4,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,4,1,6,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,4,1,6,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,6,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,4,1,6,8,3,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,4,6,1,8,3,5,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,6,8,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,4,1,6,3,7,8,5]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,4,1,6,7,8,3,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,4,6,7,1,8,3,5]=>[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[2,1,4,3,7,5,8,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,1,3,7,5,8,6]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,4,7,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[2,1,4,3,7,8,5,6]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,4,1,3,7,8,5,6]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[2,4,7,8,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,4,1,5,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,4,5,7,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[2,1,4,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,4,1,5,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,4,1,5,3,6,8,7]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[2,4,1,5,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,4,1,5,6,7,8,3]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,4,5,6,7,1,8,3]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,3,6,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,5,6,8,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,5,1,6,7,3,4,8]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,5,1,6,7,3,8,4]=>[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,5,1,6,7,8,3,4]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,5,6,1,7,8,3,4]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,5,1,7,3,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,5,7,3,8,4,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,5,7,1,8,3,4,6]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,5,7,8,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,5,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,3,5,1,6,7,8,4]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,6,3,7,4,8,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,7,1,3,4,8,5]=>[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[2,1,6,3,7,8,4,5]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,6,7,8,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,1,6,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,6,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,3,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,1,6,8,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,6,1,8,4,5,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,1,6,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,6,1,3,4,5,7,8]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[2,3,4,6,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,3,4,6,7,8,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,7,8,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,3,1,7,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,7,8,1,4,5,6]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,3,4,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,4,7,1,8,5,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,7,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,3,4,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[2,3,4,5,7,8,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,8,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,3,8,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,3,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,3,4,5,6,8,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,4,2,6,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,4,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,1,4,2,6,8,5,7]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,4,1,2,6,8,5,7]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[3,1,4,6,8,2,5,7]=>[1,4,6,8,2,5,7,3]=>[1,8,7,4,2,6,5,3]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[3,4,6,8,1,2,5,7]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,4,6,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,4,6,7,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,4,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[3,4,6,7,1,2,8,5]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,4,6,1,7,8,2,5]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,1,4,2,7,5,8,6]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[3,4,7,1,8,2,5,6]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[3,4,7,8,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,1,5,8,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,4,5,8,1,2,6,7]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[3,1,4,2,5,6,7,8]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,4,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,5,1,2,6,8,4,7]=>[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,1,5,6,2,8,4,7]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,5,6,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[3,5,6,8,1,2,4,7]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,5,6,1,7,8,2,4]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,5,2,7,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,7,2,4,8,6]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,5,7,8,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[3,6,1,7,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[3,6,7,8,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,1,6,2,7,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,8,5]=>[1,6,3,2,8,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,1,2,6,7,4,8,5]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,1,6,2,4,5,7,8]=>[1,6,2,4,5,7,8,3]=>[1,6,8,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,4,6,7,8,5]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,7,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[3,1,8,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,5,1,2,6,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,5,6,1,2,8,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,1,5,6,8,2,3,7]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[4,5,6,8,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,6,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,1,5,6,7,8,2,3]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,1,7,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,5,7,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[4,5,7,8,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[4,5,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,2,5,7,3,6,8]=>[1,2,5,7,3,6,8,4]=>[1,2,7,8,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,2,5,6,3,8,7]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,1,2,5,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,6,7,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,1,2,3,7,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,6,2,3,7,8,5]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[4,1,2,6,7,3,8,5]=>[1,2,6,7,3,8,4,5]=>[1,2,7,8,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,1,2,3,6,5,8,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,1,2,3,6,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,6,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,1,2,3,6,7,8,5]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,7,8,3,5,6]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[4,7,1,2,3,5,6,8]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,2,3,5,7,8,6]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,8,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,8,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,1,2,3,7,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,6,1,2,8,3,4,7]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[5,6,8,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,1,6,2,3,8,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,2,5,3,6,7,4,8]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[5,7,1,2,8,3,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,7,8,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,2,7,3,4,8,6]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,7,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,2,8,3,4,6,7]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,5,8,2,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,1,2,3,8,4,6,7]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,1,2,3,4,6,8,7]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,7,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,1,7,2,3,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,2,7,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,1,2,3,4,7,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,8,5]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,6,2,8,3,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,8,2,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,3,2,5,4,8,1,6]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,4,5,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,6,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,6,5,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,7,5,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,8,5,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,6,7,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,1,6,7,4,5,2]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,1,6,8,4,2,5]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[4,7,6,1,8,3,2,5]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[6,4,7,2,8,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[5,3,2,7,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[8,4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,4,8,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[8,5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,7,8,6,1,4,2,3]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,4,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[.,[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]]
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,4,3,2,1,10,9,8,7]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,2,5,1,3,6,7,8]=>[1,3,6,7,8,2,5,4]=>[1,8,3,5,2,6,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[3,2,6,1,4,5,7,8]=>[1,4,5,7,8,2,6,3]=>[1,8,6,4,5,2,7,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[7,3,5,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[6,2,8,1,3,4,5,7]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,2,6,7,1,3,4,8]=>[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[5,3,6,7,1,2,4,8]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[6,2,5,7,1,3,4,8]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,3,5,7,1,2,4,8]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[4,2,6,8,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,7,3,8,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,8,1,2,5,7]=>[1,2,5,7,3,6,8,4]=>[1,2,7,8,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[3,2,7,8,1,4,5,6]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,2,4,1,3,7,8]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[4,8,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,8,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[6,8,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,8,2,7,1,4,5,6]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,8,3,7,1,2,5,6]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,3,7,1,2,4,6]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,8,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,3,2,6,1,4,7,8]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[5,4,2,6,1,3,7,8]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[4,3,2,7,1,5,6,8]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,3,2,7,1,4,6,8]=>[1,4,6,8,2,7,3,5]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[6,5,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[7,4,2,5,1,3,6,8]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[4,3,2,8,1,5,6,7]=>[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,4,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,5,2,8,1,3,4,7]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,5,3,8,1,2,4,7]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,5,4,8,1,2,3,7]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,4,2,8,1,3,5,6]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[7,4,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[8,4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[8,6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,7,2,4,8,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,7,3,6,8,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,7,3,4,8,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[6,8,2,5,7,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,3,2,5,8,1,4,7]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,2,7,8,1,5,6]=>[1,5,6,2,7,8,3,4]=>[1,6,8,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,4,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,7,2,6,1,5,8]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[6,3,7,2,5,1,4,8]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[1,7,3,5,2,8,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,8,2,7,1,5,6]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,5,8,2,7,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[6,5,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[6,5,3,2,8,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,5,3,2,8,1,4,6]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[8,5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[8,7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,5,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,1,2,3,8,7,4,6]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[3,1,7,2,6,4,8,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,1,4,2,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,1,4,2,6,7,8,3]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,1,4,8,2,3,5,6]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[7,1,8,5,2,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,1,4,8,7,2,5,6]=>[1,4,8,2,5,6,3,7]=>[1,8,6,4,2,5,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,7,5,6,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,5,6,2,8,3]=>[1,4,5,6,2,8,3,7]=>[1,6,8,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,1,4,5,8,7,2,6]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,4,8,6,7,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[3,1,8,5,6,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,1,3,4,7,5,6]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,4,1,8,6,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[7,4,1,2,6,3,8,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,8,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[8,7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,4,1,2,8,7,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[8,4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4,8]=>[1,2,7,5,3,6,4,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,8,1,2,6,7,3,4]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[5,4,1,2,6,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,3,1,6,2,7,8,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,3,1,5,2,7,8,4]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[7,4,1,6,2,3,8,5]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,4,1,5,2,7,8,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,3,1,8,7,2,5,6]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,3,1,7,6,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,3,1,5,6,2,8,4]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,1,5,6,2,8,3]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,3,1,5,6,8,2,7]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,6,4,1,3,7,8,5]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,8,5,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[2,6,5,1,3,7,8,4]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,7,4,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,7,8,1,6,3,4,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,5,1,6,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,5,4,1,8,7,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[2,5,4,1,6,7,8,3]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[6,3,7,1,2,4,8,5]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[8,3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,3,8,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[8,5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[6,8,4,1,2,7,3,5]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,8,5,1,2,7,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,4,1,2,7,8,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[8,3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[7,8,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,5,4,1,6,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,4,8,1,7,5,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,4,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,7,4,8,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,8,6,5,1,3,4,7]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,7,8,5,1,3,4,6]=>[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,8,6,1,3,4,5]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[2,6,4,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[2,8,4,5,1,7,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,8,6,5,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,3,4,6,1,2,8,5]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[7,3,8,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[7,3,6,5,1,2,8,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[7,6,4,5,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,3,4,5,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,4,5,1,7,8,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,4,8,6,1,5,7]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,7,6,1,8,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,3,8,5,7,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,3,8,7,6,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[2,3,7,5,6,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,8,4,5,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,4,7,6,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[2,8,7,5,6,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[2,7,4,5,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,3,4,5,6,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,5,8,7,1,6]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,3,8,5,6,7,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,2,3,4,5,6,9,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[7,1,2,3,4,5,8,9,6]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,6,8,7]=>[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]
