Identifier
Mp00163:
Signed permutations
—permutation⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00016: Binary trees —left-right symmetry⟶ Binary trees
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00016: Binary trees —left-right symmetry⟶ Binary trees
Images
=>
Cc0010;cc-rep-2Cc0010;cc-rep-3
[1]=>[1]=>[.,.]=>[.,.]
[-1]=>[1]=>[.,.]=>[.,.]
[1,2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[1,-2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[-1,2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[-1,-2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[2,1]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[2,-1]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[-2,1]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[-2,-1]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,2,-3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,-2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,-2,-3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[-1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[-1,2,-3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[-1,-2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[-1,-2,-3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[1,3,-2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[1,-3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[1,-3,-2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[-1,3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[-1,3,-2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[-1,-3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[-1,-3,-2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,1,-3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,-1,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,-1,-3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-2,1,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-2,1,-3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-2,-1,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-2,-1,-3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,3,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[2,3,-1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[2,-3,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[2,-3,-1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[-2,3,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[-2,3,-1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[-2,-3,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[-2,-3,-1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[3,1,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,1,-2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,-1,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,-1,-2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-3,1,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-3,1,-2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-3,-1,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[-3,-1,-2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,2,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[3,2,-1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[3,-2,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[3,-2,-1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[-3,2,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[-3,2,-1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[-3,-2,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[-3,-2,-1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,-2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,-2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,-2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,-2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,-2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,-2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,-2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[-1,-2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,-2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,-2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,-2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,-2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,-2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,-2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,-2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[-1,-2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,-3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,-3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,-3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,-3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,-3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,-3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,-3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[-1,-3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,-4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[-1,-4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,-4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,-4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,-4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,-4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,-4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,-4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,-4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[-1,-4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,-1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,-1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,-1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,-1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,-1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,-1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,-1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[-2,-1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,-1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,-1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,-1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,-1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,-1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,-1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,-1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[-2,-1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,-3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,-3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,-3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,-3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[-2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[-2,3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[-2,3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[-2,3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[-2,-3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[-2,-3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
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[-3,-2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
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[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
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[3,2,5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,-5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,-5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,-5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,-5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,-5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,-5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,-5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,-5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
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[3,4,-1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
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[3,4,-1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,-4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,-4,1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,-4,1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
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[3,4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
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[3,4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,4,-2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,-2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,-2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,-4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[-3,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[-3,4,2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
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[-3,4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[-3,4,-2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[-3,4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
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[-3,4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
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[6,2,4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,6,7,4,2,3,5]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[3,1,7,2,4,5,6]=>[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,7,1,2,5,6]=>[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,7,5,6,1,2]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,6,1,2,7,4,5]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,7,4,1,2,5,6]=>[3,7,4,1,2,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,7,4,5,1,2,6]=>[3,7,4,5,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,7,4,5,6,1,2]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,4,6,1,2,5]=>[3,7,4,6,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,7,5,1,2,4,6]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,7,5,6,1,2,4]=>[3,7,5,6,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,7,6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,7,5,6,1,2,3]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,3,4,7,1,2,6]=>[5,3,4,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,3,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,2,5,3,4,6]=>[7,1,2,5,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,1,3,2,4,5,6]=>[7,1,3,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,4,2,3,5,6]=>[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,4,5,2,3,6]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,4,6,2,3,5]=>[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,5,2,3,4,6]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,5,6,2,3,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,6,4,5,2,3]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,2,5,1,3,4,6]=>[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,2,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,3,1,2,4,5,6]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,3,5,6,1,2,4]=>[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,3,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,5,1,4,2,3,6]=>[7,5,1,4,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,8,3,4,1,2]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,6,7,8,3,1,2,4]=>[5,6,7,8,3,1,2,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,6,7,8,4,1,2,3]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,6,7,8,1,4,2,3]=>[5,6,7,8,1,4,2,3]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[-6,-4,-2,1,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,6,-3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[-3,2,-6,-4,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,-5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[-5,-3,2,4,-6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,5,2,3,-6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[2,-6,-4,-5,1,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[-6,-5,1,-4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[-5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[2,6,-5,1,3,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[-5,4,-6,-2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,-5,-6,-3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[3,6,5,-4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,.]]],.]]
