Identifier
Mp00161:
Signed permutations
—reverse⟶
Signed permutations
Mp00163: Signed permutations —permutation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00163: Signed permutations —permutation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[-1]=>[-1]=>[1]=>[.,.]
[1,2]=>[2,1]=>[2,1]=>[[.,.],.]
[1,-2]=>[-2,1]=>[2,1]=>[[.,.],.]
[-1,2]=>[2,-1]=>[2,1]=>[[.,.],.]
[-1,-2]=>[-2,-1]=>[2,1]=>[[.,.],.]
[2,1]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,-1]=>[-1,2]=>[1,2]=>[.,[.,.]]
[-2,1]=>[1,-2]=>[1,2]=>[.,[.,.]]
[-2,-1]=>[-1,-2]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,2,-3]=>[-3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,-2,3]=>[3,-2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,-2,-3]=>[-3,-2,1]=>[3,2,1]=>[[[.,.],.],.]
[-1,2,3]=>[3,2,-1]=>[3,2,1]=>[[[.,.],.],.]
[-1,2,-3]=>[-3,2,-1]=>[3,2,1]=>[[[.,.],.],.]
[-1,-2,3]=>[3,-2,-1]=>[3,2,1]=>[[[.,.],.],.]
[-1,-2,-3]=>[-3,-2,-1]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2]=>[2,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[1,3,-2]=>[-2,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[1,-3,2]=>[2,-3,1]=>[2,3,1]=>[[.,[.,.]],.]
[1,-3,-2]=>[-2,-3,1]=>[2,3,1]=>[[.,[.,.]],.]
[-1,3,2]=>[2,3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[-1,3,-2]=>[-2,3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[-1,-3,2]=>[2,-3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[-1,-3,-2]=>[-2,-3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[2,1,3]=>[3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,1,-3]=>[-3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,-1,3]=>[3,-1,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,-1,-3]=>[-3,-1,2]=>[3,1,2]=>[[.,.],[.,.]]
[-2,1,3]=>[3,1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[-2,1,-3]=>[-3,1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[-2,-1,3]=>[3,-1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[-2,-1,-3]=>[-3,-1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[2,3,1]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,3,-1]=>[-1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,-3,1]=>[1,-3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,-3,-1]=>[-1,-3,2]=>[1,3,2]=>[.,[[.,.],.]]
[-2,3,1]=>[1,3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[-2,3,-1]=>[-1,3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[-2,-3,1]=>[1,-3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[-2,-3,-1]=>[-1,-3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[3,1,2]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,1,-2]=>[-2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,-1,2]=>[2,-1,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,-1,-2]=>[-2,-1,3]=>[2,1,3]=>[[.,.],[.,.]]
[-3,1,2]=>[2,1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[-3,1,-2]=>[-2,1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[-3,-1,2]=>[2,-1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[-3,-1,-2]=>[-2,-1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,2,-1]=>[-1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,-2,1]=>[1,-2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,-2,-1]=>[-1,-2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[-3,2,1]=>[1,2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[-3,2,-1]=>[-1,2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[-3,-2,1]=>[1,-2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[-3,-2,-1]=>[-1,-2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,3,-4]=>[-4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,-3,4]=>[4,-3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,-3,-4]=>[-4,-3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,-2,3,4]=>[4,3,-2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,-2,3,-4]=>[-4,3,-2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,-2,-3,4]=>[4,-3,-2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,-2,-3,-4]=>[-4,-3,-2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,2,3,4]=>[4,3,2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,2,3,-4]=>[-4,3,2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,2,-3,4]=>[4,-3,2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,2,-3,-4]=>[-4,-3,2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,-2,3,4]=>[4,3,-2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,-2,3,-4]=>[-4,3,-2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,-2,-3,4]=>[4,-3,-2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[-1,-2,-3,-4]=>[-4,-3,-2,-1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,2,4,-3]=>[-3,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,2,-4,3]=>[3,-4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,2,-4,-3]=>[-3,-4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,-2,4,3]=>[3,4,-2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,-2,4,-3]=>[-3,4,-2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,-2,-4,3]=>[3,-4,-2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,-2,-4,-3]=>[-3,-4,-2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,2,4,3]=>[3,4,2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,2,4,-3]=>[-3,4,2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,2,-4,3]=>[3,-4,2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,2,-4,-3]=>[-3,-4,2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,-2,4,3]=>[3,4,-2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,-2,4,-3]=>[-3,4,-2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,-2,-4,3]=>[3,-4,-2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[-1,-2,-4,-3]=>[-3,-4,-2,-1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,2,-4]=>[-4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,-2,4]=>[4,-2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,-2,-4]=>[-4,-2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,-3,2,4]=>[4,2,-3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,-3,2,-4]=>[-4,2,-3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,-3,-2,4]=>[4,-2,-3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,-3,-2,-4]=>[-4,-2,-3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,3,2,4]=>[4,2,3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,3,2,-4]=>[-4,2,3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,3,-2,4]=>[4,-2,3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,3,-2,-4]=>[-4,-2,3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,-3,2,4]=>[4,2,-3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,-3,2,-4]=>[-4,2,-3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,-3,-2,4]=>[4,-2,-3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[-1,-3,-2,-4]=>[-4,-2,-3,-1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,3,4,-2]=>[-2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,3,-4,2]=>[2,-4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,3,-4,-2]=>[-2,-4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,-3,4,2]=>[2,4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,-3,4,-2]=>[-2,4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,-3,-4,2]=>[2,-4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,-3,-4,-2]=>[-2,-4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,3,4,2]=>[2,4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,3,4,-2]=>[-2,4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,3,-4,2]=>[2,-4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,3,-4,-2]=>[-2,-4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,-3,4,2]=>[2,4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,-3,4,-2]=>[-2,4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,-3,-4,2]=>[2,-4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-1,-3,-4,-2]=>[-2,-4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,4,2,3]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,2,-3]=>[-3,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,-2,3]=>[3,-2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,-2,-3]=>[-3,-2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,-4,2,3]=>[3,2,-4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,-4,2,-3]=>[-3,2,-4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,-4,-2,3]=>[3,-2,-4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,-4,-2,-3]=>[-3,-2,-4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,4,2,3]=>[3,2,4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,4,2,-3]=>[-3,2,4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,4,-2,3]=>[3,-2,4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,4,-2,-3]=>[-3,-2,4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,-4,2,3]=>[3,2,-4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,-4,2,-3]=>[-3,2,-4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,-4,-2,3]=>[3,-2,-4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-1,-4,-2,-3]=>[-3,-2,-4,-1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,3,2]=>[2,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,4,3,-2]=>[-2,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,4,-3,2]=>[2,-3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,4,-3,-2]=>[-2,-3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,-4,3,2]=>[2,3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,-4,3,-2]=>[-2,3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,-4,-3,2]=>[2,-3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,-4,-3,-2]=>[-2,-3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,4,3,2]=>[2,3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,4,3,-2]=>[-2,3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,4,-3,2]=>[2,-3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,4,-3,-2]=>[-2,-3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,-4,3,2]=>[2,3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,-4,3,-2]=>[-2,3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,-4,-3,2]=>[2,-3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-1,-4,-3,-2]=>[-2,-3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,1,3,4]=>[4,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,3,-4]=>[-4,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,-3,4]=>[4,-3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,-3,-4]=>[-4,-3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,-1,3,4]=>[4,3,-1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,-1,3,-4]=>[-4,3,-1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,-1,-3,4]=>[4,-3,-1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,-1,-3,-4]=>[-4,-3,-1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,1,3,4]=>[4,3,1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,1,3,-4]=>[-4,3,1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,1,-3,4]=>[4,-3,1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,1,-3,-4]=>[-4,-3,1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,-1,3,4]=>[4,3,-1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,-1,3,-4]=>[-4,3,-1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,-1,-3,4]=>[4,-3,-1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[-2,-1,-3,-4]=>[-4,-3,-1,-2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,1,4,-3]=>[-3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,1,-4,3]=>[3,-4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,1,-4,-3]=>[-3,-4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,-1,4,3]=>[3,4,-1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,-1,4,-3]=>[-3,4,-1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,-1,-4,3]=>[3,-4,-1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,-1,-4,-3]=>[-3,-4,-1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,1,4,3]=>[3,4,1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,1,4,-3]=>[-3,4,1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,1,-4,3]=>[3,-4,1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,1,-4,-3]=>[-3,-4,1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,-1,4,3]=>[3,4,-1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,-1,4,-3]=>[-3,4,-1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,-1,-4,3]=>[3,-4,-1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[-2,-1,-4,-3]=>[-3,-4,-1,-2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[4,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,1,-4]=>[-4,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,-1,4]=>[4,-1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,-1,-4]=>[-4,-1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,-3,1,4]=>[4,1,-3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,-3,1,-4]=>[-4,1,-3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,-3,-1,4]=>[4,-1,-3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,-3,-1,-4]=>[-4,-1,-3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,3,1,4]=>[4,1,3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,3,1,-4]=>[-4,1,3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,3,-1,4]=>[4,-1,3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,3,-1,-4]=>[-4,-1,3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,-3,1,4]=>[4,1,-3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,-3,1,-4]=>[-4,1,-3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,-3,-1,4]=>[4,-1,-3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[-2,-3,-1,-4]=>[-4,-1,-3,-2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,3,4,-1]=>[-1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,3,-4,1]=>[1,-4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,3,-4,-1]=>[-1,-4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,-3,4,1]=>[1,4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
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[1,2,3,-5,4]=>[4,-5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[1,2,3,-5,-4]=>[-4,-5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
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[1,2,-3,-5,4]=>[4,-5,-3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
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[1,-2,3,-5,-4]=>[-4,-5,3,-2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
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[1,-2,-3,-5,4]=>[4,-5,-3,-2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
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[1,2,4,-3,-5]=>[-5,-3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
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[-1,-2,-4,5,3]=>[3,5,-4,-2,-1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[-1,-2,-4,5,-3]=>[-3,5,-4,-2,-1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[-1,-2,-4,-5,3]=>[3,-5,-4,-2,-1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[-1,-2,-4,-5,-3]=>[-3,-5,-4,-2,-1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,2,5,3,4]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,3,-4]=>[-4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,-3,4]=>[4,-3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,-3,-4]=>[-4,-3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,-5,3,4]=>[4,3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,-5,3,-4]=>[-4,3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,-5,-3,4]=>[4,-3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,-5,-3,-4]=>[-4,-3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,5,3,4]=>[4,3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,5,3,-4]=>[-4,3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,5,-3,4]=>[4,-3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,5,-3,-4]=>[-4,-3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,-5,3,4]=>[4,3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,-5,3,-4]=>[-4,3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,-5,-3,4]=>[4,-3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,-2,-5,-3,-4]=>[-4,-3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,5,3,4]=>[4,3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,5,3,-4]=>[-4,3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,5,-3,4]=>[4,-3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,5,-3,-4]=>[-4,-3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,-5,3,4]=>[4,3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,-5,3,-4]=>[-4,3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,-5,-3,4]=>[4,-3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,2,-5,-3,-4]=>[-4,-3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,5,3,4]=>[4,3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,5,3,-4]=>[-4,3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,5,-3,4]=>[4,-3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,5,-3,-4]=>[-4,-3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,-5,3,4]=>[4,3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,-5,3,-4]=>[-4,3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,-5,-3,4]=>[4,-3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-1,-2,-5,-3,-4]=>[-4,-3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,4,3]=>[3,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,4,-3]=>[-3,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,-4,3]=>[3,-4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,-4,-3]=>[-3,-4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