[8,1,2,3,9,4,5,6,7]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,9,1,8]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,5,2,7,4,8,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,5,2,7,4,8,6,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,5,7,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,6,7,8,4,3,5]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,6,1,7,8,4,2,5]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,6,2,7,8,4,5,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,6,2,7,8,5,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,6,2,7,8,5,4,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[4,6,7,2,8,5,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,1,6,7,8,3,5,4]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,6,1,7,8,2,5,4]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[4,5,6,3,2,1,9,10,8,7]=>[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[1,6,7,4,5,2,3,8]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[1,5,4,7,6,2,3,8]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,5,4,7,6,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,5,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,8,3,7,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,3,4,8,6,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[4,3,5,6,8,7,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,5,6,1,8,7,4]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,1,8,4,5,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,1,3,2,8,6,5,7]=>[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[5,1,3,8,2,6,4,7]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[6,1,8,3,2,5,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,3,8,1,6,7,4]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,5,2,7,8,1,6,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,5,3,7,1,6,8,4]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,7,3,2,5,4,8]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,6,7,3,1,5,8,4]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,6,7,2,1,8,5,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,8,3,1,2,6,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,2,1,3,8,5,7,6]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,2,8,1,3,4,7,5]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,2,1,3,4,6,5]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,3,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[7,4,5,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,6,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,5,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[5,7,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[2,1,8,5,3,7,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[5,8,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,1,6,8,2,4,5]=>[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[4,7,6,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,4,7,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[7,3,1,6,8,2,4,5]=>[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,4,8,1,6,2,3,5]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[4,5,8,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,1,5,8,3,7,4,6]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,7,8,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,8,1,7,6,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,8,7,1,6,2,3,5]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,4,8,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[5,3,2,6,1,7,4,8]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,8,2,5,1,7,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,4,2,5,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,3,2,8,1,6,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,7,8,1,6,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,7,2,1,5,8,4]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[6,3,7,2,1,8,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[6,3,7,2,1,8,4,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,3,2,7,1,4,8,6]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[5,4,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,3,2,8,1,4,7,6]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,2,1,3,6,5,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,1,8,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[5,2,1,8,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[3,6,8,4,7,5,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[2,5,4,8,7,1,6,3]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,4,8,1,7,2,5,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,1,6,3,5,4,8,7]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[3,1,6,2,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,2,7,1,4,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,2,7,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,1,7,2,5,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,1,8,3,5,4,7,6]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,1,8,3,6,4,7,5]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,4,2,7,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,1,3,2,7,5,8,6]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,4,3,8,5,7,6]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,1,3,2,8,5,7,6]=>[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,1,6,3,8,4,7,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,1,6,2,8,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,1,8,4,7,3,6,5]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[3,1,7,4,8,2,6,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,3,6,2,8,1,4,7]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,7,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,6,2,8,1,3,4,7]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,6,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[4,1,5,6,3,8,2,7]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,4,5,3,8,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,3,7,8,1,4,2,6]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,3,5,8,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,4,1,5,8,3,6,2]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,6,7,3,8,4,2]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,4,7,1,8,3,5,2]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[6,7,8,3,1,4,5,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,1,7,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,8,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[3,6,7,2,8,4,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,6,7,2,1,8,4,5]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,3,7,8,1,6,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[6,4,1,7,8,2,5,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[5,1,6,2,7,8,4,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,7,1,8,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[8,1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,3,7,2,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[4,3,6,7,2,8,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,3,4,7,1,2,8,6]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[7,5,8,2,1,4,6,3]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,5,3,8,4,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,6,4,7,8,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,6,7,1,4,8,3,5]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,2,6,7,8,3,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,7,4,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[4,7,2,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,2,7,8,1,5,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[7,5,8,2,1,6,3,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,3,1,7,8,2,5,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,6,1,7,8,5,2,3]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[5,1,2,6,7,8,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[5,2,6,7,8,4,1,3]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[5,2,6,7,8,4,3,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[4,5,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[8,4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,7,6,2,4,3,1,8]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,8,6,2,4,1,3,7]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,8,6,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,1,5,4,2,8,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,8,7,1,5,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,8,1,3,2,4,5]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,7,2,8,1,3,5,6]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,6,8,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,4,3,7,8,5,6,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,2,5,4,8,1,6,7]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[8,5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,6,2,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,7,2,1,8,3,6,5]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[5,7,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,7,8,6,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[8,7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,8,1,2,7,6,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,1,8,6,5,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,1,5,2,4,8,7,6]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,1,5,2,4,8,7,3]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[7,4,1,2,8,3,6,5]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[7,5,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,8,5,3,7,4,6,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[8,4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[8,4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[7,4,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,8,2,4,5,3]=>[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[3,1,7,6,2,4,5,8]=>[1,7,2,4,5,8,3,6]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,7,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[4,8,1,6,2,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,8,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[5,8,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,8,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[3,2,5,1,6,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,2,5,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[3,1,5,4,6,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,5,1,6,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,3,6,2,7,5,8,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,5,4,7,2,8,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[2,1,5,4,7,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,1,5,3,7,6,8,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,3,6,4,7,1,8,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[5,1,6,3,7,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,6,4,7,5,8,2]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,6,4,7,3,8,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,1,6,4,7,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,1,6,3,7,2,8,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,3,6,1,7,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[5,3,6,2,7,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,2,5,1,7,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,2,6,3,7,5,8,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,2,6,4,7,5,8,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,2,6,1,7,4,8,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,5,1,7,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,2,5,1,7,6,8,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,2,6,1,7,4,8,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,4,6,2,7,3,8,1]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[5,4,6,2,7,1,8,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,1,6,4,7,2,8,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,5,7,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,1,6,5,7,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,1,6,5,7,3,8,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,1,6,5,7,4,8,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,1,6,4,7,3,8,2]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,4,6,3,7,1,8,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[8,3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,5,2,4,1,8,6]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,3,2,8,1,5]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,4,5,3,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,7,5,1,4,2,8,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,7,4,2,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,6,3,8,7,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[3,1,5,8,6,7,4,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,8,1,6,7,3,5,2]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,7,6,8,1,4,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,1,6,4,8,2,5]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,7,3,5,6,8,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,3,6,7,5,8,2,4]=>[1,3,6,7,2,4,5,8]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,7,6,8,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,6,8,7,3,5,1]=>[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,8,2,4,6,7,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,2,6,1,4,7,8,5]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[5,3,7,2,1,8,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[4,7,3,2,1,5,8,6]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4,8]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,7,8,6,2,1,5,4]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[8,7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,7,8,5,6,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[8,2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,7,4,8,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,7,8,1,6,5,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[8,5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,8,1,4,5,7,3,2]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[5,6,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[5,4,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,3,1,4,5,2,8,7]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,1,8,7,5,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,5,8,4,7,6,1,3]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[4,1,8,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]
[3,8,4,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[3,1,8,2,5,6,7,4]=>[1,8,2,5,6,7,3,4]=>[1,8,7,3,2,5,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,8,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,8,1,3,5,6,7,4]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,7,8,4,5,3,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,3,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[4,1,3,2,6,8,7,5]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[8,6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,5,8,4,7,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[5,8,2,4,7,6,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,6,4,5,8,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,1,6,4,5,8,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,8,5,3,6,7,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,8,4,1,5,6,7,3]=>[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,2,4,8,6,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,1,4,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,1,7,4,8,6,3,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,5,7,4,8,6,3,1]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,6,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[3,8,7,4,5,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,7,1,4,8,6,2,3]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,6,3,8,1,2,7,5]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[3,6,2,5,4,8,1,7]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,2,4,7,1,8,6]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,3,5,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[4,6,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,1,6,4,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,3,8,2,7,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,3,6,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[4,3,7,6,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[3,5,8,7,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[1,5,4,8,7,3,6,2]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,7,1,8,6,5,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,8,3,7,6,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,6,5,3,7,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,5,8,6,3,7,4,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[4,6,1,8,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,6,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,7,6,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,7,1,6,3,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,3,2,8,7,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,2,6,3,8,7,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,4,8,6,3,7,5,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[3,8,6,2,4,7,5,1]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,6,7,2,1,4,8,5]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[3,8,2,5,7,1,6,4]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,3,6,2,1,5,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,8,2,7,6,4,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,7,1,8,6,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,8,3,1,6,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,6,5,2,3,8,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,8,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,8,7,1,4,5,6]=>[1,4,5,6,2,8,3,7]=>[1,6,8,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,8,7,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[8,4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[8,5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[7,5,1,2,8,3,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[4,6,2,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,7,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,4,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[5,3,1,4,6,2,8,7]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,1,4,6,5,2,8,7]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,7,4,6,2,8,3,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[2,1,8,5,7,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,8,6,5,7,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,5,4,8,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,1,4,6,8,2,7,3]=>[1,4,6,8,2,7,3,5]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,4,6,3,7,5,8,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,1,6,3,8,5,7,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,7,4,2,8,6,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,4,1,3,5,8,6,2]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,8,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[6,3,7,4,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[8,3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,7,2,3,8,5,6,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,1,3,6,5,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,8,5,4,3,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,8,6,7,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[5,3,8,7,4,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,8,7,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[7,3,5,8,2,4,1,6]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,1,3,2,6,7,8,5]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,6,5,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,7,3,5,2,1,8,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[7,1,4,2,5,6,8,3]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,6,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[2,4,1,5,8,7,6,3]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[4,1,2,5,8,6,7,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[6,4,2,1,5,8,7,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[8,5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,5,3,2,6,8,1,4]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,1,5,3,6,8,7,4]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,3,5,4,6,1,8,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,5,2,1,4,3,8,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,5,2,7,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,3,7,5,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,1,6,5,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,3,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,6,2,4,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,2,3,4,8,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,6,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[3,6,7,4,1,8,5,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[2,1,6,7,4,8,5,3]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,8,3,7,4,2,6,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,8,7,4,1,2,6,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,8,1,3,5,2,6,4]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,8,7,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,8,1,2,7,6,3,5]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[3,8,4,2,5,7,1,6]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,8,3,5,2,7,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[2,1,5,3,8,7,6,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,5,3,2,8,7,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,1,4,8,6,5,7,2]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[7,1,6,5,4,8,2,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,7,1,6,8,2,4,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,6,2,5,8,3,7,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,5,2,8,3,4,6,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,6,2,8,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,6,8,7,1,5,4,2]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,7,8,4,5,3,6,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,7,8,5,4,6,3]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,1,5,8,4,6,3,7]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[6,5,3,8,4,1,2,7]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[3,4,8,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,1,8,2,4,7,6,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[2,3,8,1,4,6,7,5]=>[1,4,6,7,2,3,8,5]=>[1,7,2,4,8,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[2,1,4,8,3,5,7,6]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[6,8,2,4,3,5,1,7]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,8,2,3,5,1,6,7]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,2,1,4,6,5,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,8,1,3,4,5,7,6]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[3,5,7,2,4,1,6,8]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[7,5,8,2,4,1,6,3]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,5,3,4,7,6,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,7,6,1,4,5,3]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[2,8,5,3,4,7,1,6]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,5,3,4,6,7,1]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[6,5,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,5,2,8,3,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[3,5,7,6,1,4,8,2]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[3,5,7,2,4,1,8,6]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,5,7,2,4,6,8,1]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,5,2,7,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,1,6,7,4,3,8,2]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[5,1,2,6,4,8,7,3]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,1,2,8,6,4,7,3]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,1,6,8,7,3,2,4]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[3,1,4,8,6,2,7,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[3,1,4,8,6,5,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[7,1,6,5,8,3,2,4]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,1,6,7,8,3,2,5]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[3,6,5,2,8,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,1,2,5,8,4,7,3]