[4,6,-5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[-4,3,-5,2,-6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[-8,-6,-4,-2,1,3,5,7]=>[8,6,4,2,1,3,5,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[-3,2,-8,-6,-4,1,5,7]=>[3,2,8,6,4,1,5,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[3,2,8,-6,-5,1,4,7]=>[3,2,8,6,5,1,4,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[-7,-5,-3,2,4,6,-8,1]=>[7,5,3,2,4,6,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,7,-4,2,3,6,-8,1]=>[5,7,4,2,3,6,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[-4,5,2,3,8,-7,1,6]=>[4,5,2,3,8,7,1,6]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,5,2,3,-8,-6,1,7]=>[4,5,2,3,8,6,1,7]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,-8,-4,-6,-5,1,3,7]=>[2,8,4,6,5,1,3,7]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[-3,6,8,-5,1,2,4,7]=>[3,6,8,5,1,2,4,7]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[2,8,-6,-5,1,3,4,7]=>[2,8,6,5,1,3,4,7]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[-5,4,-8,-6,-2,1,3,7]=>[5,4,8,6,2,1,3,7]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[-6,4,3,8,-5,1,2,7]=>[6,4,3,8,5,1,2,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[-4,3,-5,2,-8,-6,1,7]=>[4,3,5,2,8,6,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,-5,2,8,-7,1,6]=>[4,3,5,2,8,7,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,-4,-8,-6,2,-7,1,5]=>[3,4,8,6,2,7,1,5]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[8,4,-7,-6,3,1,2,5]=>[8,4,7,6,3,1,2,5]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[-5,4,-7,3,8,1,2,6]=>[5,4,7,3,8,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,-3,4,8,-7,1,2,6]=>[5,3,4,8,7,1,2,6]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[-5,2,4,8,-7,1,3,6]=>[5,2,4,8,7,1,3,6]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[-7,-5,4,6,-8,-2,1,3]=>[7,5,4,6,8,2,1,3]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,-7,-5,6,-8,-3,1,2]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[-7,3,-5,6,-8,-4,1,2]=>[7,3,5,6,8,4,1,2]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[-4,3,6,-7,-8,-5,1,2]=>[4,3,6,7,8,5,1,2]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[-4,3,5,8,7,-6,1,2]=>[4,3,5,8,7,6,1,2]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,-8,6,-7,3,5,1,2]=>[4,8,6,7,3,5,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[-6,-4,3,5,-7,2,-8,1]=>[6,4,3,5,7,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,3,4,-7,2,-8,1]=>[5,6,3,4,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[3,-8,5,7,4,-6,1,2]=>[3,8,5,7,4,6,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[-7,-6,3,-8,4,-5,1,2]=>[7,6,3,8,4,5,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[-7,-6,5,3,-8,-4,1,2]=>[7,6,5,3,8,4,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,-6,2,4,-7,1,3,5]=>[8,6,2,4,7,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[-4,3,-8,-6,-7,1,2,5]=>[4,3,8,6,7,1,2,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[-7,6,8,1,3,-5,2,4]=>[7,6,8,1,3,5,2,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[-7,-6,5,8,3,1,2,4]=>[7,6,5,8,3,1,2,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,-6,3,8,2,-7,1,4]=>[5,6,3,8,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[-5,2,6,8,3,-7,1,4]=>[5,2,6,8,3,7,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,6,7,1,8,2,3,4]=>[5,6,7,1,8,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[-4,-8,-7,1,-6,2,3,5]=>[4,8,7,1,6,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[8,-7,-6,3,1,2,4,5]=>[8,7,6,3,1,2,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,-7,8,-6,1,3,4,5]=>[2,7,8,6,1,3,4,5]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[-5,2,8,-7,1,3,4,6]=>[5,2,8,7,1,3,4,6]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[-7,-5,3,8,1,2,4,6]=>[7,5,3,8,1,2,4,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,-7,-4,8,1,2,3,6]=>[5,7,4,8,1,2,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[-4,-8,-7,2,-5,1,3,6]=>[4,8,7,2,5,1,3,6]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[4,2,-7,8,-6,1,3,5]=>[4,2,7,8,6,1,3,5]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[-8,-4,-6,2,3,-7,1,5]=>[8,4,6,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[-6,4,7,2,3,5,-8,1]=>[6,4,7,2,3,5,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
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[5,2,3,-4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-2,-5,4,-3,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,3,4,-2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[2,-4,5,-3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
[2,3,5,-4,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],.],.]]
[-2,4,5,-3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
[3,4,5,-2,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[-4,-5,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,-4,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[-4,-5,-2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[-5,-4,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[-2,-5,-3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[2,-5,3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[5,-2,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[-2,-3,-4,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[2,-4,-3,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[2,3,-4,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[-2,4,-3,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[3,4,-2,1,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
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[3,5,6,-4,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
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[-4,3,-5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
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[-4,3,6,-5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[-6,-4,3,-5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,-5,3,-6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,-6,-2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
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[4,-6,-5,-2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,-5,-2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[5,-6,-3,-2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
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[4,6,-5,-3,-2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
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[3,-4,-2,1,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[3,-6,-4,-2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,-5,-4,-2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
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[3,5,-6,-4,-2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,5,-4,-2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
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[3,5,6,-4,-2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]=>[.,[.,[[.,[[.,.],.]],.]]]