,-5,4,3]=>[3,4,-5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,-5,4,-3]=>[-3,4,-5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,-5,-4,3]=>[3,-4,-5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,-5,-4,-3]=>[-3,-4,-5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,5,4,3]=>[3,4,5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,5,4,-3]=>[-3,4,5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,5,-4,3]=>[3,-4,5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,5,-4,-3]=>[-3,-4,5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,-5,4,3]=>[3,4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,-5,4,-3]=>[-3,4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,-5,-4,3]=>[3,-4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,-2,-5,-4,-3]=>[-3,-4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,5,4,3]=>[3,4,5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,5,4,-3]=>[-3,4,5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,5,-4,3]=>[3,-4,5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,5,-4,-3]=>[-3,-4,5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,-5,4,3]=>[3,4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,-5,4,-3]=>[-3,4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,-5,-4,3]=>[3,-4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,2,-5,-4,-3]=>[-3,-4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,5,4,3]=>[3,4,5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,5,4,-3]=>[-3,4,5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,5,-4,3]=>[3,-4,5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,5,-4,-3]=>[-3,-4,5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,-5,4,3]=>[3,4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,-5,4,-3]=>[-3,4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,-5,-4,3]=>[3,-4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-1,-2,-5,-4,-3]=>[-3,-4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,3,2,4,5]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,4,-5]=>[-5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,-4,5]=>[5,-4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,-4,-5]=>[-5,-4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,-2,4,5]=>[5,4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,-2,4,-5]=>[-5,4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,-2,-4,5]=>[5,-4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,-2,-4,-5]=>[-5,-4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,2,4,5]=>[5,4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,2,4,-5]=>[-5,4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,2,-4,5]=>[5,-4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,2,-4,-5]=>[-5,-4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,-2,4,5]=>[5,4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,-2,4,-5]=>[-5,4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,-2,-4,5]=>[5,-4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,-3,-2,-4,-5]=>[-5,-4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,2,4,5]=>[5,4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,2,4,-5]=>[-5,4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,2,-4,5]=>[5,-4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,2,-4,-5]=>[-5,-4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,-2,4,5]=>[5,4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,-2,4,-5]=>[-5,4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,-2,-4,5]=>[5,-4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,3,-2,-4,-5]=>[-5,-4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,2,4,5]=>[5,4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,2,4,-5]=>[-5,4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,2,-4,5]=>[5,-4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,2,-4,-5]=>[-5,-4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,-2,4,5]=>[5,4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,-2,4,-5]=>[-5,4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,-2,-4,5]=>[5,-4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-1,-3,-2,-4,-5]=>[-5,-4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,5,4]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,2,5,-4]=>[-4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,2,-5,4]=>[4,-5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,2,-5,-4]=>[-4,-5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,-2,5,4]=>[4,5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,-2,5,-4]=>[-4,5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,-2,-5,4]=>[4,-5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,-2,-5,-4]=>[-4,-5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,2,5,4]=>[4,5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,2,5,-4]=>[-4,5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,2,-5,4]=>[4,-5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,2,-5,-4]=>[-4,-5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,-2,5,4]=>[4,5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,-2,5,-4]=>[-4,5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,-2,-5,4]=>[4,-5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,-3,-2,-5,-4]=>[-4,-5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,2,5,4]=>[4,5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,2,5,-4]=>[-4,5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,2,-5,4]=>[4,-5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,2,-5,-4]=>[-4,-5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,-2,5,4]=>[4,5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,-2,5,-4]=>[-4,5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,-2,-5,4]=>[4,-5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,3,-2,-5,-4]=>[-4,-5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,2,5,4]=>[4,5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,2,5,-4]=>[-4,5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,2,-5,4]=>[4,-5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,2,-5,-4]=>[-4,-5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,-2,5,4]=>[4,5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,-2,5,-4]=>[-4,5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,-2,-5,4]=>[4,-5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-3,-2,-5,-4]=>[-4,-5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,4,2,5]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,2,-5]=>[-5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,-2,5]=>[5,-2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,-2,-5]=>[-5,-2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-4,2,5]=>[5,2,-4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-4,2,-5]=>[-5,2,-4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-4,-2,5]=>[5,-2,-4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-4,-2,-5]=>[-5,-2,-4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,4,2,5]=>[5,2,4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,4,2,-5]=>[-5,2,4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,4,-2,5]=>[5,-2,4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,4,-2,-5]=>[-5,-2,4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-4,2,5]=>[5,2,-4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-4,2,-5]=>[-5,2,-4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-4,-2,5]=>[5,-2,-4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-4,-2,-5]=>[-5,-2,-4,-3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,4,2,5]=>[5,2,4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,4,2,-5]=>[-5,2,4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,4,-2,5]=>[5,-2,4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,4,-2,-5]=>[-5,-2,4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-4,2,5]=>[5,2,-4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-4,2,-5]=>[-5,2,-4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-4,-2,5]=>[5,-2,-4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-4,-2,-5]=>[-5,-2,-4,3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,4,2,5]=>[5,2,4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,4,2,-5]=>[-5,2,4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,4,-2,5]=>[5,-2,4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,4,-2,-5]=>[-5,-2,4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-4,2,5]=>[5,2,-4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-4,2,-5]=>[-5,2,-4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-4,-2,5]=>[5,-2,-4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-4,-2,-5]=>[-5,-2,-4,-3,-1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,5,2]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,4,5,-2]=>[-2,5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,4,-5,2]=>[2,-5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,4,-5,-2]=>[-2,-5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,-4,5,2]=>[2,5,-4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,-4,5,-2]=>[-2,5,-4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,-4,-5,2]=>[2,-5,-4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,-4,-5,-2]=>[-2,-5,-4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,4,5,2]=>[2,5,4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,4,5,-2]=>[-2,5,4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,4,-5,2]=>[2,-5,4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,4,-5,-2]=>[-2,-5,4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,-4,5,2]=>[2,5,-4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,-4,5,-2]=>[-2,5,-4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,-4,-5,2]=>[2,-5,-4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,-3,-4,-5,-2]=>[-2,-5,-4,-3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,4,5,2]=>[2,5,4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,4,5,-2]=>[-2,5,4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,4,-5,2]=>[2,-5,4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,4,-5,-2]=>[-2,-5,4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,-4,5,2]=>[2,5,-4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,-4,5,-2]=>[-2,5,-4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,-4,-5,2]=>[2,-5,-4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,3,-4,-5,-2]=>[-2,-5,-4,3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,4,5,2]=>[2,5,4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,4,5,-2]=>[-2,5,4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,4,-5,2]=>[2,-5,4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,4,-5,-2]=>[-2,-5,4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,-4,5,2]=>[2,5,-4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,-4,5,-2]=>[-2,5,-4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,-4,-5,2]=>[2,-5,-4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[-1,-3,-4,-5,-2]=>[-2,-5,-4,-3,-1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,5,2,4]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,2,-4]=>[-4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,-2,4]=>[4,-2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,-2,-4]=>[-4,-2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-5,2,4]=>[4,2,-5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-5,2,-4]=>[-4,2,-5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-5,-2,4]=>[4,-2,-5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,-5,-2,-4]=>[-4,-2,-5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,5,2,4]=>[4,2,5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,5,2,-4]=>[-4,2,5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,5,-2,4]=>[4,-2,5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,5,-2,-4]=>[-4,-2,5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-5,2,4]=>[4,2,-5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-5,2,-4]=>[-4,2,-5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-5,-2,4]=>[4,-2,-5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,-3,-5,-2,-4]=>[-4,-2,-5,-3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,5,2,4]=>[4,2,5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,5,2,-4]=>[-4,2,5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,5,-2,4]=>[4,-2,5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,5,-2,-4]=>[-4,-2,5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-5,2,4]=>[4,2,-5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-5,2,-4]=>[-4,2,-5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-5,-2,4]=>[4,-2,-5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,3,-5,-2,-4]=>[-4,-2,-5,3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,5,2,4]=>[4,2,5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,5,2,-4]=>[-4,2,5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,5,-2,4]=>[4,-2,5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,5,-2,-4]=>[-4,-2,5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-5,2,4]=>[4,2,-5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-5,2,-4]=>[-4,2,-5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-5,-2,4]=>[4,-2,-5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[-1,-3,-5,-2,-4]=>[-4,-2,-5,-3,-1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,4,2]=>[2,4,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,5,4,-2]=>[-2,4,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,5,-4,2]=>[2,-4,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,5,-4,-2]=>[-2,-4,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,-5,4,2]=>[2,4,-5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,-5,4,-2]=>[-2,4,-5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,-5,-4,2]=>[2,-4,-5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,-5,-4,-2]=>[-2,-4,-5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,5,4,2]=>[2,4,5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,5,4,-2]=>[-2,4,5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,5,-4,2]=>[2,-4,5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,5,-4,-2]=>[-2,-4,5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,-5,4,2]=>[2,4,-5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,-5,4,-2]=>[-2,4,-5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,-5,-4,2]=>[2,-4,-5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,-3,-5,-4,-2]=>[-2,-4,-5,-3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,5,4,2]=>[2,4,5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,5,4,-2]=>[-2,4,5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,5,-4,2]=>[2,-4,5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,5,-4,-2]=>[-2,-4,5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,-5,4,2]=>[2,4,-5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,-5,4,-2]=>[-2,4,-5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,-5,-4,2]=>[2,-4,-5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,3,-5,-4,-2]=>[-2,-4,-5,3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,5,4,2]=>[2,4,5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,5,4,-2]=>[-2,4,5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,5,-4,2]=>[2,-4,5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,5,-4,-2]=>[-2,-4,5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,-5,4,2]=>[2,4,-5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,-5,4,-2]=>[-2,4,-5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,-5,-4,2]=>[2,-4,-5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[-1,-3,-5,-4,-2]=>[-2,-4,-5,-3,-1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,4,2,3,5]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,3,-5]=>[-5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,-3,5]=>[5,-3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,-3,-5]=>[-5,-3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,-2,3,5]=>[5,3,-2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,-2,3,-5]=>[-5,3,-2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,-2,-3,5]=>[5,-3,-2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,-2,-3,-5]=>[-5,-3,-2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,2,3,5]=>[5,3,2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,2,3,-5]=>[-5,3,2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,2,-3,5]=>[5,-3,2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,2,-3,-5]=>[-5,-3,2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,-2,3,5]=>[5,3,-2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,-2,3,-5]=>[-5,3,-2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,-2,-3,5]=>[5,-3,-2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,-4,-2,-3,-5]=>[-5,-3,-2,-4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,2,3,5]=>[5,3,2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,2,3,-5]=>[-5,3,2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,2,-3,5]=>[5,-3,2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,2,-3,-5]=>[-5,-3,2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,-2,3,5]=>[5,3,-2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,-2,3,-5]=>[-5,3,-2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,-2,-3,5]=>[5,-3,-2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