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[7,1,6,5,8,3,4,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,6,7,8,3,5,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,1,2,6,8,5,7,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[4,1,2,5,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,4,2,1,5,3,6]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,4,8,1,5,7,3,6]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,3,5,4,2,1,6]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,2,5,6,4,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,3,8,2,6,4,7,5]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[5,3,7,1,6,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,1,2,5,8,7,4,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,4,2,1,5,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,4,7,1,5,3,6,8]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,2,8,6,4,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,7,5,8,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,5,6,8,2,4,7,3]=>[1,5,6,8,2,4,7,3]=>[1,8,7,2,5,6,4,3]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,2,8,1,4,7,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,6,5,8,3,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,6,5,7,1,2,8,3]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,1,4,2,3,8,6]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,3,4,5,8,7,2]=>[1,3,4,5,8,2,6,7]=>[1,8,3,4,5,2,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,4,2,7,6,8,3]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,2,4,7,8,3,5]=>[1,6,2,4,7,8,3,5]=>[1,6,8,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,7,2,4,1,6,3,8]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,1,4,2,8,5,3,7]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,8,2,1,5,6,3,7]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[4,2,7,8,1,6,3,5]=>[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,1,4,7,8,2,6,5]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,8,6,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,8,1,2,5,3,7,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,8,6,5,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,3,7,8,2,1,6,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,2,8,7,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,6,8,7,5,2,4,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,8,5,1,2,4,6]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,7,1,6,4,2,5,8]=>[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[4,7,8,6,3,5,1,2]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,1,7,6,5,3,4,8]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,8,1,6,4,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,7,5,1,4,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,8,6,7,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[2,7,8,6,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,6,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[3,6,2,7,1,4,8,5]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,7,5,1,2,4,8,6]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[5,7,4,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,7,6,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,8,4,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[6,8,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[2,5,7,4,8,1,3,6]=>[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[8,4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,3,7,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,7,1,5,8,6,2,3]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,3,7,8,5,1,2,4]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[3,6,8,2,7,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[2,5,8,7,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,6,8,2,7,1,3,5]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,1,8,6,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,8,7,1,6,2,3,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,5,3,8,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,8,7,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,7,8,4,1,6,5,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,5,1,4,8,6,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,8,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[2,3,4,5,6,8,9,1,7]=>[1,7,2,3,4,5,6,8,9]=>[1,7,2,3,4,5,6,8,9]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]]
[2,3,5,6,7,8,9,1,4]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,5,6,7,8,9,1,3]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[2,3,4,5,6,7,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[2,3,4,5,6,7,8,10,1,9]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[2,3,4,5,1,8,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[2,4,5,6,7,8,9,10,1,3]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,6,4,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,6,2,7,4,5,8,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[4,2,5,7,3,6,8,1]=>[1,2,5,7,3,6,8,4]=>[1,2,7,8,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,7,6,2,4,5,8,1]=>[1,2,4,5,8,3,7,6]=>[1,2,8,4,5,7,3,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,3,1,2,8,4,7]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,3,1,2,8,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,8,5,2,3,6,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,8,6,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,2,8,3,7,1,5,6]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[1,7,3,8,2,4,5,6]=>[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,4,1,3,6,8,2,7]=>[1,3,6,8,2,7,4,5]=>[1,8,3,7,4,6,2,5]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,3,2,8,7,1,4,6]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[8,5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,3,8,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,4,7,8,2,6,1,3]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,6,2,8,7,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,1,5,8,7,2,3,6]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,8,3,7,5,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[8,1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[7,4,8,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[8,1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,1,3,2,5,6,8]=>[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,4,3,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[7,4,1,3,2,6,8,5]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[7,5,1,3,6,2,8,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,1,4,8,6,2,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,5,3,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[7,5,1,3,8,2,4,6]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,3,7,8,2,4,1]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,5,8,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,5,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,3,7,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,5,3,7,8,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,4,3,2,7,8,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,8,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,3,7,8,2,1,4,6]=>[1,4,6,2,3,7,8,5]=>[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,6,1,2,5,8,3,4]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[8,3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,1,2,5,4,6,3]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,7,4,2,1,6,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,7,2,8,1,3,6,5]=>[1,3,6,2,8,4,7,5]=>[1,6,3,8,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,8,2,4,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,2,4,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[1,4,2,8,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,5,2,8,3,7,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,6,2,8,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,7,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,6,3,7,5,2,1,8]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[4,6,3,8,5,1,2,7]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,2,7,5,3,1,8]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,8,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,8,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,6,8,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,8,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,2,8,5,1,3,7]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[5,6,8,2,4,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,8,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,1,3,5,2,4]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,2,7,8,1,6,4,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,7,8,1,6,5,4]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,7,2,8,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,7,8,1,3,5,4,2]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,4,5,2,3]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,7,8,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,3,4,5,2]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,8,2,1,4,6,3]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,7,2,8,1,5,6,3]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,2,7,8,1,5,6,4]=>[1,5,6,2,7,8,3,4]=>[1,6,8,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,3,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,7,3,8,1,6,5,2]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,5,4,8,1,7,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[5,7,8,3,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,8,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,8,3,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,7,8,1,5,4,6]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[5,7,8,2,1,4,3,6]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,1,2,5,4,3]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,1,2,4,5,3]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,2,7,8,1,4,6,5]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,5,4,3,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,3,7,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,3,2,8,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,4,8,5,2,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,4,8,5,1,3,7,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,7,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,3,7,5,1,2,8,6]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,3,7,1,5,6,8,2]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[3,6,1,7,5,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,5,7,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,6,1,8,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,5,8,2,7,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,2,5,8,3,7,1,4]=>[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,6,5,7,3,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,6,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,8,6,1,7,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,8,6,5,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,7,3,5,8,6,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,2,4,7,8,6,1,5]=>[1,5,2,4,7,8,3,6]=>[1,5,8,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,3,6,1,4,8,2,7]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,7,6,5,8,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,1,6,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,1,4,2,7,8,6,5]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,1,4,7,2,8,6,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,6,4,7,8,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[2,5,4,6,1,7,8,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,4,3,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,8,3,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,8,4,5,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,2,1,6,5,4,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,4,6,5,1,3,2,8]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,6,4,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,1,7,5,4,8,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,4,8,5,1,3,7,6]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,8,4,3,7,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,7,8,4,3,6,5,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,6,8,5,7,3,1,4]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,5,8,6,7,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,5,8,3,1,2]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,8,6,5,7,3,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,7,5,6,8,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[4,6,5,7,8,2,1,3]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[5,7,3,2,6,8,4,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[5,6,3,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,2,1,4,3,8,7,6]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,3,4,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,7,3,2,8,6,5,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,3,5,1,8,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,2,1,5,8,3,7,6]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,6,1,8,7,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,7,5,8,6,2,4,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,8,5,7,6,2,4,3]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,6,7,8,5,4,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[3,5,7,8,6,1,4,2]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,6,8,7,5,4,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,3,1,7,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,6,2,1,7,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,5,1,8,4,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,6,1,7,5,8,3]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,6,1,2,7,5,8,3]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[7,5,1,2,6,8,4,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[8,4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,5,1,2,7,6,8,4]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,6,1,5,8,3,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,6,7,1,5,8,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,1,6,5,8,2,4,3]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[8,3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,5,1,7,4,8,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,1,5,2,7,4,8,3]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,8,3,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,2,6,8,4,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[8,3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[3,1,2,4,7,6,8,5]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[9,7,10,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]]
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,3,4,5,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,6,3,8,4,5,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,3,1,4,2,6,8,5]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[7,4,1,5,6,8,2,3]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,7,8,5,6,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[3,7,8,5,6,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[3,6,2,8,4,5,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,4,5,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,2,4,1,3,7,5,8]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,2,5,1,7,3,4,8]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,4,6,7,3,8,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[4,2,6,7,3,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,6,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[4,3,6,7,2,1,8,5]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,4,5,2,7,8,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,2,7,8,6,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,7,1,2,8,6,5,3]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[6,8,7,1,5,3,2,4]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,1,3,6,5,2,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,3,6,5,2,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,7,2,8,6,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,7,3,4,8,6,5,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,8,2,3,6,5,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,2,7,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,4,8,7,1,5,3]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,6,8,3,4,7,5,2]=>[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,7,1,2,6,3]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,5,7,1,2,6,3]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,8,5,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,6,4,8,3,7,5,2]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,3,2,5,1,4,8,7]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,8,5,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,1,8,5,4,7,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,5,2,7,4,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,4,2,7,5,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,3,2,7,6,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,5,3,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,5,1,2,8,4,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,4,1,2,8,5,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[5,3,1,2,8,6,4,7]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[6,1,2,5,8,3,4,7]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,1,5,6,8,2,3,4]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,6,1,5,7,8,3,4]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,2,1,5,8,7,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,3,1,5,8,6,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,2,4,1,8,5,7,3]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,2,5,1,8,4,7,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,3,1,4,8,6,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[6,2,1,4,8,7,3,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,2,1,3,8,7,4,6]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,6,7,1,4,8,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[7,6,1,4,8,3,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[4,2,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,6,1,4,7,8,3,5]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,1,2,4,8,3,5,7]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,1,8,4,7,3,6,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[3,1,8,5,7,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,1,8,5,7,4,6,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[4,1,7,3,6,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[8,4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[6,2,3,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,3,1,7,4,8,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[8,5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,1,6,3,8,5,7,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,1,6,2,8,4,7,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,1,8,5,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,1,7,4,8,5,6,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,1,7,4,8,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[7,3,6,2,8,4,5,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,3,6,2,5,4]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,6,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[1,4,8,2,5,7,3,6]=>[1,4,8,2,5,7,3,6]=>[1,8,7,4,2,3,5,6]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,1,4,2,3,6,5]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,8,5,1,4,2,6,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,8,4,3,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,6,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,4,6,8,3,7,5,2]=>[1,4,6,8,2,3,7,5]=>[1,8,2,4,7,6,3,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[2,4,8,5,3,1,6,7]=>[1,6,7,2,4,8,3,5]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,5,8,1,4,7,6,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,7,5,1,3,6,8,2]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[7,5,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,7,3,6,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[5,3,6,7,2,1,8,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,4,7,2,5,3,8,6]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,6,5,7,8,2,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,7,6,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,7,6,8,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,2,8,4,5,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,7,8,6,3,2,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[7,6,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[1,6,4,3,8,2,5,7]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[3,6,5,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,6,4,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,2,1,4,8,3,5,6]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[7,1,6,5,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,6,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,7,1,5,2,8,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,1,5,2,8,3,4,7]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,6,5,4,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,1,5,3,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,6,1,5,3,2,8,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,2,4,3,1,6,8]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[7,4,6,1,2,5,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,8,1,4,2,5,7,3]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,4,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[1,6,3,7,5,4,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,3,5,6,4,2,8]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[7,3,1,6,4,5,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,2,4,1,5,3,6,8]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,8,1,2,3,4,7,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,1,8,2,3,6,7,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,2,8,1,3,7,4,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,8,2,4,1,5,7,3]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,8,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,5,1,7,8,3,6,4]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[2,5,3,6,8,4,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[2,5,7,8,1,4,6,3]=>[1,4,6,2,5,7,8,3]=>[1,6,8,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,2,1,8,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,2,8,6,5,3,7,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,4,2,7,5,8,6,3]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[5,8,4,7,6,2,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,4,8,3,1,7,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,1,3,8,6,7,2,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,7,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,4,8,1,2,7,3,5]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,8,5,2,4,3,7,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,5,1,2,7,6,3,8]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,5,1,2,6,8,7,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[3,5,6,1,8,4,7,2]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[3,5,7,1,2,8,6,4]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[3,6,2,7,5,1,4,8]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[4,2,6,1,7,3,5,8]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,6,3,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,5,3,1,7,6,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,5,7,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[3,5,2,7,8,1,6,4]=>[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,1,4,7,5,6,2,8]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[4,2,5,6,1,8,7,3]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,1,3,7,5,2,4,8]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]