[-6,3,5,-4,-2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
[-4,3,-5,-2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[-4,3,6,-5,-2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
[-6,-4,3,-5,-2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[4,-5,3,-6,-2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[2,-6,-3,1,4,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[2,-5,-3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,-6,-3,1,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
[2,-6,-4,-3,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,.]]],.]]
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[2,4,-6,-5,-3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,4,6,-5,-3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]=>[.,[[.,[[.,[.,.]],.]],.]]
[-5,2,4,-6,-3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,4,-3,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
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[2,4,5,-3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
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[2,4,5,6,-3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]=>[.,[[.,[[[.,.],.],.]],.]]
[-6,2,4,5,-3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
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[-4,2,6,-5,-3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,-4,2,-6,-5,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
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[3,-6,-4,2,-5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,-4,2,-5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
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[4,-6,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
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[4,1,-6,-5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[-4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[3,-6,5,1,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
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[3,-6,4,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
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[1,7,-6,-5,2,3,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[-7,1,-4,2,3,5,6]=>[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[-6,7,-4,1,2,3,5]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,2,-7,3,4,5]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[-5,1,7,-6,2,3,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,-7,-4,2,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[-7,-4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,-7,-6,-5,-4,2,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[-3,7,-6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,7,-5,-3,1,2,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[-4,1,7,-6,2,3,5]=>[4,1,7,6,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,2,-7,3,4,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,-6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,-5,-7,-6,2,3,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[-5,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[-7,-4,-6,-5,1,2,3]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[-7,4,-3,1,2,5,6]=>[7,4,3,1,2,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[-4,-7,-6,-3,1,2,5]=>[4,7,6,3,1,2,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,-7,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[-6,5,7,-3,1,2,4]=>[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,-7,1,4,2,3,5]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,1,-7,2,3,4]=>[6,5,1,7,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,-4,7,-6,1,2,3]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[-5,-7,-4,-3,1,2,6]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,4,-7,-3,1,2,5]=>[6,4,7,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,-6,-5,-4,-3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[-2,1,-7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[-2,7,-6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[-7,2,-5,1,3,4,6]=>[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[-2,-7,-6,-5,1,3,4]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[-4,2,-7,1,3,5,6]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,7,-6,-4,1,3,5]=>[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[-2,-6,-7,1,3,4,5]=>[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,2,-7,-6,1,3,4]=>[5,2,7,6,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,-7,-4,1,3,6]=>[2,5,7,4,1,3,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[-7,2,6,-4,1,3,5]=>[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,-5,2,-7,1,3,4]=>[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,-7,-6,-5,-4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[3,1,-7,-6,2,4,5]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[-7,-3,-6,-5,1,2,4]=>[7,3,6,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,-7,4,2,3,5,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,-4,-7,-6,2,3,5]=>[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,-7,5,2,3,4,6]=>[1,7,5,2,3,4,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,6,2,-7,3,4,5]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,7,-5,2,3,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,-5,7,1,2,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[-4,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[7,-5,1,6,2,3,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,-7,-6,-5,2,3]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[-7,-4,3,1,2,5,6]=>[7,4,3,1,2,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[-3,6,7,-4,1,2,5]=>[3,6,7,4,1,2,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,6,1,-7,2,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,-3,7,-6,1,2,4]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[-4,7,5,1,2,3,6]=>[4,7,5,1,2,3,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[-4,6,1,-7,2,3,5]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,1,-6,2,3,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,-5,-4,-6,1,2,3]=>[7,5,4,6,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[-5,-3,-7,-4,1,2,6]=>[5,3,7,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[-7,-4,3,6,1,2,5]=>[7,4,3,6,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,-7,6,1,2,3]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[-3,7,-6,-5,-4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[-2,3,-7,1,4,5,6]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,-7,-6,1,4,5]=>[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,7,-5,-2,1,4,6]=>[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[-6,2,3,-7,1,4,5]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,-7,-6,-5,-2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,2,-7,-6,1,3,5]=>[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[-2,-5,-7,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,-6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,-5,-7,-6,1,3,4]=>[2,5,7,6,1,3,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[-4,2,7,-5,1,3,6]=>[4,2,7,5,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,-4,2,-7,1,3,5]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,2,-7,1,3,4]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[-4,2,-7,-6,-5,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,-3,7,-6,1,2,5]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,1,-7,2,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[-6,7,