,4,-2,-3,-5]=>[-5,-3,-2,4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,2,3,5]=>[5,3,2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,2,3,-5]=>[-5,3,2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,2,-3,5]=>[5,-3,2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,2,-3,-5]=>[-5,-3,2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,-2,3,5]=>[5,3,-2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,-2,3,-5]=>[-5,3,-2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,-2,-3,5]=>[5,-3,-2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[-1,-4,-2,-3,-5]=>[-5,-3,-2,-4,-1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,5,3]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,5,-3]=>[-3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,-5,3]=>[3,-5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,-5,-3]=>[-3,-5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,-2,5,3]=>[3,5,-2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,-2,5,-3]=>[-3,5,-2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,-2,-5,3]=>[3,-5,-2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,-2,-5,-3]=>[-3,-5,-2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,2,5,3]=>[3,5,2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,2,5,-3]=>[-3,5,2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,2,-5,3]=>[3,-5,2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,2,-5,-3]=>[-3,-5,2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,-2,5,3]=>[3,5,-2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,-2,5,-3]=>[-3,5,-2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,-2,-5,3]=>[3,-5,-2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,-4,-2,-5,-3]=>[-3,-5,-2,-4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,2,5,3]=>[3,5,2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,2,5,-3]=>[-3,5,2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,2,-5,3]=>[3,-5,2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,2,-5,-3]=>[-3,-5,2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,-2,5,3]=>[3,5,-2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,-2,5,-3]=>[-3,5,-2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,-2,-5,3]=>[3,-5,-2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,4,-2,-5,-3]=>[-3,-5,-2,4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,2,5,3]=>[3,5,2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,2,5,-3]=>[-3,5,2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,2,-5,3]=>[3,-5,2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,2,-5,-3]=>[-3,-5,2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,-2,5,3]=>[3,5,-2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,-2,5,-3]=>[-3,5,-2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,-2,-5,3]=>[3,-5,-2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-4,-2,-5,-3]=>[-3,-5,-2,-4,-1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,3,2,5]=>[5,2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,2,-5]=>[-5,2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,-2,5]=>[5,-2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,-2,-5]=>[-5,-2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,-3,2,5]=>[5,2,-3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,-3,2,-5]=>[-5,2,-3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,-3,-2,5]=>[5,-2,-3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,-3,-2,-5]=>[-5,-2,-3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,3,2,5]=>[5,2,3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,3,2,-5]=>[-5,2,3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,3,-2,5]=>[5,-2,3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,3,-2,-5]=>[-5,-2,3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,-3,2,5]=>[5,2,-3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,-3,2,-5]=>[-5,2,-3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,-3,-2,5]=>[5,-2,-3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,-4,-3,-2,-5]=>[-5,-2,-3,-4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,3,2,5]=>[5,2,3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,3,2,-5]=>[-5,2,3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,3,-2,5]=>[5,-2,3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,3,-2,-5]=>[-5,-2,3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,-3,2,5]=>[5,2,-3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,-3,2,-5]=>[-5,2,-3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,-3,-2,5]=>[5,-2,-3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,4,-3,-2,-5]=>[-5,-2,-3,4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,3,2,5]=>[5,2,3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,3,2,-5]=>[-5,2,3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,3,-2,5]=>[5,-2,3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,3,-2,-5]=>[-5,-2,3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,-3,2,5]=>[5,2,-3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,-3,2,-5]=>[-5,2,-3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,-3,-2,5]=>[5,-2,-3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-4,-3,-2,-5]=>[-5,-2,-3,-4,-1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2]=>[2,5,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,5,-2]=>[-2,5,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,-5,2]=>[2,-5,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,-5,-2]=>[-2,-5,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,-3,5,2]=>[2,5,-3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,-3,5,-2]=>[-2,5,-3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,-3,-5,2]=>[2,-5,-3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,-3,-5,-2]=>[-2,-5,-3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,3,5,2]=>[2,5,3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,3,5,-2]=>[-2,5,3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,3,-5,2]=>[2,-5,3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,3,-5,-2]=>[-2,-5,3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,-3,5,2]=>[2,5,-3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,-3,5,-2]=>[-2,5,-3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,-3,-5,2]=>[2,-5,-3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,-4,-3,-5,-2]=>[-2,-5,-3,-4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,3,5,2]=>[2,5,3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,3,5,-2]=>[-2,5,3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,3,-5,2]=>[2,-5,3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,3,-5,-2]=>[-2,-5,3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,-3,5,2]=>[2,5,-3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,-3,5,-2]=>[-2,5,-3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,-3,-5,2]=>[2,-5,-3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,4,-3,-5,-2]=>[-2,-5,-3,4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,3,5,2]=>[2,5,3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,3,5,-2]=>[-2,5,3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,3,-5,2]=>[2,-5,3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,3,-5,-2]=>[-2,-5,3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,-3,5,2]=>[2,5,-3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,-3,5,-2]=>[-2,5,-3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,-3,-5,2]=>[2,-5,-3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-4,-3,-5,-2]=>[-2,-5,-3,-4,-1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,2,3]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,2,-3]=>[-3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,-2,3]=>[3,-2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,-2,-3]=>[-3,-2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,-5,2,3]=>[3,2,-5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,-5,2,-3]=>[-3,2,-5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,-5,-2,3]=>[3,-2,-5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,-5,-2,-3]=>[-3,-2,-5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,5,2,3]=>[3,2,5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,5,2,-3]=>[-3,2,5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,5,-2,3]=>[3,-2,5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,5,-2,-3]=>[-3,-2,5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,-5,2,3]=>[3,2,-5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,-5,2,-3]=>[-3,2,-5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,-5,-2,3]=>[3,-2,-5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,-4,-5,-2,-3]=>[-3,-2,-5,-4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,5,2,3]=>[3,2,5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,5,2,-3]=>[-3,2,5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,5,-2,3]=>[3,-2,5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,5,-2,-3]=>[-3,-2,5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,-5,2,3]=>[3,2,-5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,-5,2,-3]=>[-3,2,-5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,-5,-2,3]=>[3,-2,-5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,4,-5,-2,-3]=>[-3,-2,-5,4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,5,2,3]=>[3,2,5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,5,2,-3]=>[-3,2,5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,5,-2,3]=>[3,-2,5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,5,-2,-3]=>[-3,-2,5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,-5,2,3]=>[3,2,-5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,-5,2,-3]=>[-3,2,-5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,-5,-2,3]=>[3,-2,-5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-1,-4,-5,-2,-3]=>[-3,-2,-5,-4,-1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,3,2]=>[2,3,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,5,3,-2]=>[-2,3,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,5,-3,2]=>[2,-3,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,5,-3,-2]=>[-2,-3,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,-5,3,2]=>[2,3,-5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,-5,3,-2]=>[-2,3,-5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,-5,-3,2]=>[2,-3,-5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,-5,-3,-2]=>[-2,-3,-5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,5,3,2]=>[2,3,5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,5,3,-2]=>[-2,3,5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,5,-3,2]=>[2,-3,5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,5,-3,-2]=>[-2,-3,5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,-5,3,2]=>[2,3,-5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,-5,3,-2]=>[-2,3,-5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,-5,-3,2]=>[2,-3,-5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,-4,-5,-3,-2]=>[-2,-3,-5,-4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,5,3,2]=>[2,3,5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,5,3,-2]=>[-2,3,5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,5,-3,2]=>[2,-3,5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,5,-3,-2]=>[-2,-3,5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,-5,3,2]=>[2,3,-5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,-5,3,-2]=>[-2,3,-5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,-5,-3,2]=>[2,-3,-5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,4,-5,-3,-2]=>[-2,-3,-5,4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,5,3,2]=>[2,3,5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,5,3,-2]=>[-2,3,5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,5,-3,2]=>[2,-3,5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,5,-3,-2]=>[-2,-3,5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,-5,3,2]=>[2,3,-5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,-5,3,-2]=>[-2,3,-5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,-5,-3,2]=>[2,-3,-5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-1,-4,-5,-3,-2]=>[-2,-3,-5,-4,-1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,5,2,3,4]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,3,-4]=>[-4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,-3,4]=>[4,-3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,-3,-4]=>[-4,-3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,-2,3,4]=>[4,3,-2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,-2,3,-4]=>[-4,3,-2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,-2,-3,4]=>[4,-3,-2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,-2,-3,-4]=>[-4,-3,-2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,2,3,4]=>[4,3,2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,2,3,-4]=>[-4,3,2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,2,-3,4]=>[4,-3,2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,2,-3,-4]=>[-4,-3,2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,-2,3,4]=>[4,3,-2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,-2,3,-4]=>[-4,3,-2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,-2,-3,4]=>[4,-3,-2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,-5,-2,-3,-4]=>[-4,-3,-2,-5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,2,3,4]=>[4,3,2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,2,3,-4]=>[-4,3,2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,2,-3,4]=>[4,-3,2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,2,-3,-4]=>[-4,-3,2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,-2,3,4]=>[4,3,-2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,-2,3,-4]=>[-4,3,-2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,-2,-3,4]=>[4,-3,-2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,5,-2,-3,-4]=>[-4,-3,-2,5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,2,3,4]=>[4,3,2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,2,3,-4]=>[-4,3,2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,2,-3,4]=>[4,-3,2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,2,-3,-4]=>[-4,-3,2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,-2,3,4]=>[4,3,-2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,-2,3,-4]=>[-4,3,-2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,-2,-3,4]=>[4,-3,-2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[-1,-5,-2,-3,-4]=>[-4,-3,-2,-5,-1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,4,3]=>[3,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,4,-3]=>[-3,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,-4,3]=>[3,-4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,-4,-3]=>[-3,-4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,-2,4,3]=>[3,4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,-2,4,-3]=>[-3,4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,-2,-4,3]=>[3,-4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,-2,-4,-3]=>[-3,-4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,2,4,3]=>[3,4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,2,4,-3]=>[-3,4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,2,-4,3]=>[3,-4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,2,-4,-3]=>[-3,-4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,-2,4,3]=>[3,4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,-2,4,-3]=>[-3,4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,-2,-4,3]=>[3,-4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,-5,-2,-4,-3]=>[-3,-4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,2,4,3]=>[3,4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,2,4,-3]=>[-3,4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,2,-4,3]=>[3,-4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,2,-4,-3]=>[-3,-4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,-2,4,3]=>[3,4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,-2,4,-3]=>[-3,4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,-2,-4,3]=>[3,-4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,5,-2,-4,-3]=>[-3,-4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,2,4,3]=>[3,4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,2,4,-3]=>[-3,4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,2,-4,3]=>[3,-4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,2,-4,-3]=>[-3,-4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,-2,4,3]=>[3,4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,-2,4,-3]=>[-3,4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,-2,-4,3]=>[3,-4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-1,-5,-2,-4,-3]=>[-3,-4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,3,2,4]=>[4,2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,2,-4]=>[-4,2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,-2,4]=>[4,-2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,-2,-4]=>[-4,-2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-3,2,4]=>[4,2,-3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-3,2,-4]=>[-4,2,-3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-3,-2,4]=>[4,-2,-3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-3,-2,-4]=>[-4,-2,-3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