[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,7,4,1,5,8,6,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,3,7,1,5,8,6,4]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[5,2,8,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[2,1,6,8,3,4,7,5]=>[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]
[2,8,6,4,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,7,4,5,1,8,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,1,7,8,3,4,6]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[4,7,2,3,6,8,1,5]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,2,7,3,6,8,1,4]=>[1,4,2,7,3,6,8,5]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,7,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[5,7,3,4,6,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[8,2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,8,3,6,7,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[8,4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,8,3,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[5,2,8,4,7,1,6,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,3,1,8,2,4,7,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,7,4,1,6,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,6,3,7,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,3,2,7,8,5,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,5,6,8,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,5,6,8,1,7,3]=>[1,7,2,4,5,6,8,3]=>[1,7,8,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,8,3,5,6,1,7,2]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[5,6,2,3,7,8,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,8,7,3,4,1,2,5]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,4,7,2,5,3,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[5,4,8,7,2,6,3,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,5,8,7,6,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,5,8,7,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[8,5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[5,1,8,3,7,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,8,1,7,2,5,3,6]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,1,2,7,5,4,6]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,1,4,8,7,6,5,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,1,8,3,7,6,4,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,8,1,3,7,5,4,6]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[8,2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,8,2,3,7,5,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,4,3,6,8,2,5,7]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,5,1,8,2,4,7,6]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[1,4,5,2,8,3,7,6]=>[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,1,6,5,8,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,6,4,2,5,8,3,7]=>[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,4,7,5,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,4,5,2,8,7,3,6]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,1,8,6,2,4,7,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[8,3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,7,4,2,8,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,4,8,5,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[8,5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,7,2,8,5,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,2,8,7,5,3,6,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,6,2,4,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[5,7,1,6,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[6,1,4,5,3,7,8,2]=>[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[6,1,4,8,3,5,7,2]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[8,1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,3,5,7,2,1,4,8]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,4,8,6,3,1,7,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,4,1,8,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,3,5,8,2,1,6,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[7,3,5,6,2,1,4,8]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,7,6,8,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,7,1,3,6,5,8,4]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,8,1,6,4,7,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[2,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[9,1,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,9,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,5,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,6,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,8,2,6,5,1,7,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,8,6,5,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,5,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,2,7,6,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[6,1,8,2,4,7,3,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[5,1,8,3,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,2,8,7,1,6,5,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,7,2,1,6,4,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,8,7,1,3,5,4,2]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,8,2,5,6,3,4]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[8,6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,6,8,1,4,3,5,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,8,3,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[6,4,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[8,4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,1,4,2,6,3,8]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,5,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,6,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,2,6,1,5,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,7,1,4,6,5,8]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,7,2,1,3,6,5,8]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,7,1,2,4,5,3,8]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[7,6,1,2,5,4,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[8,6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[6,8,1,2,4,3,7,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,8,1,3,2,4,7,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[3,2,8,1,4,5,7,6]=>[1,4,5,7,2,8,3,6]=>[1,7,8,4,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,2,4,3,6,7,8]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,1,2,3,5,4,7,8]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,3,7,8,6,1,2,4]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[3,8,4,5,7,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,4,8,6,7,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,5,6,1,8,7,4,3]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,5,6,8,2,3,7,4]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[1,5,6,2,8,4,7,3]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,4,2,6,8,5,7,3]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,3,1,5,7,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,1,6,8,7,5,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,8,1,6,3,4]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,1,2,8,4,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,7,3,4,8,6,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[3,8,1,2,7,4,5,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,3,7,5,8,6,2]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[8,2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,2,8,3,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,7,2,3,8,6,1,4]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,1,7,4,8,2,6,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,1,7,4,8,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[5,7,3,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,6,7,8,4,3,5,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,1,7,8,4,2,5,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,2,7,8,4,5,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,2,7,8,4,1,5,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[6,2,7,8,1,5,4,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,2,7,8,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,6,7,8,3,5,4,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,1,7,8,2,5,4,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,1,7,8,5,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,8,5,2,7,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,5,2,8,4,7,3,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[6,3,4,5,8,7,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[3,8,4,7,5,2,1,6]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,1,4,7,2,3,6]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[5,6,1,4,8,7,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,6,4,8,5,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,3,8,4,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,3,7,1,6,8,2,4]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,8,1,7,6,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,1,2,7,8,5,3]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[3,6,4,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,3,7,5,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,5,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,8,3,5,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,3,7,4,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,8,6,7,1,4,5,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[5,3,8,7,4,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,8,7,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[5,6,1,8,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,4,2,7,3,6,8,1]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[7,5,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,4,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,7,4,3,5,8,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[3,7,6,4,5,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[2,7,6,5,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,6,5,2,8,3,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,4,6,3,1,8,2,7]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[6,5,8,4,2,7,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,8,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,6,2,5,7,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,8,5,3,2,6,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,8,6,3,7,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,1,6,3,2,5,4]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,8,5,7,3,6,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[5,1,7,6,8,3,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,1,5,8,4,2,6]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[8,2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,1,5,8,3,6,7]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,7,5,6,8,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[6,5,4,8,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,5,2,8,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,1,8,3,7,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,4,8,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,8,3,2,6,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,6,8,2,4,7,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,7,3,8,2,6,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,2,6,8,7,3,4,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[4,7,2,8,6,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[3,6,8,1,7,2,5,4]=>[1,7,2,5,3,6,8,4]=>[1,7,5,8,2,3,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,2,8,6,4,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,1,8,6,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,2,8,7,6,3,4,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,5,8,3,7,6,2,4]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[6,8,7,2,5,4,3,1]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[3,7,4,8,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,7,3,8,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,7,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,8,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,1,5,2,6,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,7,3,6,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]]
[1,4,3,5,6,7,8,9,2]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]]
[3,2,4,5,6,7,8,9,1]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,7,4,6,2,3,1,8]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,4,6,3,7,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[5,6,4,8,3,7,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,6,3,7,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,6,3,7,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,6,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,6,4,8,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,4,6,2,7,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,4,5,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,4,6,2,3,1,7]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[5,6,4,8,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,3,8,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,6,3,4,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,2,7,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,6,3,5,2,8,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,6,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,8,3,6,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,8,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,8,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,3,5,2,6,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,6,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,7,3,4,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,7,3,4,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,7,2,4,1,5]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,7,3,5,2,6,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,5,3,7,2,6,1,8]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,5,3,7,2,8,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,5,3,8,2,7,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,3,5,2,7,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,8,3,4,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,3,4,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,8,3,4,2,5,1,7]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,8,3,5,2,6,1,7]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,5,3,6,2,8,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,7,5,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,6,5,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,5,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,4,6,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[4,6,8,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,7,8,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,4,8,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[6,4,8,1,7,5,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,8,7,2,1,3,4]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,2,8,7,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,1,7,8,6,4,5,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,3,2,8,6,4,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,6,8,5,2,4,3,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,7,8,6,2,3,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,8,7,5,3,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,8,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,6,2,7,3,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,6,1,8,7,4,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[3,7,1,8,6,4,5,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[3,8,1,6,7,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[4,7,6,2,8,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,7,4,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,6,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[6,7,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[8,6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,1,7,6,8,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,5,7,8,1,2,4,3]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[5,2,8,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[6,2,7,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,5,4,3,8,7,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[7,1,5,3,4,8,6,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,2,4,5,6,3,8]=>[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,3,2,7,5,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,2,8,4,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,6,1,8,5,2,4,7]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,1,2,6,8,5,7]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[5,8,1,6,3,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,6,7,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,2,1,3,8,6,4,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,8,2,4,1,3,7,6]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,5,8,7,2,4,1,6]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,2,1,3,7,8,5,6]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[2,4,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[8,6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,1,3,6,4,7,5]=>[1,3,6,2,8,4,7,5]=>[1,6,3,8,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,8,2,3,4,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,1,8,3,2,4,6,7]=>[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[8,7,6,5,4,9,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[8,7,6,5,4,3,9,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[8,7,6,5,4,3,2,9,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]
[8,7,6,4,5,9,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]
[8,7,6,5,3,4,9,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[8,7,6,5,4,2,3,9,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[9,8,7,6,5,4,3,10,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[8,7,6,5,4,3,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[9,8,7,6,5,4,3,2,10,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,7,3,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,5,7,8,6,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,3,6,4,8,5,7,2]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,3,6,4,7,5,8,2]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,2,4,7,5,8,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[6,2,1,3,7,8,4,5]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[7,5,4,2,6,8,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,8,4,1,3,2,5,7]=>[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,8,7,4,3,2,5,6]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,6,3,8,2,4,7,5]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,3,8,1,2,7,4,6]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,7,3,1,2,6,4,8]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[1,4,6,2,8,3,7,5]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,3,1,6,7,2,4,8]=>[1,6,7,2,4,8,3,5]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,6,3,2,7,8,4,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,3,4,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[6,3,1,4,2,7,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,8,3,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[8,6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,2,3,6,7,1,8,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,2,3,4,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[8,6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,7,5,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,7,5,4,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,1,4,8,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,4,6,8,2,7,3,5]=>[1,4,6,8,2,7,3,5]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,4,7,6,2,8,3,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,4,7,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,7,5,1,2,8,4,6]=>[1,2,8,3,7,4,6,5]=>[1,2,8,7,6,4,3,5]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]]
