Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ 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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[1,4,2,3,6,5]=>[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]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[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]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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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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[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
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[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
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[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
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[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]=>[.,[[[.,.],.],[.,[.,.]]]]
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[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]=>[.,[[[.,.],.],[.,[.,.]]]]
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[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]=>[.,[[.,.],[.,[[.,.],.]]]]
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[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]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[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]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[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]=>[.,[[[.,[.,.]],.],[.,.]]]
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[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]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
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[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
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[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
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[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
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[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]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
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[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
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[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]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
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[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]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[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]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
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[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]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
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[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
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[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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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[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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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[2,3,4,6,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,4,6,5,1,7]=>[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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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[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
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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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[2,3,6,7,1,4,5]=>[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]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
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[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
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[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
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[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]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[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]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[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]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[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]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[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]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[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]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
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[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
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[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]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
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[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]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
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[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
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[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
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[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
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[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
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[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
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[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,2,8,1]=>[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]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,6,4,2,1,3,7,8]=>[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]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[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]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,4,5,3,6,7,8,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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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[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
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[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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[3,2,1,5,6,8,7,4]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[3,2,1,7,6,5,8,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
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[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
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[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
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[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
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[2,4,3,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
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[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
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[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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[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
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[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]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,5,7,8,1,2,3,6]=>[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]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,5,7,1,2,3,4,6]=>[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]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,6,5,1,3,7,8,4]=>[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]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,6,4,5,1,2,8,3]=>[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]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,2,7,1,8,4,6]=>[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]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[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]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,5,1,3,6,4,7]=>[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]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,2,8,4,6,3]=>[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]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,3,7,6,2,1,8,5]=>[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]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[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]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,6,3,1,5]=>[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]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,5,6,1,3,4,2]=>[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]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,6,7,2,1,8,4]=>[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]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[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]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[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]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,8,6,3,7,5,4]=>[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]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[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]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[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]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[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]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[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]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[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]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,7,2,6,1,5,3]=>[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]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[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]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[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]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[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]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[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]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[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]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,6,4,1,5,8,7]=>[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]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[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]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[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]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,4,8,6,3,5,7]=>[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]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[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]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[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]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[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]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,3,6,2,7,8,1,4]=>[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]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[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]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[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]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,1,2,3,6,5,4,8]=>[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]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,5,8,3,1,7,2,6]=>[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 smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
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 smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.