,3,2,4]=>[4,2,3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,3,2,-4]=>[-4,2,3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,3,-2,4]=>[4,-2,3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,3,-2,-4]=>[-4,-2,3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-3,2,4]=>[4,2,-3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-3,2,-4]=>[-4,2,-3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-3,-2,4]=>[4,-2,-3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-3,-2,-4]=>[-4,-2,-3,-5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,3,2,4]=>[4,2,3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,3,2,-4]=>[-4,2,3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,3,-2,4]=>[4,-2,3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,3,-2,-4]=>[-4,-2,3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-3,2,4]=>[4,2,-3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-3,2,-4]=>[-4,2,-3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-3,-2,4]=>[4,-2,-3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-3,-2,-4]=>[-4,-2,-3,5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,3,2,4]=>[4,2,3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,3,2,-4]=>[-4,2,3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,3,-2,4]=>[4,-2,3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,3,-2,-4]=>[-4,-2,3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-3,2,4]=>[4,2,-3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-3,2,-4]=>[-4,2,-3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-3,-2,4]=>[4,-2,-3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-3,-2,-4]=>[-4,-2,-3,-5,-1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,4,2]=>[2,4,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,3,4,-2]=>[-2,4,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,3,-4,2]=>[2,-4,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,3,-4,-2]=>[-2,-4,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,-3,4,2]=>[2,4,-3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,-3,4,-2]=>[-2,4,-3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,-3,-4,2]=>[2,-4,-3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,-3,-4,-2]=>[-2,-4,-3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,3,4,2]=>[2,4,3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,3,4,-2]=>[-2,4,3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,3,-4,2]=>[2,-4,3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,3,-4,-2]=>[-2,-4,3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,-3,4,2]=>[2,4,-3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,-3,4,-2]=>[-2,4,-3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,-3,-4,2]=>[2,-4,-3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,-5,-3,-4,-2]=>[-2,-4,-3,-5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,3,4,2]=>[2,4,3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,3,4,-2]=>[-2,4,3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,3,-4,2]=>[2,-4,3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,3,-4,-2]=>[-2,-4,3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,-3,4,2]=>[2,4,-3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,-3,4,-2]=>[-2,4,-3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,-3,-4,2]=>[2,-4,-3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,5,-3,-4,-2]=>[-2,-4,-3,5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,3,4,2]=>[2,4,3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,3,4,-2]=>[-2,4,3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,3,-4,2]=>[2,-4,3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,3,-4,-2]=>[-2,-4,3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,-3,4,2]=>[2,4,-3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,-3,4,-2]=>[-2,4,-3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,-3,-4,2]=>[2,-4,-3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-1,-5,-3,-4,-2]=>[-2,-4,-3,-5,-1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,4,2,3]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,2,-3]=>[-3,2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,-2,3]=>[3,-2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,-2,-3]=>[-3,-2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-4,2,3]=>[3,2,-4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-4,2,-3]=>[-3,2,-4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-4,-2,3]=>[3,-2,-4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,-4,-2,-3]=>[-3,-2,-4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,4,2,3]=>[3,2,4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,4,2,-3]=>[-3,2,4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,4,-2,3]=>[3,-2,4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,4,-2,-3]=>[-3,-2,4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-4,2,3]=>[3,2,-4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-4,2,-3]=>[-3,2,-4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-4,-2,3]=>[3,-2,-4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,-5,-4,-2,-3]=>[-3,-2,-4,-5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,4,2,3]=>[3,2,4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,4,2,-3]=>[-3,2,4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,4,-2,3]=>[3,-2,4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,4,-2,-3]=>[-3,-2,4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-4,2,3]=>[3,2,-4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-4,2,-3]=>[-3,2,-4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-4,-2,3]=>[3,-2,-4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,5,-4,-2,-3]=>[-3,-2,-4,5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,4,2,3]=>[3,2,4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,4,2,-3]=>[-3,2,4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,4,-2,3]=>[3,-2,4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,4,-2,-3]=>[-3,-2,4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-4,2,3]=>[3,2,-4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-4,2,-3]=>[-3,2,-4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-4,-2,3]=>[3,-2,-4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-1,-5,-4,-2,-3]=>[-3,-2,-4,-5,-1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,3,2]=>[2,3,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,4,3,-2]=>[-2,3,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,4,-3,2]=>[2,-3,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,4,-3,-2]=>[-2,-3,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,-4,3,2]=>[2,3,-4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,-4,3,-2]=>[-2,3,-4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,-4,-3,2]=>[2,-3,-4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,-4,-3,-2]=>[-2,-3,-4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,4,3,2]=>[2,3,4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,4,3,-2]=>[-2,3,4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,4,-3,2]=>[2,-3,4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,4,-3,-2]=>[-2,-3,4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,-4,3,2]=>[2,3,-4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,-4,3,-2]=>[-2,3,-4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,-4,-3,2]=>[2,-3,-4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,-5,-4,-3,-2]=>[-2,-3,-4,-5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,4,3,2]=>[2,3,4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,4,3,-2]=>[-2,3,4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,4,-3,2]=>[2,-3,4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,4,-3,-2]=>[-2,-3,4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,-4,3,2]=>[2,3,-4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,-4,3,-2]=>[-2,3,-4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,-4,-3,2]=>[2,-3,-4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,5,-4,-3,-2]=>[-2,-3,-4,5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,4,3,2]=>[2,3,4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,4,3,-2]=>[-2,3,4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,4,-3,2]=>[2,-3,4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,4,-3,-2]=>[-2,-3,4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,-4,3,2]=>[2,3,-4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,-4,3,-2]=>[-2,3,-4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,-4,-3,2]=>[2,-3,-4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-1,-5,-4,-3,-2]=>[-2,-3,-4,-5,-1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,1,3,4,5]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,4,-5]=>[-5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,-4,5]=>[5,-4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,-4,-5]=>[-5,-4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,-3,4,5]=>[5,4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,-3,4,-5]=>[-5,4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,-3,-4,5]=>[5,-4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,-3,-4,-5]=>[-5,-4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,3,4,5]=>[5,4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,3,4,-5]=>[-5,4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,3,-4,5]=>[5,-4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,3,-4,-5]=>[-5,-4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,-3,4,5]=>[5,4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,-3,4,-5]=>[-5,4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,-3,-4,5]=>[5,-4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,-1,-3,-4,-5]=>[-5,-4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,3,4,5]=>[5,4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,3,4,-5]=>[-5,4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,3,-4,5]=>[5,-4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,3,-4,-5]=>[-5,-4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,-3,4,5]=>[5,4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,-3,4,-5]=>[-5,4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,-3,-4,5]=>[5,-4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,1,-3,-4,-5]=>[-5,-4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,3,4,5]=>[5,4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,3,4,-5]=>[-5,4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,3,-4,5]=>[5,-4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,3,-4,-5]=>[-5,-4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,-3,4,5]=>[5,4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,-3,4,-5]=>[-5,4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,-3,-4,5]=>[5,-4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-2,-1,-3,-4,-5]=>[-5,-4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,3,5,-4]=>[-4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,3,-5,4]=>[4,-5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,3,-5,-4]=>[-4,-5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,-3,5,4]=>[4,5,-3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,-3,5,-4]=>[-4,5,-3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,-3,-5,4]=>[4,-5,-3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,-3,-5,-4]=>[-4,-5,-3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,3,5,4]=>[4,5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,3,5,-4]=>[-4,5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,3,-5,4]=>[4,-5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,3,-5,-4]=>[-4,-5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,-3,5,4]=>[4,5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,-3,5,-4]=>[-4,5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,-3,-5,4]=>[4,-5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,-1,-3,-5,-4]=>[-4,-5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,3,5,4]=>[4,5,3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,3,5,-4]=>[-4,5,3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,3,-5,4]=>[4,-5,3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,3,-5,-4]=>[-4,-5,3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,-3,5,4]=>[4,5,-3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,-3,5,-4]=>[-4,5,-3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,-3,-5,4]=>[4,-5,-3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,1,-3,-5,-4]=>[-4,-5,-3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,3,5,4]=>[4,5,3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,3,5,-4]=>[-4,5,3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,3,-5,4]=>[4,-5,3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,3,-5,-4]=>[-4,-5,3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,-3,5,4]=>[4,5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,-3,5,-4]=>[-4,5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,-3,-5,4]=>[4,-5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-2,-1,-3,-5,-4]=>[-4,-5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,3,-5]=>[-5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,-3,5]=>[5,-3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,-3,-5]=>[-5,-3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-4,3,5]=>[5,3,-4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-4,3,-5]=>[-5,3,-4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-4,-3,5]=>[5,-3,-4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-4,-3,-5]=>[-5,-3,-4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,4,3,5]=>[5,3,4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,4,3,-5]=>[-5,3,4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,4,-3,5]=>[5,-3,4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,4,-3,-5]=>[-5,-3,4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-4,3,5]=>[5,3,-4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-4,3,-5]=>[-5,3,-4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-4,-3,5]=>[5,-3,-4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-4,-3,-5]=>[-5,-3,-4,-1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,4,3,5]=>[5,3,4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,4,3,-5]=>[-5,3,4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,4,-3,5]=>[5,-3,4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,4,-3,-5]=>[-5,-3,4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-4,3,5]=>[5,3,-4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-4,3,-5]=>[-5,3,-4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-4,-3,5]=>[5,-3,-4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-4,-3,-5]=>[-5,-3,-4,1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,4,3,5]=>[5,3,4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,4,3,-5]=>[-5,3,4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,4,-3,5]=>[5,-3,4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,4,-3,-5]=>[-5,-3,4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-4,3,5]=>[5,3,-4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-4,3,-5]=>[-5,3,-4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-4,-3,5]=>[5,-3,-4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-4,-3,-5]=>[-5,-3,-4,-1,-2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,5,3]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,4,5,-3]=>[-3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,4,-5,3]=>[3,-5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,4,-5,-3]=>[-3,-5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,-4,5,3]=>[3,5,-4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,-4,5,-3]=>[-3,5,-4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,-4,-5,3]=>[3,-5,-4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,-4,-5,-3]=>[-3,-5,-4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,4,5,3]=>[3,5,4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,4,5,-3]=>[-3,5,4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,4,-5,3]=>[3,-5,4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,4,-5,-3]=>[-3,-5,4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,-4,5,3]=>[3,5,-4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,-4,5,-3]=>[-3,5,-4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,-4,-5,3]=>[3,-5,-4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,-1,-4,-5,-3]=>[-3,-5,-4,-1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,4,5,3]=>[3,5,4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,4,5,-3]=>[-3,5,4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,4,-5,3]=>[3,-5,4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,4,-5,-3]=>[-3,-5,4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,-4,5,3]=>[3,5,-4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,-4,5,-3]=>[-3,5,-4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,-4,-5,3]=>[3,-5,-4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,1,-4,-5,-3]=>[-3,-5,-4,1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,4,5,3]=>[3,5,4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,4,5,-3]=>[-3,5,4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,4,-5,3]=>[3,-5,4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,4,-5,-3]=>[-3,-5,4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