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[1,4,6,2,8,7,3,5]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,1,2,6,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[2,1,7,6,3,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[5,1,4,2,7,8,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,2,6,8,7,3,5]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,1,2,8,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,1,2,7,6,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,3,7,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[1,8,7,3,4,2,5,6]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,4,2,7,8,3,6,5]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,2,8,1,3,4,7,6]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,4,2,6,8,3,7,5]=>[1,4,2,6,8,3,7,5]=>[1,4,8,2,7,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,7,8,3,4,6,5]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,1,2,3,4,10,5,6,7,8]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,1,2,3,4,5,6,7,8,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,8,4,3,5,6,1]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[5,7,8,3,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,6,4,8,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,2,7,8,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,6,3,7,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,6,3,7,2,1,8,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,5,4,2,7,8,1,6]=>[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[8,4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,7,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,2,6,4,8,5,1,7]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,5,2,4,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,2,1,5,7,3,6,8]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[4,2,5,3,8,1,6,7]=>[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,5,8,3,1,6,7]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,1,5,3,8,2,6,7]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,1,5,8,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,6,2,5,1,7,8]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,6,3,2,5,1,7,8]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,1,4,3,7,8,6]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[5,3,6,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,2,4,1,3,7,8,5]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[3,6,4,1,2,7,5,8]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[5,3,6,2,1,4,7,8]=>[1,4,7,8,2,3,6,5]=>[1,8,2,4,6,3,7,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[4,6,7,2,3,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[7,2,1,4,6,3,8,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[6,3,2,1,5,7,4,8]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,4,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[7,2,1,5,3,6,8,4]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,3,5,1,2,7,4,8]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,2,6,4,1,3,7,8]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[6,5,3,1,4,7,2,8]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,4,1,5,8,3,7,6]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,4,5,8,2,1,7,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,6,2,1,7,8,5]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,4,6,2,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[3,5,6,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[3,5,6,2,7,1,8,4]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,4,8,6,3,7,1,5]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,8,4,6,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,4,6,3,7,5,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[3,4,6,2,8,7,5,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[3,5,6,2,7,8,4,1]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[3,5,6,2,7,4,1,8]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,5,6,8,7,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,5,8,6,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,5,6,8,7,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,4,1,6,8,7,3,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,5,1,6,7,8,4,3]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,5,1,6,7,4,8,3]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,5,1,6,7,4,3,8]=>[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,6,1,7,4,8,2]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[3,4,6,1,8,7,5,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,8,4,6,2,7,5,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,5,6,8,7,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,5,8,6,7,4,3,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[8,2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[6,1,5,7,3,2,4,8]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,5,8,3,2,4,7]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[3,6,8,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,5,6,7,1,8,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,5,1,7,8,4,6]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[6,1,5,7,8,3,2,4]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,8,6,1,7,3,4,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,5,8,7,3,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,5,1,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,2,4,1,8,7,5,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,6,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,5,1,6,7,8,4]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,4,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,4,1,7,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,4,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,2,4,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,2,5,1,8,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[3,2,5,1,6,7,4,8]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,5,1,8,4,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,4,2,3,8,5,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,5,1,6,4,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,2,5,1,7,6,4,8]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,5,1,8,6,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,3,2,4,8,6,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[8,6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,4,1,8,6,5,7]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,2,4,1,5,8,6,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,5,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,5,1,8,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,6,3,7,1,8,5,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[4,6,3,7,5,1,8,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,5,7,4,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,4,7,3,6,1,8,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[4,3,7,5,1,8,6,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,4,3,6,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,4,3,6,7,1,8,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,2,5,8,1,6,7,4]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,6,2,1,8,5,7,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,4,1,7,5,8,6,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,4,8,2,1,6,3,7]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,8,4,1,6,3,7]=>[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[3,2,5,6,1,8,4,7]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,2,1,6,8,5,4,7]=>[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]
[3,2,7,1,5,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,8,2,5,1,6,7,4]=>[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,8,2,6,7,1,5]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,2,6,7,8,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,3,2,6,7,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,5,7,4,8,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[1,6,8,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,2,5,7,1,6,4,8]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,3,2,7,1,5,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[6,3,2,7,8,1,5,4]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,2,1,8,5,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,3,2,7,1,4,8,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[6,3,2,1,4,7,5,8]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,8,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,6,2,1,8,3,7,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,7,1,4,8,6,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,3,7,2,1,5,6]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[4,3,7,2,8,1,5,6]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,3,7,2,1,5,6,8]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,3,2,8,1,4,7,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,1,4,7,5,8,6]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,8,2,1,5,6,7]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[8,7,6,4,5,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,9,8,7,5,6,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[9,8,7,5,6,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[8,3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[8,3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,8,4,5,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[8,1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[8,2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[2,1,8,3,7,4,6,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,1,8,3,7,5,6,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[8,1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[8,5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,5,8,1,3,2,7,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,8,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,5,8,7,3,6,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,2,8,4,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,6,2,8,4,5,7,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,8,4,6,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,1,6,8,4,5,7,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,6,8,4,5,7,1]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[6,3,7,8,4,1,5,2]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,3,7,8,4,6,5,2]=>[1,3,7,8,2,4,6,5]=>[1,8,3,2,6,4,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[1,5,7,8,2,4,6,3]=>[1,5,7,8,2,4,6,3]=>[1,8,6,2,5,4,7,3]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]
[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,6,8,7,3,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,8,3,7,1,6,5,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,2,8,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[7,2,1,8,4,6,5,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,2,7,8,4,6,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,2,7,8,1,4,6,3]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,2,7,8,5,4,6,3]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,2,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,2,5,8,3,4,6,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[6,2,8,5,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,8,5,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,3,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,7,6,8,4,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,7,1,8,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,7,5,8,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,7,5,8,3,4,6,2]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[4,6,8,5,1,3,2,7]=>[1,3,2,7,4,6,8,5]=>[1,3,2,7,8,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[5,6,8,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[2,8,4,1,5,6,3,7]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,1,8,3,5,6,2,7]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,6,8,1,5,3,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,7,1,8,5,4,6,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[2,7,3,8,4,6,5,1]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[7,1,3,8,4,6,5,2]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[5,7,8,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,5,8,4,2,3,1,7]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,4,3,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,3,2,8,5,4,6,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[6,4,8,2,5,3,1,7]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,2,3,8,5,4,6,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[5,1,3,2,4,8,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,8,1,5,3,4,7,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,2,8,4,5,3,7,6]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,5,1,4,8,2,6,7]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,5,2,8,4,3,6,7]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,2,8,5,4,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[1,2,5,4,3,8,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,4,8,5,3,7,6]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,2,7,4,8,5,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[5,1,2,7,4,8,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[2,8,1,5,4,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,2,8,5,7,4,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,8,1,4,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,1,2,8,7,4,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[6,4,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,6,4,8,1,7,2,5]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,6,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,7,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,3,7,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[7,1,2,8,5,3,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[1,7,2,8,4,5,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,4,2,7,8,5,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[6,1,2,8,4,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,4,1,2,8,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,6,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[6,7,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,7,5,8,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[1,2,5,8,7,3,4,6]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,2,5,8,3,7,4,6]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,2,8,1,7,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,8,1,7,4,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[7,1,2,8,4,3,6,5]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[1,2,8,7,4,5,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[3,8,6,1,4,7,2,5]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[8,6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,1,2,8,6,4,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[7,4,1,2,8,6,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,7,4,8,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,4,8,7,1,6,2,5]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,8,1,7,6,4,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,8,3,4,1,5,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,4,1,6,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,8,3,4,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,3,4,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,3,4,1,6,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,3,4,1,5,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,7,3,4,1,6,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,6,2,8,3,5,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,7,3,5,1,6,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,8,3,5,1,6,2,7]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,8,3,5,1,7,2,6]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,7,3,5,1,8,2,6]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[5,6,2,3,1,7,4,8]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,2,4,1,8,3,7]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,2,5,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,6,2,5,1,8,3,7]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,5,1,8,3,7,2,6]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,6,2,7,3,8,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,2,7,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,6,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,6,2,8,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[5,6,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,6,2,8,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,5,1,7,3,6,2,8]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,5,1,8,3,6,2,7]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,2,3,5,6,7,8,9,1]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[3,2,4,5,6,7,8,9,10,1]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[6,5,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[4,6,3,5,2,1,8,7]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[8,7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,6,1,4,5,2,8,7]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,3,8,4,5,7,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,8,7,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[2,8,7,4,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,6,8,5,7,4,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,5,8,4,7,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[4,3,8,1,5,6,7,2]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,8,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,7,4,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,3,6,1,4,7,2]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,8,3,6,1,2,7,5]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[3,8,1,2,5,6,7,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,8,7,4,5,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,8,3,6,2,1,7,4]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,6,8,4,5,7,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[6,1,8,4,5,7,2,3]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,8,3,5,1,7,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,5,8,3,6,7,4]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[5,8,3,6,1,2,7,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[4,1,8,2,5,6,7,3]=>[1,8,2,5,6,7,3,4]=>[1,8,7,3,2,5,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,8,1,4,7,6,2,3]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,3,1,6,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,5,3,8,6,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,7,8,9,10,1,2,3,4,6]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,5,7,6,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[1,5,7,3,6,8,4,2]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,2,7,3,6,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,4,7,6,8,5,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,1,3,7,6,8,5,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,7,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[5,8,7,3,6,1,4,2]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,8,4,7,6,1,5,2]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,8,4,7,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,8,3,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,8,2,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,1,2,8,5,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,2,7,8,6,5,3]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[8,4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,7,2,8,6,4,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,5,7,1,8,6,4,3]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,5,7,1,6,8,4,2]=>[1,6,8,2,3,5,7,4]=>[1,8,2,7,3,6,5,4]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[6,7,4,5,8,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]=>[1,6,8,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,5,7,8,2,6,4,3]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[8,5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,8,7,6,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,3,7,8,6,1,4,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,7,2,8,1,5,4,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,2,7,8,1,6,4,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,8,3,7,6,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[2,1,8,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,8,7,1,2,6,4,3]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,8,1,7,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,8,1,2,7,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,8,1,3,7,6,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,2,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,7,1,5,8,2,6,4]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[2,7,1,5,8,3,6,4]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[2,6,5,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,6,5,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,6,5,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,6,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,6,1,8,2,7,4]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[2,5,6,1,8,3,7,4]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[2,4,6,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,4,6,1,2,8,7,5]