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[-3,-5,7,-6,1,2,4]=>[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,1,-7,2,3,6]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,1,-6,2,3,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[-7,1,-6,5,2,3,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[-5,4,1,-7,-6,2,3]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[-7,5,3,6,1,2,4]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[-5,4,7,6,1,2,3]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[-4,-3,7,-6,-5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,4,-7,-2,1,5,6]=>[3,4,7,2,1,5,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,-7,-6,-3,-2,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[-5,2,3,-7,1,4,6]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,-7,1,4,5]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[-5,3,-7,-6,-2,1,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,-4,2,-7,1,3,6]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[-4,-6,2,-7,1,3,5]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[-5,2,-6,-7,1,3,4]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[-5,-4,2,-7,-6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,-7,4,1,2,5]=>[3,6,7,4,1,2,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,5,-7,3,1,2,4]=>[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,5,1,-7,2,3]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[-5,-4,-3,7,-6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,-7,-4,-3,-2,1,6]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[-6,4,-7,-3,-2,1,5]=>[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[-6,-5,3,-7,-2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[-6,-5,-4,2,-7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[-7,-6,-5,-4,-3,-2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[-2,1,-4,3,-6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[-2,4,1,3,-6,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[-2,1,-4,6,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[-2,6,1,-4,3,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[-2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[-2,1,-4,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[-2,4,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[-2,1,5,-4,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-2,1,-4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[-2,4,5,1,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[-2,1,5,6,-4,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,-2,1,6,-4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,6,-2,1,-4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[-2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],.],.]]
[-2,1,-6,3,-5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
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[-2,4,-3,6,-5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]=>[.,[[[.,[.,.]],[.,.]],.]]
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[2,3,-4,1,-6,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,-4,-6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]=>[.,[[[[.,.],[.,.]],.],.]]
[5,3,4,-2,-6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
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[2,-4,3,5,-6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]=>[.,[[[[.,.],.],[.,.]],.]]
[4,5,3,-2,-6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
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[6,-2,-4,1,-5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,6,-3,1,-5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,-2,-6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
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[1,2,7,3,4,-6,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[1,2,7,3,-5,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,2,3,-7,6,4,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,6,2,3,7,-5,4]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[1,2,7,-4,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,2,-4,3,-6,5]=>[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
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[1,7,2,-5,3,-6,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,1,2,-4,7,3,6]=>[5,1,2,4,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[[.,.],[[.,.],.]],.],[.,.]]
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[1,-3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[[.,.],.]],.]
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[-6,1,-3,2,7,-5,4]=>[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,-7,4,2,3,-6,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[1,-5,7,2,3,-6,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,7,-4,2,-5,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,-7,2,3,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,-4,2,7,-5,3]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[-4,1,-3,2,7,5,6]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[-4,1,7,-3,2,-6,5]=>[4,1,7,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,-7,1,-3,2,4,6]=>[5,7,1,3,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,-7,6,-3,2,4,5]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[-7,1,-3,-5,2,-6,4]=>[7,1,3,5,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[-6,-7,1,2,5,3,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,7,-4,2,-6,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[-4,1,5,-3,7,2,6]=>[4,1,5,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[-4,1,-3,-7,6,2,5]=>[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,-3,-7,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[-4,1,7,5,6,2,3]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[-4,1,5,6,7,-3,2]=>[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[-2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[-2,1,7,3,4,-6,5]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[-2,1,7,3,-5,4,6]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[-2,1,3,-7,6,4,5]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[-2,6,1,3,7,-5,4]=>[2,6,1,3,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[-2,1,7,-4,3,5,6]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,-2,1,-4,3,-6,5]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[-2,-7,1,5,3,4,6]=>[2,7,1,5,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[-2,-7,1,3,6,4,5]=>[2,7,1,3,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[-2,7,1,-5,3,-6,4]=>[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,-2,1,-4,7,3,6]=>[5,2,1,4,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[-2,6,1,-7,-4,3,5]=>[2,6,1,7,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[-2,-7,1,5,6,3,4]=>[2,7,1,5,6,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,-2,1,6,7,-4,3]=>[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,1,2,4,-6,5]=>[7,3,1,2,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,3,1,2,-5,4,6]=>[7,3,1,2,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[-6,3,1,2,7,-5,4]=>[6,3,1,2,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,1,4,2,3,-6,5]=>[7,1,4,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,6,7,2,3,-5,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[-4,1,7,2,-5,3,6]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,-7,2,3,5]=>[4,1,6,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,2,-5,6,3,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[-4,6,1,2,7,-5,3]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[