,-4,5,3]=>[3,5,-4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,-4,5,-3]=>[-3,5,-4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,-4,-5,3]=>[3,-5,-4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[-2,-1,-4,-5,-3]=>[-3,-5,-4,-1,-2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,5,3,4]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,3,-4]=>[-4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,-3,4]=>[4,-3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,-3,-4]=>[-4,-3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-5,3,4]=>[4,3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-5,3,-4]=>[-4,3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-5,-3,4]=>[4,-3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,-5,-3,-4]=>[-4,-3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,5,3,4]=>[4,3,5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,5,3,-4]=>[-4,3,5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,5,-3,4]=>[4,-3,5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,5,-3,-4]=>[-4,-3,5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-5,3,4]=>[4,3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-5,3,-4]=>[-4,3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-5,-3,4]=>[4,-3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,-1,-5,-3,-4]=>[-4,-3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,5,3,4]=>[4,3,5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,5,3,-4]=>[-4,3,5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,5,-3,4]=>[4,-3,5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,5,-3,-4]=>[-4,-3,5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-5,3,4]=>[4,3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-5,3,-4]=>[-4,3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-5,-3,4]=>[4,-3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,1,-5,-3,-4]=>[-4,-3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,5,3,4]=>[4,3,5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,5,3,-4]=>[-4,3,5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,5,-3,4]=>[4,-3,5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,5,-3,-4]=>[-4,-3,5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-5,3,4]=>[4,3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-5,3,-4]=>[-4,3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-5,-3,4]=>[4,-3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-2,-1,-5,-3,-4]=>[-4,-3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,4,3]=>[3,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,5,4,-3]=>[-3,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,5,-4,3]=>[3,-4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,5,-4,-3]=>[-3,-4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,-5,4,3]=>[3,4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,-5,4,-3]=>[-3,4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,-5,-4,3]=>[3,-4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,-5,-4,-3]=>[-3,-4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,-1,5,4,3]=>[3,4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,-1,5,4,-3]=>[-3,4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,-1,5,-4,3]=>[3,-4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,-1,5,-4,-3]=>[-3,-4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
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[2,-3,-5,1,-4]=>[-4,1,-5,-3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
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[2,3,5,4,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
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[2,3,-5,4,-1]=>[-1,4,-5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,3,-5,-4,1]=>[1,-4,-5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,3,-5,-4,-1]=>[-1,-4,-5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,-3,5,4,1]=>[1,4,5,-3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,-3,5,4,-1]=>[-1,4,5,-3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,-3,5,-4,1]=>[1,-4,5,-3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
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[2,-3,-5,4,-1]=>[-1,4,-5,-3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
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[-2,3,-5,4,1]=>[1,4,-5,3,-2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
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[2,4,1,-3,5]=>[5,-3,1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,1,-3,-5]=>[-5,-3,1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,-1,3,5]=>[5,3,-1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
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[2,4,-1,-3,5]=>[5,-3,-1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
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[2,-4,1,3,5]=>[5,3,1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,1,3,-5]=>[-5,3,1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,1,-3,5]=>[5,-3,1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,1,-3,-5]=>[-5,-3,1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,-1,3,5]=>[5,3,-1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,-1,3,-5]=>[-5,3,-1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,-1,-3,5]=>[5,-3,-1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,-4,-1,-3,-5]=>[-5,-3,-1,-4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
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[-2,4,1,3,-5]=>[-5,3,1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,4,1,-3,5]=>[5,-3,1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,4,1,-3,-5]=>[-5,-3,1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,4,-1,3,5]=>[5,3,-1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,4,-1,3,-5]=>[-5,3,-1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,4,-1,-3,5]=>[5,-3,-1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,4,-1,-3,-5]=>[-5,-3,-1,4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,-4,1,3,5]=>[5,3,1,-4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,-4,1,3,-5]=>[-5,3,1,-4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,-4,1,-3,5]=>[5,-3,1,-4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[-2,-4,1,-3,-5]=>[-5,-3,1,-4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
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[-2,-4,-1,-3,5]=>[5,-3,-1,-4,-2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
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[2,4,1,5,3]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,-3]=>[-3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,-5,3]=>[3,-5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,-5,-3]=>[-3,-5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,-1,5,3]=>[3,5,-1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,-1,5,-3]=>[-3,5,-1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,-1,-5,3]=>[3,-5,-1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,-1,-5,-3]=>[-3,-5,-1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,1,5,3]=>[3,5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,1,5,-3]=>[-3,5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,1,-5,3]=>[3,-5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,1,-5,-3]=>[-3,-5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,-1,5,3]=>[3,5,-1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,-1,5,-3]=>[-3,5,-1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,-1,-5,3]=>[3,-5,-1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,-4,-1,-5,-3]=>[-3,-5,-1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
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[-2,4,1,5,-3]=>[-3,5,1,4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[-2,4,1,-5,3]=>[3,-5,1,4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[-2,4,1,-5,-3]=>[-3,-5,1,4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[-2,4,-1,5,3]=>[3,5,-1,4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
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[-2,-4,1,5,-3]=>[-3,5,1,-4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
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[-2,-4,3,1,5]=>[5,1,3,-4,-2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[-2,-4,3,1,-5]=>[-5,1,3,-4,-2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[-2,-4,3,-1,5]=>[5,-1,3,-4,-2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
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[3,-1,2,-5,4]=>[4,-5,2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,-1,2,-5,-4]=>[-4,-5,2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,-1,-2,5,4]=>[4,5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,-1,-2,5,-4]=>[-4,5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,-1,-2,-5,4]=>[4,-5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,-1,-2,-5,-4]=>[-4,-5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,2,5,4]=>[4,5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,2,5,-4]=>[-4,5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,2,-5,4]=>[4,-5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,2,-5,-4]=>[-4,-5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,-2,5,4]=>[4,5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,-2,5,-4]=>[-4,5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,-2,-5,4]=>[4,-5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,1,-2,-5,-4]=>[-4,-5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,2,5,4]=>[4,5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,2,5,-4]=>[-4,5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,2,-5,4]=>[4,-5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,2,-5,-4]=>[-4,-5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,-2,5,4]=>[4,5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,-2,5,-4]=>[-4,5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,-2,-5,4]=>[4,-5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-3,-1,-2,-5,-4]=>[-4,-5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,1,4,2,5]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,2,-5]=>[-5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,-2,5]=>[5,-2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,-2,-5]=>[-5,-2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-4,2,5]=>[5,2,-4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-4,2,-5]=>[-5,2,-4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-4,-2,5]=>[5,-2,-4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-4,-2,-5]=>[-5,-2,-4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,4,2,5]=>[5,2,4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,4,2,-5]=>[-5,2,4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,4,-2,5]=>[5,-2,4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,4,-2,-5]=>[-5,-2,4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-4,2,5]=>[5,2,-4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-4,2,-5]=>[-5,2,-4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-4,-2,5]=>[5,-2,-4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-4,-2,-5]=>[-5,-2,-4,-1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,4,2,5]=>[5,2,4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,4,2,-5]=>[-5,2,4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,4,-2,5]=>[5,-2,4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,4,-2,-5]=>[-5,-2,4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-4,2,5]=>[5,2,-4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-4,2,-5]=>[-5,2,-4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-4,-2,5]=>[5,-2,-4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-4,-2,-5]=>[-5,-2,-4,1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,4,2,5]=>[5,2,4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,4,2,-5]=>[-5,2,4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,4,-2,5]=>[5,-2,4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,4,-2,-5]=>[-5,-2,4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-4,2,5]=>[5,2,-4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-4,2,-5]=>[-5,2,-4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-4,-2,5]=>[5,-2,-4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-4,-2,-5]=>[-5,-2,-4,-1,-3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,5,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,4,5,-2]=>[-2,5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,4,-5,2]=>[2,-5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,4,-5,-2]=>[-2,-5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,-4,5,2]=>[2,5,-4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,-4,5,-2]=>[-2,5,-4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,-4,-5,2]=>[2,-5,-4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,-4,-5,-2]=>[-2,-5,-4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,4,5,2]=>[2,5,4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,4,5,-2]=>[-2,5,4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,4,-5,2]=>[2,-5,4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,4,-5,-2]=>[-2,-5,4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,-4,5,2]=>[2,5,-4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,-4,5,-2]=>[-2,5,-4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,-4,-5,2]=>[2,-5,-4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,-1,-4,-5,-2]=>[-2,-5,-4,-1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,4,5,2]=>[2,5,4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,4,5,-2]=>[-2,5,4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,4,-5,2]=>[2,-5,4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,4,-5,-2]=>[-2,-5,4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,-4,5,2]=>[2,5,-4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,-4,5,-2]=>[-2,5,-4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,-4,-5,2]=>[2,-5,-4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,1,-4,-5,-2]=>[-2,-5,-4,1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,4,5,2]=>[2,5,4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,4,5,-2]=>[-2,5,4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,4,-5,2]=>[2,-5,4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,4,-5,-2]=>[-2,-5,4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,-4,5,2]=>[2,5,-4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,-4,5,-2]=>[-2,5,-4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,-4,-5,2]=>[2,-5,-4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[-3,-1,-4,-5,-2]=>[-2,-5,-4,-1,-3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,2,-4]=>[-4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,-2,4]=>[4,-2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,-2,-4]=>[-4,-2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-5,2,4]=>[4,2,-5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-5,2,-4]=>[-4,2,-5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-5,-2,4]=>[4,-2,-5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,-5,-2,-4]=>[-4,-2,-5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,5,2,4]=>[4,2,5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,5,2,-4]=>[-4,2,5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,5,-2,4]=>[4,-2,5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,5,-2,-4]=>[-4,-2,5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-5,2,4]=>[4,2,-5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-5,2,-4]=>[-4,2,-5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-5,-2,4]=>[4,-2,-5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,-1,-5,-2,-4]=>[-4,-2,-5,-1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,5,2,4]=>[4,2,5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,5,2,-4]=>[-4,2,5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,5,-2,4]=>[4,-2,5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,5,-2,-4]=>[-4,-2,5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-5,2,4]=>[4,2,-5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-5,2,-4]=>[-4,2,-5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-5,-2,4]=>[4,-2,-5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,1,-5,-2,-4]=>[-4,-2,-5,1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,5,2,4]=>[4,2,5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,5,2,-4]=>[-4,2,5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,5,-2,4]=>[4,-2,5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,5,-2,-4]=>[-4,-2,5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-5,2,4]=>[4,2,-5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-5,2,-4]=>[-4,2,-5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-5,-2,4]=>[4,-2,-5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[-3,-1,-5,-2,-4]=>[-4,-2,-5,-1,-3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,4,2]=>[2,4,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,5,4,-2]=>[-2,4,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,5,-4,2]=>[2,-4,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,5,-4,-2]=>[-2,-4,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,-5,4,2]=>[2,4,-5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