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,3,6,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[8,1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[7,2,1,5,8,3,6,4]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[6,2,5,1,8,3,7,4]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[2,3,6,1,4,8,7,5]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,2,4,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,2,1,4,3,8,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,3,1,4,2,8,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,6,3,1,2,8,7,5]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[3,6,4,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,7,1,4,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,1,4,2,8,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,7,1,3,2,8,6,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[3,7,1,2,4,8,6,5]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[3,6,2,1,4,8,7,5]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[5,6,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,2,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[7,3,1,2,4,8,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[6,2,3,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,4,3,6,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,4,3,6,5,8,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,4,6,3,5,8,1,7]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,4,6,3,5,1,8,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,1,6,5,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,5,8,1,7,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,2,6,5,8,3,1,7]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,4,1,6,5,8,3,7]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,1,4,6,5,8,3,7]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,4,1,6,5,8,7,3]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,2,6,5,3,8,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,2,6,5,8,3,7,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,6,4,3,8,7,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,6,4,3,8,7,5,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,4,6,1,8,5,7,3]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,1,6,8,5,7,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,1,4,6,8,5,3,7]=>[1,4,6,8,2,3,7,5]=>[1,8,2,4,7,6,3,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[2,4,1,6,8,5,3,7]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[2,4,6,1,8,5,3,7]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[2,4,6,8,1,5,3,7]=>[1,5,2,4,6,8,3,7]=>[1,5,8,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[2,4,6,8,3,5,7,1]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[2,4,6,3,1,8,5,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,3,6,8,1,5,7]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,4,3,6,1,8,5,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,4,3,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,4,3,6,1,8,7,5]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[4,6,5,2,8,7,3,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,6,5,2,8,7,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[4,6,2,5,8,7,3,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,4,6,3,1,8,7,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,1,6,3,8,7,5]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,1,4,6,3,8,7,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,4,6,8,3,7,5]=>[1,4,6,8,2,3,7,5]=>[1,8,2,4,7,6,3,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[2,4,1,6,8,3,7,5]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[2,4,6,1,8,3,7,5]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[4,6,2,8,5,7,3,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,6,2,8,5,7,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[6,2,4,8,7,1,3,5]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,4,2,8,7,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,6,4,8,1,7,5,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,1,6,4,8,7,5,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,1,6,4,8,7,3,5]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[2,6,4,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[2,6,4,8,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,2,4,8,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[6,2,4,8,7,3,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[5,2,4,7,3,6,8,1]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[1,7,6,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,1,7,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,7,4,5,8,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,1,4,7,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,7,6,4,8,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,3,1,7,5,8,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,8,6,3,7,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[6,8,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,8,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[5,7,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[6,7,1,3,8,2,4,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,2,4,8,3,6,7]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[4,3,6,1,5,8,2,7]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[2,6,1,4,5,8,3,7]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,6,2,4,8,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,4,2,1,5,8,3,7]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,3,5,2,1,8,6,7]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,6,4,8,7,2,3,5]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,3,2,8,7,1,5,6]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,2,4,8,7,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,2,8,3,7,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,1,4,8,7,2,3,6]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[4,8,2,5,1,3,7,6]=>[1,3,7,2,5,4,8,6]=>[1,7,3,5,2,8,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,7,2,5,1,3,8,6]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,8,2,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,8,2,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,7,1,4,6,8,5]=>[1,4,6,8,2,7,3,5]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[3,2,8,1,4,6,7,5]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,2,8,1,4,7,6,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,8,2,1,5,7,4,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,8,2,5,1,7,3,6]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,7,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[3,7,2,1,5,8,4,6]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[3,2,1,7,5,8,6,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,6,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,3,7,6,8,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,3,8,6,7,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,2,8,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,8,1,6,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,2,8,6,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,8,7,1,3,6,5]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,8,3,4,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,7,8,1,3,6,5]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,2,1,8,4,5,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[3,7,2,1,8,5,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[4,7,3,8,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,3,7,8,6,1,2,5]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,2,1,6,8,5,7,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,3,6,8,7,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,2,6,7,1,8,3,5]=>[1,8,2,6,7,3,5,4]=>[1,8,7,5,3,2,6,4]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[5,3,6,4,8,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,2,7,5,4,8,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,3,7,5,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,3,8,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[3,8,7,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,3,6,7,8,5,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,6,8,5,4,7,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,6,2,5,4,8,7,3]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,8,1,2,4,6,5,3]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,3,1,4,2,6,5]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,6,1,8,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[2,3,8,5,4,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,1,6,4,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,1,6,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,1,5,7,4,3,2,8]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,5,8,6,4,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[7,8,4,1,5,3,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,5,1,6,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,8,1,7,4,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,1,7,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,7,6,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,7,8,4,3,2,5]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,1,7,5,6,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,2,1,4,5,6,3]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,2,1,5,4,6,8,3]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,2,8,5,6,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,1,2,5,7,3,8,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[5,1,6,3,7,8,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,6,3,7,1,8,5]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[1,3,6,4,8,7,2,5]=>[1,3,6,2,5,4,8,7]=>[1,6,3,5,2,4,8,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,1,6,7,3,8,2,5]=>[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,4,6,1,3,7,2,8]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[6,4,1,5,2,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,2,4,5,8,3,7,6]=>[1,2,4,5,8,3,7,6]=>[1,2,8,4,5,7,3,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[7,2,3,5,4,1,8,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,8,3,5,4,1,7,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,8,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,6,4,7,8,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,5,8,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,8,7,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,5,7,8,4,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,1,8,2,7]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[1,6,5,8,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,5,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,5,1,4,3,2,8]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,9,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,9,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]]
[1,2,5,3,6,7,8,9,4]=>[1,2,5,3,6,7,8,9,4]=>[1,2,5,9,3,6,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]]
[1,4,2,5,6,7,8,9,3]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]]
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,6,2,5,4,1,7,8]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[6,1,2,5,4,7,8,3]=>[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[6,2,4,5,1,3,7,8]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[4,2,8,5,1,3,7,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,3,6,8,1,7,2,5]=>[1,7,2,5,3,6,8,4]=>[1,7,5,8,2,3,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,6,4,1,7,2,8]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,2,1,5,8,3,7,4]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[1,6,7,4,8,3,5,2]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,4,6,3,7,5,8,2]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,6,7,2,5,8,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[2,7,5,4,1,6,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,5,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,7,5,4,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,4,6,3,5,8,7,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[1,5,8,4,3,6,7,2]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[2,5,4,1,6,7,3,8]=>[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,6,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[5,6,3,2,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,5,2,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,8,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,3,8,2,1,6,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,7,5,8,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,3,2,8,5,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[8,6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,8,4,3,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[7,5,8,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,7,3,2,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,3,7,2,5,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,5,7,8,4,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[3,6,7,2,8,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,3,7,2,8,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[3,2,6,1,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,5,2,1,4,7,6,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,5,2,1,8,4,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,7,2,8,6,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,7,3,2,1,5,6,8]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[8,3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,2,8,6,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,8,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,8,9,7,6,5,4,3,2]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[8,9,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,8,7,9,6,5,4,3,2]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,7,9,8,6,5,4,3,2]=>[1,7,9,2,3,4,5,6,8]=>[1,9,2,3,4,5,7,6,8]=>[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]]
[1,9,10,8,7,6,5,4,3,2]=>[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[7,8,3,5,4,6,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,4,1,6,3,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,4,1,6,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,7,1,6,2,8,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,1,6,2,8,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,6,5,1,4,8,7]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,3,6,4,1,5,8,7]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[2,3,6,1,5,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,7,6,1,4,8,5,3]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[2,7,6,1,4,8,3,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[7,3,5,1,8,4,2,6]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[7,3,5,1,8,6,4,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,7,6,1,5,8,4,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,1,7,6,3,8,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,7,6,3,8,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,7,3,6,2,8,4,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,7,6,4,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[7,3,5,1,8,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,5,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,3,4,8,5,7,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,4,3,5,8,7,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[7,3,5,4,8,1,6,2]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[2,3,4,8,7,5,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,7,6,5,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[7,3,5,6,8,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[7,3,5,6,8,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,4,1,5,8,7,2,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,4,1,5,8,7,3,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,4,1,5,8,3,7,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[5,7,1,6,3,8,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,4,1,5,8,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[7,4,1,5,8,2,3,6]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[6,3,5,7,8,2,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[6,3,5,7,8,2,4,1]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[2,7,6,4,5,8,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,3,6,1,8,4,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[2,3,4,8,5,6,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,8,7,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,8,1,7,6,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,8,1,6,7,5]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,3,4,8,5,1,7,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,3,5,4,8,2,7,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,4,3,5,8,2,1,6]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,4,8,5,1,6,7]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,3,4,8,1,6,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,8,1,5,7,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,8,2,6,1,5,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,1,6,2,5,3,4]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,8,6,7,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,8,5,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,1,7,2,6,3,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,2,7,1,6,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,8,6,7,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,8,5,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,1,7,5,6,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,2,7,4,6,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,8,1,7,4,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,8,4,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,8,2,7,1,6,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,8,1,7,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,8,4,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,8,1,7,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,8,4,7,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,3,7,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,8,1,7,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,8,1,7,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[1,8,3,7,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,3,7,2,6,4,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,8,1,7,2,6,4,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,8,2,7,1,6,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,2,7,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,2,7,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,2,7,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,3,7,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[3,8,4,7,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[2,8,4,7,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[2,8,3,7,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,8,3,7,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[2,8,3,7,1,6,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,1,7,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,5,1,8,6,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,8,6,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,8,4,5,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,8,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,6,7,3,8,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,1,8,3,5,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,4,2,8,6,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,3,1,8,4,2,5,6]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[7,2,8,4,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,2,8,3,5,1,6,4]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[7,2,8,3,4,6,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,5,7,8,2,6,3,4]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[6,2,3,8,5,7,4,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[6,3,1,4,8,5,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[2,6,3,7,8,5,4,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,6,3,7,8,4,5,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,4,7,3,5,6,8,1]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,4,7,3,6,8,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[3,1,5,4,7,8,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,1,4,8,2,6,7]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[5,2,4,8,6,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,3,8,4,6,7,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,8,2,3,5,7,1,6]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[1,4,7,8,3,6,2,5]=>[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[4,8,1,3,6,7,2,5]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,4,3,8,1,2,7,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,4,2,8,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,8,2,5,1,7,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[6,3,8,1,4,7,2,5]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[5,8,1,3,6,2,7,4]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,8,1,4,2,6,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,1,2,8,7,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,3,1,6,4,2,7,8]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,2,6,4,1,7,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,5,1,7,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,5,7,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,6,2,7,5,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,2,5,7,1,8,6,3]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,4,7,2,8,6,1,5]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,4,5,8,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,4,6,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,1,2,5,6,8,7]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[5,3,6,8,4,7,2,1]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[3,7,2,5,4,8,6,1]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,1,6,5,8,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,7,1,8,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,7,1,5,4,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,7,6,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,8,2,3,4,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,7,2,8,4,3,6,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,7,8,2,4,3,5,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,8,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[3,7,6,2,4,8,5,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[5,7,3,8,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,7,3,5,8,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[8,7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,7,6,8,4,1,2,3]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,7,6,5,8,1,2,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,7,6,5,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,8,9,2,3,4,5,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,1,2,3,4,5,6,7,8,9,11]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[7,1,8,2,3,4,5,6,9]=>[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,9,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,9,7,6,8]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[1,7,9,2,3,4,5,6,8]=>[1,7,9,2,3,4,5,6,8]=>[1,9,2,3,4,5,7,6,8]=>[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]]