-3,7,1,-4,2,5,6]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[-7,-3,1,-4,2,-6,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,5,1,-3,2,4,6]=>[7,5,1,3,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,6,-3,2,4,5]=>[7,1,6,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[-7,-5,1,-3,2,-6,4]=>[7,5,1,3,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,5,-4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,-4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[-6,1,7,2,5,3,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[-7,-5,1,-6,2,-4,3]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[-5,-3,1,-4,7,2,6]=>[5,3,1,4,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,-3,1,-7,-4,2,5]=>[6,3,1,7,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,5,1,-3,6,2,4]=>[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,5,-4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[-5,-3,1,6,7,-4,2]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,-2,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,-2,7,1,4,-6,5]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,-2,7,1,-5,4,6]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,-2,1,-7,6,4,5]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,-2,1,7,-5,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,-2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[-2,-7,4,1,3,-6,5]=>[2,7,4,1,3,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,-2,1,5,3,4,6]=>[7,2,1,5,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[-2,1,3,6,7,4,5]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[-2,-5,7,1,3,-6,4]=>[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[-2,7,-4,1,-5,3,6]=>[2,7,4,1,5,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[-4,6,-2,-7,1,3,5]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,-2,-7,1,3,4]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,-2,-4,1,7,-5,3]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,4,1,2,-6,5]=>[7,3,4,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,3,7,1,2,-6,4]=>[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[-4,-5,7,1,2,-6,3]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,-3,7,1,-5,2,6]=>[4,3,7,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,-3,1,-7,6,2,5]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[-3,5,1,-7,6,2,4]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[-4,-7,6,-5,1,2,3]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,6,-3,1,7,-5,2]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,-2,1,7,5,6]=>[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,7,-2,1,-6,5]=>[3,4,7,2,1,6,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,-7,-2,5,1,4,6]=>[3,7,2,5,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,-7,-2,1,6,4,5]=>[3,7,2,1,6,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,7,-2,-5,1,-6,4]=>[3,7,2,5,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,-2,4,5,1,3,6]=>[7,2,4,5,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,-2,4,1,6,3,5]=>[7,2,4,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[-6,-7,-2,1,5,3,4]=>[6,7,2,1,5,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[-2,5,7,-4,1,-6,3]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,-7,6,1,5,2,4]=>[3,7,6,1,5,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,5,7,-6,1,-3,2]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,4,5,-2,7,1,6]=>[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,-2,-7,6,1,5]=>[3,4,2,7,6,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,-7,-2,5,6,1,4]=>[3,7,2,5,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[-7,2,4,5,6,1,3]=>[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,5,6,7,-2,1]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[3,5,-4,2,-6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,4,-5,2,-6,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,-6,-3,2,-5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[3,-5,-4,2,-6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[-5,-4,-3,2,-6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[-4,-3,2,6,-5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[-5,4,2,3,-6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,6,2,3,-5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[6,-4,2,3,-5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[-3,-5,2,4,-6,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[3,-6,2,4,-5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[3,-4,2,5,-6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[-4,-3,2,5,-6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[-4,-3,2,-6,-5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,-5,3,4,-6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]=>[.,[[[[.,.],.],[.,.]],.]]
[6,2,3,4,-5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,-6,-5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[-6,2,3,-5,-4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[-3,2,4,5,-6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[-3,2,4,-6,-5,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,3,4,-6,-5,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]=>[.,[[[[.,[.,.]],.],.],.]]
[2,3,-6,-5,-4,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]=>[.,[[[.,[.,[.,.]]],.],.]]
[-5,-4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[-6,4,2,-5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,-4,-6,1,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[-3,-6,2,-5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,-3,2,-6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[-4,-3,2,-5,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,3,-6,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[2,-6,3,-5,1,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[2,-4,3,-6,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[4,2,3,-5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-5,2,3,-4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,-6,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-3,2,4,-5,1,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-2,3,4,-6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,-5,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,-5,-4,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],.],.]]
[-4,-6,1,-5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[-5,-4,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,-5,2,1,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,2,-4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[-3,-2,-6,1,4,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[-2,3,-5,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,-6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,-6,-3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,-5,1,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,-6,-5,1,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],.],.]]
[3,4,5,-6,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],.],.]]
[-5,3,4,-6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-4,3,5,-6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-5,-4,3,-6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,5,-6,-2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,-6,-3,-2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[3,4,-5,-2,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,-6,-5,-2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,4,5,-6,-2,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]=>[.,[.,[[[[.,.],.],.],.]]]