,-5,4,-2]=>[-2,4,-5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,-5,-4,2]=>[2,-4,-5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,-5,-4,-2]=>[-2,-4,-5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,5,4,2]=>[2,4,5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,5,4,-2]=>[-2,4,5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,5,-4,2]=>[2,-4,5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,5,-4,-2]=>[-2,-4,5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,-5,4,2]=>[2,4,-5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,-5,4,-2]=>[-2,4,-5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,-5,-4,2]=>[2,-4,-5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,-1,-5,-4,-2]=>[-2,-4,-5,-1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,5,4,2]=>[2,4,5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,5,4,-2]=>[-2,4,5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,5,-4,2]=>[2,-4,5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,5,-4,-2]=>[-2,-4,5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,-5,4,2]=>[2,4,-5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,-5,4,-2]=>[-2,4,-5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,-5,-4,2]=>[2,-4,-5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,1,-5,-4,-2]=>[-2,-4,-5,1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,5,4,2]=>[2,4,5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,5,4,-2]=>[-2,4,5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,5,-4,2]=>[2,-4,5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,5,-4,-2]=>[-2,-4,5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,-5,4,2]=>[2,4,-5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,-5,4,-2]=>[-2,4,-5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,-5,-4,2]=>[2,-4,-5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[-3,-1,-5,-4,-2]=>[-2,-4,-5,-1,-3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,2,1,4,5]=>[5,4,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,4,-5]=>[-5,4,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,-4,5]=>[5,-4,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,-4,-5]=>[-5,-4,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,-1,4,5]=>[5,4,-1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,-1,4,-5]=>[-5,4,-1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,-1,-4,5]=>[5,-4,-1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,-1,-4,-5]=>[-5,-4,-1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,1,4,5]=>[5,4,1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,1,4,-5]=>[-5,4,1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,1,-4,5]=>[5,-4,1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,1,-4,-5]=>[-5,-4,1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,-1,4,5]=>[5,4,-1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,-1,4,-5]=>[-5,4,-1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,-1,-4,5]=>[5,-4,-1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,-2,-1,-4,-5]=>[-5,-4,-1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,1,4,5]=>[5,4,1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,1,4,-5]=>[-5,4,1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,1,-4,5]=>[5,-4,1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,1,-4,-5]=>[-5,-4,1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,-1,4,5]=>[5,4,-1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,-1,4,-5]=>[-5,4,-1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,-1,-4,5]=>[5,-4,-1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,2,-1,-4,-5]=>[-5,-4,-1,2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,1,4,5]=>[5,4,1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,1,4,-5]=>[-5,4,1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,1,-4,5]=>[5,-4,1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,1,-4,-5]=>[-5,-4,1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,-1,4,5]=>[5,4,-1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,-1,4,-5]=>[-5,4,-1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,-1,-4,5]=>[5,-4,-1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-3,-2,-1,-4,-5]=>[-5,-4,-1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,5,4]=>[4,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,5,-4]=>[-4,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,-5,4]=>[4,-5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,-5,-4]=>[-4,-5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,-1,5,4]=>[4,5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,-1,5,-4]=>[-4,5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,-1,-5,4]=>[4,-5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,-1,-5,-4]=>[-4,-5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,1,5,4]=>[4,5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,1,5,-4]=>[-4,5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,1,-5,4]=>[4,-5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,1,-5,-4]=>[-4,-5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,-1,5,4]=>[4,5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,-1,5,-4]=>[-4,5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,-1,-5,4]=>[4,-5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,-2,-1,-5,-4]=>[-4,-5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,1,5,4]=>[4,5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,1,5,-4]=>[-4,5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,1,-5,4]=>[4,-5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,1,-5,-4]=>[-4,-5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,-1,5,4]=>[4,5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,-1,5,-4]=>[-4,5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,-1,-5,4]=>[4,-5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,2,-1,-5,-4]=>[-4,-5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,1,5,4]=>[4,5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,1,5,-4]=>[-4,5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,1,-5,4]=>[4,-5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,1,-5,-4]=>[-4,-5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,-1,5,4]=>[4,5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,-1,5,-4]=>[-4,5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,-1,-5,4]=>[4,-5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-3,-2,-1,-5,-4]=>[-4,-5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,4,1,5]=>[5,1,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,1,-5]=>[-5,1,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,-1,5]=>[5,-1,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,-1,-5]=>[-5,-1,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-4,1,5]=>[5,1,-4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-4,1,-5]=>[-5,1,-4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-4,-1,5]=>[5,-1,-4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-4,-1,-5]=>[-5,-1,-4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,4,1,5]=>[5,1,4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,4,1,-5]=>[-5,1,4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,4,-1,5]=>[5,-1,4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,4,-1,-5]=>[-5,-1,4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-4,1,5]=>[5,1,-4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-4,1,-5]=>[-5,1,-4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-4,-1,5]=>[5,-1,-4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-4,-1,-5]=>[-5,-1,-4,-2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,4,1,5]=>[5,1,4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,4,1,-5]=>[-5,1,4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,4,-1,5]=>[5,-1,4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,4,-1,-5]=>[-5,-1,4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-4,1,5]=>[5,1,-4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-4,1,-5]=>[-5,1,-4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-4,-1,5]=>[5,-1,-4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-4,-1,-5]=>[-5,-1,-4,2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,4,1,5]=>[5,1,4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,4,1,-5]=>[-5,1,4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,4,-1,5]=>[5,-1,4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,4,-1,-5]=>[-5,-1,4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-4,1,5]=>[5,1,-4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-4,1,-5]=>[-5,1,-4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-4,-1,5]=>[5,-1,-4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-4,-1,-5]=>[-5,-1,-4,-2,-3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,5,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,4,5,-1]=>[-1,5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,4,-5,1]=>[1,-5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,4,-5,-1]=>[-1,-5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,-4,5,1]=>[1,5,-4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,-4,5,-1]=>[-1,5,-4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,-4,-5,1]=>[1,-5,-4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,-4,-5,-1]=>[-1,-5,-4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,4,5,1]=>[1,5,4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,4,5,-1]=>[-1,5,4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,4,-5,1]=>[1,-5,4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,4,-5,-1]=>[-1,-5,4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,-4,5,1]=>[1,5,-4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,-4,5,-1]=>[-1,5,-4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,-4,-5,1]=>[1,-5,-4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,-2,-4,-5,-1]=>[-1,-5,-4,-2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,2,4,5,1]=>[1,5,4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,2,4,5,-1]=>[-1,5,4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,2,4,-5,1]=>[1,-5,4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,2,4,-5,-1]=>[-1,-5,4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,2,-4,5,1]=>[1,5,-4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
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[-3,2,-4,-5,1]=>[1,-5,-4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,2,-4,-5,-1]=>[-1,-5,-4,2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,4,5,1]=>[1,5,4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,4,5,-1]=>[-1,5,4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,4,-5,1]=>[1,-5,4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,4,-5,-1]=>[-1,-5,4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,-4,5,1]=>[1,5,-4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,-4,5,-1]=>[-1,5,-4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,-4,-5,1]=>[1,-5,-4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[-3,-2,-4,-5,-1]=>[-1,-5,-4,-2,-3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,5,1,4]=>[4,1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,1,-4]=>[-4,1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,-1,4]=>[4,-1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,-1,-4]=>[-4,-1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-5,1,4]=>[4,1,-5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-5,1,-4]=>[-4,1,-5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-5,-1,4]=>[4,-1,-5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,-5,-1,-4]=>[-4,-1,-5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,5,1,4]=>[4,1,5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,5,1,-4]=>[-4,1,5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,5,-1,4]=>[4,-1,5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,5,-1,-4]=>[-4,-1,5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-5,1,4]=>[4,1,-5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-5,1,-4]=>[-4,1,-5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-5,-1,4]=>[4,-1,-5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,-2,-5,-1,-4]=>[-4,-1,-5,-2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,5,1,4]=>[4,1,5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,5,1,-4]=>[-4,1,5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,5,-1,4]=>[4,-1,5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,5,-1,-4]=>[-4,-1,5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-5,1,4]=>[4,1,-5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-5,1,-4]=>[-4,1,-5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-5,-1,4]=>[4,-1,-5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,2,-5,-1,-4]=>[-4,-1,-5,2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,5,1,4]=>[4,1,5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,5,1,-4]=>[-4,1,5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,5,-1,4]=>[4,-1,5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,5,-1,-4]=>[-4,-1,5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-5,1,4]=>[4,1,-5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-5,1,-4]=>[-4,1,-5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-5,-1,4]=>[4,-1,-5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[-3,-2,-5,-1,-4]=>[-4,-1,-5,-2,-3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,4,-1]=>[-1,4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,-4,1]=>[1,-4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,-4,-1]=>[-1,-4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,-5,4,1]=>[1,4,-5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
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[3,-2,5,4,1]=>[1,4,5,-2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
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[3,-2,5,-4,-1]=>[-1,-4,5,-2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,-2,-5,4,1]=>[1,4,-5,-2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
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[3,-2,-5,-4,1]=>[1,-4,-5,-2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
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[3,-4,1,2,-5]=>[-5,2,1,-4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,-4,1,-2,5]=>[5,-2,1,-4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
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[3,-4,-5,-1,-2]=>[-2,-1,-5,-4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[-3,4,5,1,2]=>[2,1,5,4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[-3,4,5,1,-2]=>[-2,1,5,4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
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[-3,4,5,-1,-2]=>[-2,-1,5,4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
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[-3,4,-5,1,-2]=>[-2,1,-5,4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
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[-3,4,-5,-1,-2]=>[-2,-1,-5,4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[-3,-4,5,1,2]=>[2,1,5,-4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[-3,-4,5,1,-2]=>[-2,1,5,-4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[-3,-4,5,-1,2]=>[2,-1,5,-4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[-3,-4,5,-1,-2]=>[-2,-1,5,-4,-3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
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[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
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[3,4,-5,2,1]=>[1,2,-5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
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[3,4,-5,-2,-1]=>[-1,-2,-5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,-4,5,2,1]=>[1,2,5,-4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,-4,5,2,-1]=>[-1,2,5,-4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
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[3,-4,-5,2,1]=>[1,2,-5,-4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
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[3,5,1,-2,4]=>[4,-2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,1,-2,-4]=>[-4,-2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,-1,2,4]=>[4,2,-1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
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[3,5,-1,-2,4]=>[4,-2,-1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,-1,-2,-4]=>[-4,-2,-1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,1,2,4]=>[4,2,1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,1,2,-4]=>[-4,2,1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,1,-2,4]=>[4,-2,1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,1,-2,-4]=>[-4,-2,1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,-1,2,4]=>[4,2,-1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,-1,2,-4]=>[-4,2,-1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,-1,-2,4]=>[4,-2,-1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,-5,-1,-2,-4]=>[-4,-2,-1,-5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
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[-3,5,1,2,-4]=>[-4,2,1,5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,5,1,-2,4]=>[4,-2,1,5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,5,1,-2,-4]=>[-4,-2,1,5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