[1,9,10,2,3,4,5,6,7,8]=>[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[3,6,4,8,7,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[5,6,4,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,6,2,4,7,8,5,3]=>[1,6,2,4,7,8,3,5]=>[1,6,8,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,6,2,4,8,1,5,7]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,7,2,8,1,6,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,4,7,2,5,8,6,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,3,8,4,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,5,6,4,8,7,1,2]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,6,8,5,3,7,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[6,8,5,3,4,7,1,2]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,6,5,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,8,5,2,7,3,6,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,2,7,5,1,8,6,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,8,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,3,6,4,8,2,5,7]=>[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,5,1,3,4,2,8,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[4,8,5,3,1,7,2,6]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,4,5,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,3,6,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,4,6,2,5,8,3,7]=>[1,4,6,2,5,8,3,7]=>[1,6,8,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,6,8,7,4,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,1,7,8,2,4,3,5]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[7,1,8,6,3,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,2,8,3,6,5,7,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,1,3,2,7,5,8,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,6,3,8,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,6,4,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,6,5,8,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,6,7,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,6,4,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,8,3,5,4,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,1,6,3,8,2,7,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,6,4,7,8,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,5,7,4,3,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,5,8,3,4,1,6]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,3,8,7,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,5,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,8,4,1,2,3,6]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,4,7,5,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,7,6,4,8,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,4,6,7,3,1,8,5]=>[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[7,8,4,6,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,6,4,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,6,5,8,4,2,1,7]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,6,8,4,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,8,6,5,3,2,7,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,7,5,8,2,6,4,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,3,8,5,7,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,3,8,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,8,7,5,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[6,8,5,2,1,4,7,3]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,1,5,6,3,7,4]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,8,2,5,7,6,3,4]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,8,6,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,8,7,5,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[7,6,5,8,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,1,7,6,8,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,3,7,8,6,2,4]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[7,2,5,8,1,6,4,3]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,8,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7,8]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,1,3,5,4,7,8,2]=>[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,1,5,3,4,7,8,2]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[7,5,6,2,4,1,8,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[8,1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,5,8,6,2,7,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,1,6,3,7,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,5,6,3,7,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,7,6,5,4,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,4,2,6,5,8,3]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,7,4,1,5,6,8,3]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,7,6,1,5,2,8,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,7,6,4,5,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,3,6,5,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,8,1,6,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,1,5,4,3,7,8,2]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,4,3,5,7,8,2]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[6,1,3,4,5,7,8,2]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,7,3,6,8,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[3,4,7,8,5,6,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,4,7,2,5,8,3,6]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,6,2,4,7,1,5,8]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[6,8,3,4,5,7,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,3,6,7,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[6,3,7,5,8,4,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,3,8,6,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,2,7,6,5,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[1,2,7,6,5,8,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,8,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,8,6,4,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,6,2,5,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[7,8,1,2,5,6,3,4]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[4,1,6,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,1,2,5,8,7,3,4]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,1,8,6,4,7,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[7,1,3,6,8,4,2,5]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,8,3,6,7,4,5,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[7,1,5,8,3,6,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,1,8,7,2,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,1,5,7,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,6,4,7,2,5,8]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,4,7,5,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[6,5,7,1,4,2,3,8]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,8,3,4,5,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,1,5,7,8]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[4,2,8,3,1,7,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,3,7,4,1,6,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,7,3,6,1,8,5]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[5,8,7,6,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[7,5,6,8,1,4,3,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,4,7,1,6,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,2,7,8,5,4,3,6]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,8,1,4,5,6,3,7]=>[1,4,5,6,2,8,3,7]=>[1,6,8,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,2,1,5,4,6,3,8]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,2,6,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[7,8,2,1,4,5,3,6]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,8,4,1,5,3,6,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,6,1,5,8,7,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,5,1,6,4,3,8,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,8,1,6,3,4,7,2]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,1,8,2,7,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,8,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,1,7,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,5,6,1,7,4,8,3]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,1,7,5,6,4,8,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,1,7,6,4,8,3,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,1,7,8,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,1,8,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,6,5,7,3,4,8,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,6,4,7,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[1,3,7,4,6,8,2,5]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,7,5,6,3,2,8,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[1,7,6,5,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,2,7,6,8,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,1,7,5,3,8,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,7,5,6,8,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,7,6,8,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,5,6,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,8,6,4,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,8,5,2,4,6,3,1]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,8,6,3,7,4,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,8,4,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,4,7,1,8,3,2,6]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,4,1,8,5,2,6]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,7,1,4,8,3,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,1,2,8,4,3,5,7]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[6,5,1,4,3,8,2,7]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,2,5,8,3,4,7]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[7,4,2,1,8,5,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,5,4,2,8,3,6,7]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,4,3,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,7,6,8,4,5,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[2,7,6,8,5,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,7,6,8,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,8,6,7,5,2,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,4,8,6,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[7,3,8,5,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[3,4,8,5,6,7,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,3,5,8,4,7,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[5,4,3,8,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,2,8,7,3,6,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[6,2,5,8,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[3,2,8,5,7,4,6,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[1,3,8,7,5,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,8,7,4,6,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,1,8,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,1,5,8,7,4,2,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,4,1,8,7,6,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,7,5,6,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[4,2,1,6,3,5,8,7]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[6,2,1,4,3,5,8,7]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,2,1,4,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[8,2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,2,4,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,2,4,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[2,1,6,4,3,5,8,7]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[2,6,1,4,3,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,6,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,4,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[8,4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[6,4,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[4,6,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[2,6,1,4,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,1,6,4,3,8,5,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,8,4,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,8,1,4,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,8,4,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,8,2,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,8,2,1,6,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[6,8,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,8,1,4,6,3,5,7]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[2,1,8,4,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[2,1,6,4,8,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[2,6,4,8,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[4,6,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,4,1,8,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,2,1,4,8,3,5,7]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[4,2,1,6,8,3,5,7]=>[1,6,8,2,3,5,7,4]=>[1,8,2,7,3,6,5,4]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[4,2,1,6,3,8,5,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,4,3,8,6,5,7]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,4,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,2,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,2,1,8,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,2,1,8,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[6,2,1,8,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[8,2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[8,2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,8,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,4,8,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,4,1,8,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,1,4,8,3,6,5,7]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,1,4,8,6,3,5,7]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[2,4,8,1,6,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,2,8,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,8,4,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[8,4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,6,8,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,8,4,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,7,3,8,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,8,1,4,3,5,7]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,1,6,8,4,3,5,7]=>[1,6,8,2,3,5,7,4]=>[1,8,2,7,3,6,5,4]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[2,1,8,6,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[2,8,6,4,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,8,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,3,8,1,7,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,4,1,5,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[4,3,6,1,5,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,5,2,8,1,7,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,3,7,2,6,5,8,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,3,8,2,6,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,3,8,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,3,8,1,5,2,7,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,1,8,3,4,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,8,1,3,2,7,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,5,4,8,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,7,6,8,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,6,8,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,7,1,8,5,6,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,3,6,5,8,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[6,3,5,4,7,2,8,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[6,3,5,4,8,1,7,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,6,3,8,4,5,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,4,6,5,8,1,3,2]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,1,8,4,6,3,7,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[8,4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[8,1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,8,1,5,4,7,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,2,7,6,8,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,7,1,8,5,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,2,6,5,8,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,5,7,2,4,3,8,1]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,8,7,5,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[6,5,8,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,2,4,1,8,5,6,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,6,8,2,4,1,5,3]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[7,6,8,1,5,2,4,3]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[2,1,7,3,8,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,3,2,8,5,6,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,1,8,5,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,1,8,2,6,4,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,2,8,1,5,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,2,7,4,5,3,8,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,4,7,2,6,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,4,8,2,6,1,7,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,5,8,1,7,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,5,7,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,1,7,4,8,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,7,1,8,3,6,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[2,8,3,1,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,5,3,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,4,8,3,5,7,6,1]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[4,2,5,3,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,2,1,8,5,3,6,7]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,1,4,8,3,2,6,7]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,5,8,4,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,7,4,3,8,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,1,4,7,8,3,2,6]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[8,1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,8,4,7,6,5,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,6,8,5,3,7,4,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,8,1,7,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,8,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,8,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,7,5,6,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,7,4,6,3,1,8,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[6,2,4,8,3,7,5,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[7,2,6,3,4,1,8,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,6,7,3,1,4,8,5]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[2,7,1,8,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,1,7,3,5,8,4,6]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[7,8,2,6,3,1,5,4]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,2,8,7,4,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,2,1,8,6,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,8,1,6,4,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,6,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,3,8,6,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[8,7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,7,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,3,5,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[6,3,5,7,2,8,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[8,5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,5,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[3,5,1,4,6,2,8,7]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[8,3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,4,6,3,8,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[2,8,4,6,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,8,5,7,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,5,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,3,4,7,5,8,1,2]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,1,4,6,8,3,7,2]=>[1,4,6,8,2,3,7,5]=>[1,8,2,4,7,6,3,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[4,7,1,3,5,8,6,2]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[4,8,3,7,1,2,6,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,6,4,1,7,2,5]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,8,1,2,5,7,6,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,8,7,5,4,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