[-5,3,4,-6,-2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
[-4,3,5,-6,-2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
[-5,-4,3,-6,-2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,4,5,-6,-3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]=>[.,[[.,[[[.,.],.],.]],.]]
[2,3,-6,-4,1,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,5,-6,-4,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]=>[.,[[[.,[[.,.],.]],.],.]]
[-5,2,3,4,-6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[-4,2,3,-6,-5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[-4,2,3,5,-6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[-5,-4,2,3,-6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,-5,2,3,-6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,-5,-3,2,-6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[2,-4,-3,1,-6,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[-5,2,-3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[2,-6,4,-3,-5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]=>[.,[[[.,.],[.,[.,.]]],.]]
[-2,1,4,-6,-5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,-6,1,-3,-5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,3,1,-4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[-2,1,-4,3,-6,5,-8,7]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,1,2,-6,5,-8,7]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,-4,-3,1,-6,5,-8,7]=>[2,4,3,1,6,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[-5,2,-3,6,1,4,-8,7]=>[5,2,3,6,1,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,-6,4,-3,-5,1,-8,7]=>[2,6,4,3,5,1,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[-7,2,4,-3,-5,8,1,6]=>[7,2,4,3,5,8,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,-8,4,-3,6,-5,-7,1]=>[2,8,4,3,6,5,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,2,7,3,-4,8,1,6]=>[5,2,7,3,4,8,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,-5,-4,6,1,3,-8,7]=>[2,5,4,6,1,3,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[5,6,1,-3,2,4,-8,7]=>[5,6,1,3,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[-2,-5,1,6,3,4,-8,7]=>[2,5,1,6,3,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
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[5,6,3,1,-4,2,-8,7]=>[5,6,3,1,4,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[5,6,-4,3,1,2,-8,7]=>[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,2,-6,-5,-4,1,-8,7]=>[3,2,6,5,4,1,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,-7,2,-5,-4,8,1,6]=>[3,7,2,5,4,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,2,-8,-5,6,-4,-7,1]=>[3,2,8,5,6,4,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[-7,3,8,-5,1,-4,2,6]=>[7,3,8,5,1,4,2,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,3,7,1,-4,8,2,6]=>[5,3,7,1,4,8,2,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[-2,1,-7,4,-5,8,3,6]=>[2,1,7,4,5,8,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[-2,1,4,-8,6,-5,-7,3]=>[2,1,4,8,6,5,7,3]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[4,-8,1,-3,6,-5,-7,2]=>[4,8,1,3,6,5,7,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[5,8,3,1,6,-4,-7,2]=>[5,8,3,1,6,4,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[3,6,-8,-5,1,-4,-7,2]=>[3,6,8,5,1,4,7,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[7,-3,8,-6,5,1,-4,2]=>[7,3,8,6,5,1,4,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,8,-4,3,-6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,-8,2,-7,-4,-6,1]=>[3,5,8,2,7,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,8,-3,-6,4,1,-5,2]=>[7,8,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,6,7,8,3,4,-5,2]=>[1,6,7,8,3,4,5,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[7,8,3,1,-6,5,-4,2]=>[7,8,3,1,6,5,4,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,8,1,4,-6,-3,2,5]=>[7,8,1,4,6,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[3,-7,8,-6,1,-4,2,5]=>[3,7,8,6,1,4,2,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[3,6,7,8,-5,1,2,4]=>[3,6,7,8,5,1,2,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[3,8,-7,-6,-5,2,1,4]=>[3,8,7,6,5,2,1,4]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[7,8,-3,-6,2,4,-5,1]=>[7,8,3,6,2,4,5,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,6,7,8,3,4,-2,1]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[2,6,7,8,-5,3,1,4]=>[2,6,7,8,5,3,1,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]