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[-3,5,-1,2,-4]=>[-4,2,-1,5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,5,-1,-2,4]=>[4,-2,-1,5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,5,-1,-2,-4]=>[-4,-2,-1,5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,1,2,4]=>[4,2,1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,1,2,-4]=>[-4,2,1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,1,-2,4]=>[4,-2,1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,1,-2,-4]=>[-4,-2,1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,-1,2,4]=>[4,2,-1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,-1,2,-4]=>[-4,2,-1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,-1,-2,4]=>[4,-2,-1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[-3,-5,-1,-2,-4]=>[-4,-2,-1,-5,-3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,1,4,2]=>[2,4,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,-2]=>[-2,4,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,-4,2]=>[2,-4,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,-4,-2]=>[-2,-4,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,-1,4,2]=>[2,4,-1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,-1,4,-2]=>[-2,4,-1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,-1,-4,2]=>[2,-4,-1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,-1,-4,-2]=>[-2,-4,-1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,1,4,2]=>[2,4,1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,1,4,-2]=>[-2,4,1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,1,-4,2]=>[2,-4,1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,1,-4,-2]=>[-2,-4,1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,-1,4,2]=>[2,4,-1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,-1,4,-2]=>[-2,4,-1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,-1,-4,2]=>[2,-4,-1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,-5,-1,-4,-2]=>[-2,-4,-1,-5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,5,1,4,2]=>[2,4,1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,5,1,4,-2]=>[-2,4,1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,5,1,-4,2]=>[2,-4,1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,5,1,-4,-2]=>[-2,-4,1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,5,-1,4,2]=>[2,4,-1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
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[-3,5,-1,-4,2]=>[2,-4,-1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,5,-1,-4,-2]=>[-2,-4,-1,5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,-5,1,4,2]=>[2,4,1,-5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,-5,1,4,-2]=>[-2,4,1,-5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,-5,1,-4,2]=>[2,-4,1,-5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[-3,-5,1,-4,-2]=>[-2,-4,1,-5,-3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
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[3,-5,-2,4,-1]=>[-1,4,-2,-5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,-5,-2,-4,1]=>[1,-4,-2,-5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,-5,-2,-4,-1]=>[-1,-4,-2,-5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,2,4,1]=>[1,4,2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,2,4,-1]=>[-1,4,2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,2,-4,1]=>[1,-4,2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,2,-4,-1]=>[-1,-4,2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,-2,4,1]=>[1,4,-2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,-2,4,-1]=>[-1,4,-2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,-2,-4,1]=>[1,-4,-2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,5,-2,-4,-1]=>[-1,-4,-2,5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,2,4,1]=>[1,4,2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,2,4,-1]=>[-1,4,2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,2,-4,1]=>[1,-4,2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,2,-4,-1]=>[-1,-4,2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,-2,4,1]=>[1,4,-2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,-2,4,-1]=>[-1,4,-2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,-2,-4,1]=>[1,-4,-2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[-3,-5,-2,-4,-1]=>[-1,-4,-2,-5,-3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,5,4,1,2]=>[2,1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,1,-2]=>[-2,1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,-1,2]=>[2,-1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,-1,-2]=>[-2,-1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,-4,1,2]=>[2,1,-4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,-4,1,-2]=>[-2,1,-4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,-4,-1,2]=>[2,-1,-4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,-4,-1,-2]=>[-2,-1,-4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,4,1,2]=>[2,1,4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,4,1,-2]=>[-2,1,4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,4,-1,2]=>[2,-1,4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,4,-1,-2]=>[-2,-1,4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,-4,1,2]=>[2,1,-4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,-4,1,-2]=>[-2,1,-4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,-4,-1,2]=>[2,-1,-4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,-5,-4,-1,-2]=>[-2,-1,-4,-5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,4,1,2]=>[2,1,4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,4,1,-2]=>[-2,1,4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,4,-1,2]=>[2,-1,4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,4,-1,-2]=>[-2,-1,4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,-4,1,2]=>[2,1,-4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,-4,1,-2]=>[-2,1,-4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,-4,-1,2]=>[2,-1,-4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,5,-4,-1,-2]=>[-2,-1,-4,5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,4,1,2]=>[2,1,4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,4,1,-2]=>[-2,1,4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,4,-1,2]=>[2,-1,4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,4,-1,-2]=>[-2,-1,4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,-4,1,2]=>[2,1,-4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,-4,1,-2]=>[-2,1,-4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,-4,-1,2]=>[2,-1,-4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[-3,-5,-4,-1,-2]=>[-2,-1,-4,-5,-3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,2,-1]=>[-1,2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,-2,1]=>[1,-2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,-2,-1]=>[-1,-2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,-4,2,1]=>[1,2,-4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,-4,2,-1]=>[-1,2,-4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,-4,-2,1]=>[1,-2,-4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,-4,-2,-1]=>[-1,-2,-4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,4,2,1]=>[1,2,4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,4,2,-1]=>[-1,2,4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,4,-2,1]=>[1,-2,4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,4,-2,-1]=>[-1,-2,4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,-4,2,1]=>[1,2,-4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,-4,2,-1]=>[-1,2,-4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,-4,-2,1]=>[1,-2,-4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,-5,-4,-2,-1]=>[-1,-2,-4,-5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,4,2,1]=>[1,2,4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,4,2,-1]=>[-1,2,4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,4,-2,1]=>[1,-2,4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,4,-2,-1]=>[-1,-2,4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,-4,2,1]=>[1,2,-4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,-4,2,-1]=>[-1,2,-4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,-4,-2,1]=>[1,-2,-4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,5,-4,-2,-1]=>[-1,-2,-4,5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,4,2,1]=>[1,2,4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,4,2,-1]=>[-1,2,4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,4,-2,1]=>[1,-2,4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,4,-2,-1]=>[-1,-2,4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,-4,2,1]=>[1,2,-4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,-4,2,-1]=>[-1,2,-4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,-4,-2,1]=>[1,-2,-4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-3,-5,-4,-2,-1]=>[-1,-2,-4,-5,-3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,1,2,3,5]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,2,3,-5]=>[-5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,2,-3,5]=>[5,-3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,2,-3,-5]=>[-5,-3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,-2,3,5]=>[5,3,-2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,-2,3,-5]=>[-5,3,-2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,-2,-3,5]=>[5,-3,-2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,-2,-3,-5]=>[-5,-3,-2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,2,3,5]=>[5,3,2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,2,3,-5]=>[-5,3,2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,2,-3,5]=>[5,-3,2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,2,-3,-5]=>[-5,-3,2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,-2,3,5]=>[5,3,-2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,-2,3,-5]=>[-5,3,-2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,-2,-3,5]=>[5,-3,-2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,-1,-2,-3,-5]=>[-5,-3,-2,-1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,2,3,5]=>[5,3,2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,2,3,-5]=>[-5,3,2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,2,-3,5]=>[5,-3,2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,2,-3,-5]=>[-5,-3,2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,-2,3,5]=>[5,3,-2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,-2,3,-5]=>[-5,3,-2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,-2,-3,5]=>[5,-3,-2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,1,-2,-3,-5]=>[-5,-3,-2,1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,-1,2,3,5]=>[5,3,2,-1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,-1,2,3,-5]=>[-5,3,2,-1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[-4,-1,2,-3,5]=>[5,-3,2,-1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
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[-4,-1,-2,3,5]=>[5,3,-2,-1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
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[-4,-1,-2,-3,5]=>[5,-3,-2,-1,-4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
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[4,1,2,5,3]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,5,-3]=>[-3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,-5,3]=>[3,-5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,-5,-3]=>[-3,-5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,-2,5,3]=>[3,5,-2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,-2,5,-3]=>[-3,5,-2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,-2,-5,3]=>[3,-5,-2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,-2,-5,-3]=>[-3,-5,-2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
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[4,-1,2,5,-3]=>[-3,5,2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,-1,2,-5,3]=>[3,-5,2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,-1,2,-5,-3]=>[-3,-5,2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,-1,-2,5,3]=>[3,5,-2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
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[4,-1,-2,-5,3]=>[3,-5,-2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
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[-4,1,2,-5,-3]=>[-3,-5,2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,1,-2,5,3]=>[3,5,-2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,1,-2,5,-3]=>[-3,5,-2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,1,-2,-5,3]=>[3,-5,-2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,1,-2,-5,-3]=>[-3,-5,-2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,2,5,3]=>[3,5,2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,2,5,-3]=>[-3,5,2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,2,-5,3]=>[3,-5,2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,2,-5,-3]=>[-3,-5,2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,-2,5,3]=>[3,5,-2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,-2,5,-3]=>[-3,5,-2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[-4,-1,-2,-5,3]=>[3,-5,-2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
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[4,1,3,2,5]=>[5,2,3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
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[4,1,3,-2,5]=>[5,-2,3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,-2,-5]=>[-5,-2,3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,-3,2,5]=>[5,2,-3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,-3,2,-5]=>[-5,2,-3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
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[4,1,-3,-2,-5]=>[-5,-2,-3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
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[4,-1,3,-2,-5]=>[-5,-2,3,-1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
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[4,-1,-3,2,-5]=>[-5,2,-3,-1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,-3,-2,5]=>[5,-2,-3,-1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,-3,-2,-5]=>[-5,-2,-3,-1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,3,2,5]=>[5,2,3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,3,2,-5]=>[-5,2,3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,3,-2,5]=>[5,-2,3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,3,-2,-5]=>[-5,-2,3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-3,2,5]=>[5,2,-3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-3,2,-5]=>[-5,2,-3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-3,-2,5]=>[5,-2,-3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-3,-2,-5]=>[-5,-2,-3,1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,3,2,5]=>[5,2,3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,3,2,-5]=>[-5,2,3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,3,-2,5]=>[5,-2,3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,3,-2,-5]=>[-5,-2,3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-3,2,5]=>[5,2,-3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-3,2,-5]=>[-5,2,-3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-3,-2,5]=>[5,-2,-3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-3,-2,-5]=>[-5,-2,-3,-1,-4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,5,-2]=>[-2,5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,-5,2]=>[2,-5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,-5,-2]=>[-2,-5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,-3,5,2]=>[2,5,-3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,-3,5,-2]=>[-2,5,-3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,-3,-5,2]=>[2,-5,-3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,-3,-5,-2]=>[-2,-5,-3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,3,5,2]=>[2,5,3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,3,5,-2]=>[-2,5,3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,3,-5,2]=>[2,-5,3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,3,-5,-2]=>[-2,-5,3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,-3,5,2]=>[2,5,-3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,-3,5,-2]=>[-2,5,-3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,-3,-5,2]=>[2,-5,-3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,-1,-3,-5,-2]=>[-2,-5,-3,-1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,3,5,2]=>[2,5,3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,3,5,-2]=>[-2,5,3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,3,-5,2]=>[2,-5,3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,3,-5,-2]=>[-2,-5,3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,-3,5,2]=>[2,5,-3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,-3,5,-2]=>[-2,5,-3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,-3,-5,2]=>[2,-5,-3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,1,-3,-5,-2]=>[-2,-5,-3,1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,3,5,2]=>[2,5,3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,3,5,-2]=>[-2,5,3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