,8,6,7,4,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,7,6,8,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,3,7,8,2,4,6,1]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[5,3,7,6,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,3,6,2,8,7,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,7,8,6,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[6,1,7,4,5,8,2,3]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,1,8,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,1,6,7,5,8,3,4]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,1,5,7,3,6,8,4]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,3,6,1,2,8,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,4,7,1,6,5,8,3]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,2,1,8,7,5,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,4,6,2,7,8,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,6,1,2,5,8,7,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[5,6,1,4,8,2,7,3]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[5,6,3,1,8,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,5,6,4,7,1,8,2]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[3,4,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,2,7,6,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,2,7,6,5,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,8,2,7,6,5,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,8,7,2,6,5,3,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,8,7,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,7,3,1,6,5,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,7,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,7,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,8,7,3,6,2,5,1]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[4,8,7,3,6,2,1,5]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,7,3,6,1,5,2]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,7,3,6,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,8,7,3,6,5,2,1]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,7,6,3,2,4,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,8,7,6,2,4,3,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,3,4,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,3,5,2,6,4,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[6,3,5,2,7,4,8,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,2,1,5,6,4,3,8]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,4,5,7,3,2,8,6]=>[1,4,5,7,2,8,3,6]=>[1,7,8,4,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,4,5,7,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,4,5,7,1,3,8,2]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,2,1,5,7,4,8,3]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,5,7,4,8,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,4,6,7,3,8,5,2]=>[1,4,6,7,2,3,8,5]=>[1,7,2,4,8,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,5,6,7,8,3,1,4]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,2,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,2,1,6,7,8,4,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,5,6,7,8,3,2,4]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,4,6,7,2,8,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[5,3,6,2,7,8,4,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[5,3,6,2,7,8,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[6,3,5,2,7,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[6,3,4,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,3,4,1,2,7,8,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[4,3,6,2,7,8,5,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,4,6,7,2,8,5,1]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,4,5,7,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,2,1,5,7,3,8,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,2,1,6,7,8,3,5]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,6,1,7,8,2,5]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,5,6,7,8,2,4,3]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,4,6,7,1,8,5,3]=>[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[2,5,6,7,8,1,4,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,4,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]=>[.,[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,4,2,5,3,7,6,9,8]=>[1,4,2,5,3,7,6,9,8]=>[1,4,5,2,3,7,6,9,8]=>[.,[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[1,4,3,7,2,5,6,8]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,3,6,5,8,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,8,1,4,5,3,6,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[3,8,7,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,8,3,1,6,4,7,2]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,1,4,7,6,3,2]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,1,8,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,4,1,8,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[7,1,8,4,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,6,3,8,5,2,4,7]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,1,3,8,5,2,4,7]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[7,1,8,3,6,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,8,3,6,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,8,2,3,6,5,4]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,1,2,8,3,5,4,7]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[1,5,2,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[5,1,2,3,8,4,7,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[6,2,8,1,3,5,4,7]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,2,4,1,8,7,3,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,1,6,4,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,6,3,8,7,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,6,3,8,5,1,4,7]=>[1,4,7,2,6,3,8,5]=>[1,7,6,4,8,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,5,1,8,3,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,5,1,3,8,4,7,6]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[1,2,5,3,8,4,7,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[1,2,4,8,3,7,6,5]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[2,4,8,1,3,7,6,5]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,8,3,7,6,1,5]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[2,5,3,8,1,7,4,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,1,5,4,8,2,7,6]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,1,4,8,2,7,6]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[5,2,3,8,4,7,1,6]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,8,2,3,7,1,6,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,8,1,2,3,7,6,5]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,8,3,7,2,6,5]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,3,8,1,5,2,4,7]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,3,8,1,2,4,7,6]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,1,3,8,2,4,7,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[1,5,3,8,2,4,7,6]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,4,8,2,7,6,3]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,4,8,2,7,6,3]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[5,4,8,1,2,7,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,5,1,2,8,7,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,1,6,2,8,7,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,5,8,2,7,6,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,1,2,5,8,7,6,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,3,5,2,8,7,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,5,1,2,8,7,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,6,2,8,7,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[4,2,6,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,3,1,5,8,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,5,2,8,7,1,4,6]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,4,8,7,1,2,6,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,4,8,1,7,2,6,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,4,8,1,2,7,6,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,4,8,2,7,6,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,1,2,5,8,7,6]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,3,5,1,8,7,6,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[7,8,2,1,5,3,6,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,1,2,7,3,5,8]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[2,3,7,5,4,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,3,1,5,4,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,8,1,5,4,2,6,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,5,4,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,2,5,4,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,5,4,7,3,8]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[5,3,6,1,4,7,8,2]=>[1,4,7,8,2,3,6,5]=>[1,8,2,4,6,3,7,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[5,3,6,2,4,7,1,8]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[3,2,6,7,4,8,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,6,7,4,8,5,2]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,7,6,5,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,6,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,6,5,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[2,7,1,4,8,3,5,6]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[3,7,6,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,7,6,5,2,1,3,8]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[4,7,6,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[4,7,6,5,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,7,6,5,2,8,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,6,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,7,6,5,1,2,8,3]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[4,7,6,5,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,1,3,5,4,8,7,2]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,1,6,2,4,7,8,3]=>[1,6,2,4,7,8,3,5]=>[1,6,8,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,7,2,1,5,3,6,8]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,7,1,6,2,3,8,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,2,6,7,4,8,5,3]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,7,6,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[4,7,1,2,5,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,7,6,5,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,7,6,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,7,6,5,8,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,6,5,8,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,6,5,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,7,6,5,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,6,5,8,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[2,7,6,5,8,4,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[6,3,2,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,1,7,3,5,8,6]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,1,5,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,7,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[6,3,7,4,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,7,2,5,3,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,5,4,3,2,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,1,8,4,3,7]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,6,3,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,7,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,3,6,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,7,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,1,8,5,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,8,1,6,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,6,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,8,6,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,8,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,8,5,7,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,8,5,7,2,4,6,3]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[3,8,6,1,7,2,5,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[5,8,4,6,7,1,3,2]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,2,8,5,6,1,4,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,3,7,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,2,6,8,4,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,6,5,8,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,5,4,8,3,2,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,2,5,8,1,4,3,7]=>[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,3,6,8,2,1,5,7]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,5,1,8,4,2,7]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[5,4,1,6,8,2,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,5,2,1,7,8,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,3,7,4,8,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,7,2,5,8,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[6,3,1,8,4,7,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,4,2,8,7,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[6,5,3,8,7,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[8,5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,4,8,1,7,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,8,1,7,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,4,8,2,1,7,5,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,6,8,1,4,7,5,2]=>[1,4,7,2,3,6,8,5]=>[1,7,2,4,8,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[5,7,3,8,1,6,4,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[6,4,7,8,1,5,3,2]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,3,7,8,5,2,4,1]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[5,3,8,7,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,3,8,7,6,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,4,8,7,6,1,3,5]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,5,8,7,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,7,3,8,6,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[7,5,8,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,3,6,4,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,8,7,6,2,5,3,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,8,7,6,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,7,6,5,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,6,7,8,1,2,3,4,9]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[7,8,5,6,3,4,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[7,6,5,4,3,2,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[8,6,9,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[7,8,9,4,5,6,1,2,3,10]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[8,7,6,5,4,3,2,1,9,10]=>[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[3,7,5,8,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,5,7,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,1,2,6,4,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,1,2,5,4,3,8,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,1,2,6,5,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,1,5,7,8,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,7,1,8,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[7,5,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,1,5,8,7,3,4,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,1,8,4,7,2,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[4,1,8,7,5,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,7,1,6,3,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,1,2,3,5,8,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,1,7,3,4,8,6,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,8,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,7,1,4,3,8,2,5]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[7,1,2,3,6,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,8,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,8,2,7,3,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,2,8,3,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,8,7,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,7,8,1,4,2,6,5]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,6,8,1,4,2,7,5]=>[1,4,2,7,3,6,8,5]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[3,5,7,8,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,6,2,8,3,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[8,6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,3,2,4,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,1,2,3,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,1,2,3,7,8,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,1,2,3,5,8,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[8,6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,6,3,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,6,2,4,3,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,1,2,3,5,7,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[5,1,2,3,6,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[7,8,1,2,6,3,5,4]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,4,8,2,7,3,5,6]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[2,3,6,8,4,7,1,5]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,3,6,8,4,7,5,2]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[3,4,8,5,7,6,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[1,2,6,8,4,5,7,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[7,4,6,1,5,2,3,8]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,4,2,6,3,5,8]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,8,1,4,7,2,3,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,8,1,7,3,5,4,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,3,6,5,4,2,8]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,3,1,6,5,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,1,4,6,3,5,8]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,2,3,6,5,1,4,8]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,1,2,3,6,5,4,8]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,8,1,2,7,3,5,4]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,6,2,3,8,5,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,5,8,2,7,6,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,8,2,7,6,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,8,2,1,7,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,6,4,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[2,1,6,3,8,5,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,5,3,8,7,4,6]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,4,8,7,6,5,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[3,5,8,7,1,4,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,3,8,4,1,7,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,8,7,6,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[4,2,8,7,6,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,8,3,7,6,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,3,8,7,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,3,8,7,6,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,7,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,8,5,1,2,4,7,3]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[5,6,2,4,3,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,1,2,4,3,8,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,5,8,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,5,8,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,3,2,5,8,7,4,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[3,5,1,8,7,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,5,1,8,7,2,6,4]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,3,6,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[4,5,8,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,5,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,5,8,7,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,1,4,8,7,6,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[3,4,8,7,6,5,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,4,8,7,6,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,2,5,8,7,4,6,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,5,8,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,3,5,8,7,4,6]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,2,7,5,8,6,4,3]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,8,1,3,7,5,2,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,7,8,1,2,6,5,4]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,3,7,8,2,6,5,4]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,3,7,8,1,6,5,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,7,8,1,3,6,5,4]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4,8]=>[1,2,7,5,3,6,4,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[8,2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,6,8,3,7,1,5,4]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,8,6,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,8,3,4,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,3,7,4,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,8,3,7,5,1,4]=>[1,4,2,6,8,3,7,5]=>[1,4,8,2,7,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[8,2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[8,5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[8,2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,6,8,3,7,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[8,5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,6,8,2,7,5,3]=>[1,4,6,8,2,7,3,5]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,6,5,8,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,7,3,6,1,2,4]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,6,8,3,7,5,2,4]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[6,3,8,2,7,5,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,8,4,5,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,7,2,3,6,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smalles
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smalles