[-4,6,7,8,1,2,3,5]=>[4,6,7,8,1,2,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,7,-3,2,8,4,5]=>[1,6,7,3,2,8,4,5]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[-6,-2,1,3,7,8,4,5]=>[6,2,1,3,7,8,4,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[-2,-7,1,8,3,-5,4,6]=>[2,7,1,8,3,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[7,8,1,-3,2,-5,4,6]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,1,7,8,2,-4,3,6]=>[5,1,7,8,2,4,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,-7,8,-5,1,-4,3,6]=>[2,7,8,5,1,4,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[-7,2,-3,8,4,5,-6,1]=>[7,2,3,8,4,5,6,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[-7,2,4,8,-6,-3,1,5]=>[7,2,4,8,6,3,1,5]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[6,2,-3,1,7,8,4,5]=>[6,2,3,1,7,8,4,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,-4,-3,-7,1,8,5,6]=>[2,4,3,7,1,8,5,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[-2,1,-4,3,6,-8,-7,5]=>[2,1,4,3,6,8,7,5]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[3,4,1,2,6,-8,-7,5]=>[3,4,1,2,6,8,7,5]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[2,-4,-3,1,6,-8,-7,5]=>[2,4,3,1,6,8,7,5]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[2,-8,6,-3,1,-5,-7,4]=>[2,8,6,3,1,5,7,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[-7,2,-3,8,5,1,-6,4]=>[7,2,3,8,5,1,6,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,-8,5,4,-3,-7,-6,1]=>[2,8,5,4,3,7,6,1]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,2,-8,3,-7,-4,-6,1]=>[5,2,8,3,7,4,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,-7,-4,8,-6,5,1,3]=>[2,7,4,8,6,5,1,3]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[6,2,-8,-5,1,-4,-7,3]=>[6,2,8,5,1,4,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[5,8,6,1,2,-4,-7,3]=>[5,8,6,1,2,4,7,3]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[6,-8,1,-3,2,-5,-7,4]=>[6,8,1,3,2,5,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[-2,1,6,-8,3,-5,-7,4]=>[2,1,6,8,3,5,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[7,8,1,-3,5,2,-6,4]=>[7,8,1,3,5,2,6,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[7,8,5,1,-6,2,-4,3]=>[7,8,5,1,6,2,4,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[1,6,7,8,4,2,-5,3]=>[1,6,7,8,4,2,5,3]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[2,8,-7,-6,-5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[7,8,5,-4,-6,1,2,3]=>[7,8,5,4,6,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[7,8,1,-3,-6,5,2,4]=>[7,8,1,3,6,5,2,4]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[-2,-7,1,8,-6,5,3,4]=>[2,7,1,8,6,5,3,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[-2,1,5,4,-8,-7,-6,3]=>[2,1,5,4,8,7,6,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[7,8,4,-6,-5,3,1,2]=>[7,8,4,6,5,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,2,-8,-7,-6,-5,1]=>[4,3,2,8,7,6,5,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,-3,-5,-4,-6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]=>[.,[[[[.,.],[.,.]],.],.]]
[2,-4,-3,-5,-6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]=>[.,[[[[.,.],.],[.,.]],.]]
[4,2,-6,-3,-5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[-5,2,-3,-4,-6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,-4,-3,-6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,-4,2,-3,-5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,-2,-6,-5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,-2,-4,-6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,-2,3,-4,-5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[5,6,3,-2,-4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[-2,6,4,-3,-5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]=>[.,[[[.,.],[.,[.,.]]],.]]
[3,6,4,-2,-5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[2,-4,5,-3,-6,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]=>[.,[[[.,.],[[.,.],.]],.]]
[2,-4,-3,6,-5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,3,-2,6,-4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,3,-4,-6,-5,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]=>[[.,[[[.,[.,.]],.],.]],.]
[1,3,-5,-4,-6,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]=>[[.,[[[.,.],[.,.]],.]],.]
[1,-6,3,-4,-5,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>[[.,[[[.,.],.],[.,.]]],.]
[1,6,3,-5,-4,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,4,-3,-5,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,3,-5,6,-4,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]=>[[.,[[.,[[.,.],.]],.]],.]
[1,2,4,-6,-5,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]=>[[[.,[[.,[.,.]],.]],.],.]
[2,-4,-3,-5,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[5,3,-2,-4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,3,-5,-4,2,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[[.,.],[[.,[.,.]],.]],.]
[-2,-5,-3,6,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[-5,4,1,-3,-6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,-4,3,1,-6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[-2,-3,-4,1,-6,5,-8,7]=>[2,3,4,1,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[-2,-5,4,-3,-6,1,-8,7]=>[2,5,4,3,6,1,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[-2,-5,4,-7,-3,8,1,6]=>[2,5,4,7,3,8,1,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[-2,-5,-3,4,6,-7,-8,1]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[4,5,2,-7,3,8,1,6]=>[4,5,2,7,3,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[-2,1,-4,-5,-6,3,-8,7]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[-5,4,1,-3,-6,2,-8,7]=>[5,4,1,3,6,2,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[5,-4,3,1,-6,2,-8,7]=>[5,4,3,1,6,2,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,-6,-5,3,1,2,-8,7]=>[4,6,5,3,1,2,8,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[-2,-3,-4,-5,-6,1,-8,7]=>[2,3,4,5,6,1,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[-2,-3,-4,-7,-5,8,1,6]=>[2,3,4,7,5,8,1,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]
[-2,-3,-4,-7,6,-5,-8,1]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]
[-7,-6,4,3,1,8,2,5]=>[7,6,4,3,1,8,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[-3,8,-7,-4,1,-5,2,6]=>[3,8,7,4,1,5,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[5,-4,3,-7,1,8,2,6]=>[5,4,3,7,1,8,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[-2,1,-4,-7,6,-5,-8,3]=>[2,1,4,7,6,5,8,3]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[-5,4,-3,1,6,-7,-8,2]=>[5,4,3,1,6,7,8,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[-4,5,3,1,6,-7,-8,2]=>[4,5,3,1,6,7,8,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[-3,-4,-8,7,5,1,-6,2]=>[3,4,8,7,5,1,6,2]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[-6,-8,4,3,-7,5,1,2]=>[6,8,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[-5,-3,-6,2,-7,-4,-8,1]=>[5,3,6,2,7,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,6,7,3,4,-8,2]=>[5,1,6,7,3,4,8,2]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[6,1,8,4,-7,-3,2,5]=>[6,1,8,4,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[-8,-6,3,1,-7,-4,2,5]=>[8,6,3,1,7,4,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[5,6,3,8,-7,1,2,4]=>[5,6,3,8,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[7,-6,5,8,3,1,2,4]=>[7,6,5,8,3,1,2,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[-7,3,-5,-8,2,4,-6,1]=>[7,3,5,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,8,6,7,3,4,-2,1]=>[5,8,6,7,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[2,-5,-6,7,1,8,3,4]=>[2,5,6,7,1,8,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[8,-7,2,-4,1,-5,3,6]=>[8,7,2,4,1,5,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[-4,-6,7,2,1,8,3,5]=>[4,6,7,2,1,8,3,5]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[2,-6,8,3,-7,-4,1,5]=>[2,6,8,3,7,4,1,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[-6,2,7,-4,3,5,-8,1]=>[6,2,7,4,3,5,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[-6,2,-3,7,4,5,-8,1]=>[6,2,3,7,4,5,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[-6,-2,-3,1,7,8,4,5]=>[6,2,3,1,7,8,4,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[-2,-3,-4,-7,1,8,5,6]=>[2,3,4,7,1,8,5,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[-2,1,-4,3,-6,-7,-8,5]=>[2,1,4,3,6,7,8,5]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[3,4,1,2,-6,-7,-8,5]=>[3,4,1,2,6,7,8,5]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[-2,-3,-4,1,-6,-7,-8,5]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[-2,-3,-7,6,1,-5,-8,4]=>[2,3,7,6,1,5,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[-2,-7,-3,-6,5,1,-8,4]=>[2,7,3,6,5,1,8,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[-2,-6,-3,-8,-7,5,1,4]=>[2,6,3,8,7,5,1,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[-6,5,2,3,-4,-7,-8,1]=>[6,5,2,3,4,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[-8,6,-4,2,-7,5,1,3]=>[8,6,4,2,7,5,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[7,-8,-4,2,5,1,-6,3]=>[7,8,4,2,5,1,6,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[-2,-7,1,-6,5,3,-8,4]=>[2,7,1,6,5,3,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,5,1,-6,-3,2,-8,4]=>[7,5,1,6,3,2,8,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[8,7,1,5,-6,2,-4,3]=>[8,7,1,5,6,2,4,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[6,4,-5,2,3,-7,-8,1]=>[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,4,-7,-6,2,3,-8,1]=>[5,4,7,6,2,3,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,8,-6,5,1,4,2,3]=>[7,8,6,5,1,4,2,3]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[8,1,6,-4,-7,5,2,3]=>[8,1,6,4,7,5,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[-2,-6,1,-8,-7,5,3,4]=>[2,6,1,8,7,5,3,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[-2,1,-4,-5,-6,-7,-8,3]=>[2,1,4,5,6,7,8,3]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[-5,4,1,-3,-6,-7,-8,2]=>[5,4,1,3,6,7,8,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[4,-6,-5,3,1,-7,-8,2]=>[4,6,5,3,1,7,8,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,-5,-7,-6,3,1,-8,2]=>[4,5,7,6,3,1,8,2]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[-2,-3,-4,-5,-6,-7,-8,1]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[-2,-3,5,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[-4,-2,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[-5,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[-2,-3,1,6,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[-4,-2,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[-4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,-2,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,-3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,-4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[-4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[2,-5,6,4,1,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
[-2,-3,-4,6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[.,.],[[[[.,.],.],.],.]]
[-4,-5,-2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[-6,-2,-3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[-6,-4,-2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,-6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
Map
permutation
Description
The permutation obtained by forgetting the colours.
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.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of a binary tree.
searching the database
Sorry, this map was not found in the database.