,3,-5,2]=>[2,-5,3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,3,-5,-2]=>[-2,-5,3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,-3,5,2]=>[2,5,-3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,-3,5,-2]=>[-2,5,-3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,-3,-5,2]=>[2,-5,-3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[-4,-1,-3,-5,-2]=>[-2,-5,-3,-1,-4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,2,-3]=>[-3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,-2,3]=>[3,-2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,-2,-3]=>[-3,-2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,-5,2,3]=>[3,2,-5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,-5,2,-3]=>[-3,2,-5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,-5,-2,3]=>[3,-2,-5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,-5,-2,-3]=>[-3,-2,-5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,5,2,3]=>[3,2,5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,5,2,-3]=>[-3,2,5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,5,-2,3]=>[3,-2,5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,5,-2,-3]=>[-3,-2,5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,-5,2,3]=>[3,2,-5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,-5,2,-3]=>[-3,2,-5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,-5,-2,3]=>[3,-2,-5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,-1,-5,-2,-3]=>[-3,-2,-5,-1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,5,2,3]=>[3,2,5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,5,2,-3]=>[-3,2,5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,5,-2,3]=>[3,-2,5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,5,-2,-3]=>[-3,-2,5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-5,2,3]=>[3,2,-5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-5,2,-3]=>[-3,2,-5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-5,-2,3]=>[3,-2,-5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,1,-5,-2,-3]=>[-3,-2,-5,1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,5,2,3]=>[3,2,5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,5,2,-3]=>[-3,2,5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,5,-2,3]=>[3,-2,5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,5,-2,-3]=>[-3,-2,5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-5,2,3]=>[3,2,-5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-5,2,-3]=>[-3,2,-5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-5,-2,3]=>[3,-2,-5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[-4,-1,-5,-2,-3]=>[-3,-2,-5,-1,-4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,3,2]=>[2,3,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,5,3,-2]=>[-2,3,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,5,-3,2]=>[2,-3,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,5,-3,-2]=>[-2,-3,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,-5,3,2]=>[2,3,-5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,-5,3,-2]=>[-2,3,-5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,-5,-3,2]=>[2,-3,-5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,-5,-3,-2]=>[-2,-3,-5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,5,3,2]=>[2,3,5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,5,3,-2]=>[-2,3,5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,5,-3,2]=>[2,-3,5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,5,-3,-2]=>[-2,-3,5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,-5,3,2]=>[2,3,-5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,-5,3,-2]=>[-2,3,-5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,-5,-3,2]=>[2,-3,-5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,-1,-5,-3,-2]=>[-2,-3,-5,-1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,5,3,2]=>[2,3,5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,5,3,-2]=>[-2,3,5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,5,-3,2]=>[2,-3,5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,5,-3,-2]=>[-2,-3,5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,-5,3,2]=>[2,3,-5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,-5,3,-2]=>[-2,3,-5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,-5,-3,2]=>[2,-3,-5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,1,-5,-3,-2]=>[-2,-3,-5,1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,5,3,2]=>[2,3,5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,5,3,-2]=>[-2,3,5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,5,-3,2]=>[2,-3,5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,5,-3,-2]=>[-2,-3,5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,-5,3,2]=>[2,3,-5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,-5,3,-2]=>[-2,3,-5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,-5,-3,2]=>[2,-3,-5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[-4,-1,-5,-3,-2]=>[-2,-3,-5,-1,-4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,2,1,3,5]=>[5,3,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,3,-5]=>[-5,3,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,-3,5]=>[5,-3,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,-3,-5]=>[-5,-3,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,-1,3,5]=>[5,3,-1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,-1,3,-5]=>[-5,3,-1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,-1,-3,5]=>[5,-3,-1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,-1,-3,-5]=>[-5,-3,-1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,1,3,5]=>[5,3,1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,1,3,-5]=>[-5,3,1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,1,-3,5]=>[5,-3,1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,1,-3,-5]=>[-5,-3,1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,-1,3,5]=>[5,3,-1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,-1,3,-5]=>[-5,3,-1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,-1,-3,5]=>[5,-3,-1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,-2,-1,-3,-5]=>[-5,-3,-1,-2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,1,3,5]=>[5,3,1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,1,3,-5]=>[-5,3,1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,1,-3,5]=>[5,-3,1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,1,-3,-5]=>[-5,-3,1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,-1,3,5]=>[5,3,-1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,-1,3,-5]=>[-5,3,-1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,-1,-3,5]=>[5,-3,-1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,2,-1,-3,-5]=>[-5,-3,-1,2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,1,3,5]=>[5,3,1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,1,3,-5]=>[-5,3,1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,1,-3,5]=>[5,-3,1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,1,-3,-5]=>[-5,-3,1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,-1,3,5]=>[5,3,-1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,-1,3,-5]=>[-5,3,-1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,-1,-3,5]=>[5,-3,-1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-2,-1,-3,-5]=>[-5,-3,-1,-2,-4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,5,3]=>[3,5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,5,-3]=>[-3,5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,-5,3]=>[3,-5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,-5,-3]=>[-3,-5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,-1,5,3]=>[3,5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,-1,5,-3]=>[-3,5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,-1,-5,3]=>[3,-5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,-1,-5,-3]=>[-3,-5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,1,5,3]=>[3,5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,1,5,-3]=>[-3,5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,1,-5,3]=>[3,-5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,1,-5,-3]=>[-3,-5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,-1,5,3]=>[3,5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,-1,5,-3]=>[-3,5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,-1,-5,3]=>[3,-5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-2,-1,-5,-3]=>[-3,-5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,1,5,3]=>[3,5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,1,5,-3]=>[-3,5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,1,-5,3]=>[3,-5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,1,-5,-3]=>[-3,-5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,-1,5,3]=>[3,5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,-1,5,-3]=>[-3,5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,-1,-5,3]=>[3,-5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,2,-1,-5,-3]=>[-3,-5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,1,5,3]=>[3,5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,1,5,-3]=>[-3,5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,1,-5,3]=>[3,-5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,1,-5,-3]=>[-3,-5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,-1,5,3]=>[3,5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,-1,5,-3]=>[-3,5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-4,-2,-1,-5,3]=>[3,-5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
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[4,-2,3,1,5]=>[5,1,3,-2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,-2,3,1,-5]=>[-5,1,3,-2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
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[4,-2,3,-1,-5]=>[-5,-1,3,-2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
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[4,-2,-3,1,-5]=>[-5,1,-3,-2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
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[-4,2,3,-1,-5]=>[-5,-1,3,2,-4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[-4,2,-3,1,5]=>[5,1,-3,2,-4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
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[-4,-2,3,1,5]=>[5,1,3,-2,-4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[-4,-2,3,1,-5]=>[-5,1,3,-2,-4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
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[-4,3,1,-2,5]=>[5,-2,1,3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,3,1,-2,-5]=>[-5,-2,1,3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
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[-4,3,-1,2,-5]=>[-5,2,-1,3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,3,-1,-2,5]=>[5,-2,-1,3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,3,-1,-2,-5]=>[-5,-2,-1,3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-3,1,2,5]=>[5,2,1,-3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-3,1,2,-5]=>[-5,2,1,-3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-3,1,-2,5]=>[5,-2,1,-3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-3,1,-2,-5]=>[-5,-2,1,-3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[-4,-3,-1,2,5]=>[5,2,-1,-3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
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[-4,-3,-1,-2,5]=>[5,-2,-1,-3,-4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
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[4,3,1,-5,2]=>[2,-5,1,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,-5,-2]=>[-2,-5,1,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,-1,5,2]=>[2,5,-1,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
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[4,-3,1,5,2]=>[2,5,1,-3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
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[4,-3,1,-5,2]=>[2,-5,1,-3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-3,1,-5,-2]=>[-2,-5,1,-3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-3,-1,5,2]=>[2,5,-1,-3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-3,-1,5,-2]=>[-2,5,-1,-3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,-3,-1,-5,2]=>[2,-5,-1,-3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
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[-4,-3,1,5,2]=>[2,5,1,-3,-4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
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[-5,1,3,-4,2]=>[2,-4,3,1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,1,3,-4,-2]=>[-2,-4,3,1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,1,-3,4,2]=>[2,4,-3,1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,1,-3,4,-2]=>[-2,4,-3,1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,1,-3,-4,2]=>[2,-4,-3,1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,1,-3,-4,-2]=>[-2,-4,-3,1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,3,4,2]=>[2,4,3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,3,4,-2]=>[-2,4,3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,3,-4,2]=>[2,-4,3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,3,-4,-2]=>[-2,-4,3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,-3,4,2]=>[2,4,-3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,-3,4,-2]=>[-2,4,-3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,-3,-4,2]=>[2,-4,-3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-5,-1,-3,-4,-2]=>[-2,-4,-3,-1,-5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,1,4,2,3]=>[3,2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,2,-3]=>[-3,2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,-2,3]=>[3,-2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,-2,-3]=>[-3,-2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,-4,2,3]=>[3,2,-4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,-4,2,-3]=>[-3,2,-4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,-4,-2,3]=>[3,-2,-4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,-4,-2,-3]=>[-3,-2,-4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,4,2,3]=>[3,2,4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,4,2,-3]=>[-3,2,4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,4,-2,3]=>[3,-2,4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,4,-2,-3]=>[-3,-2,4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,-4,2,3]=>[3,2,-4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,-4,2,-3]=>[-3,2,-4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,-4,-2,3]=>[3,-2,-4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,-1,-4,-2,-3]=>[-3,-2,-4,-1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,4,2,3]=>[3,2,4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,4,2,-3]=>[-3,2,4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,4,-2,3]=>[3,-2,4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,4,-2,-3]=>[-3,-2,4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,-4,2,3]=>[3,2,-4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,-4,2,-3]=>[-3,2,-4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,-4,-2,3]=>[3,-2,-4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,1,-4,-2,-3]=>[-3,-2,-4,1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,4,2,3]=>[3,2,4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,4,2,-3]=>[-3,2,4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,4,-2,3]=>[3,-2,4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,4,-2,-3]=>[-3,-2,4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,-4,2,3]=>[3,2,-4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,-4,2,-3]=>[-3,2,-4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,-4,-2,3]=>[3,-2,-4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-5,-1,-4,-2,-3]=>[-3,-2,-4,-1,-5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,3,2]=>[2,3,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,4,3,-2]=>[-2,3,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,4,-3,2]=>[2,-3,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,4,-3,-2]=>[-2,-3,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,-4,3,2]=>[2,3,-4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,-4,3,-2]=>[-2,3,-4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,-4,-3,2]=>[2,-3,-4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,-4,-3,-2]=>[-2,-3,-4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,4,3,2]=>[2,3,4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,4,3,-2]=>[-2,3,4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,4,-3,2]=>[2,-3,4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,4,-3,-2]=>[-2,-3,4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,-4,3,2]=>[2,3,-4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,-4,3,-2]=>[-2,3,-4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,-4,-3,2]=>[2,-3,-4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,-1,-4,-3,-2]=>[-2,-3,-4,-1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,4,3,2]=>[2,3,4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,4,3,-2]=>[-2,3,4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,4,-3,2]=>[2,-3,4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,4,-3,-2]=>[-2,-3,4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,-4,3,2]=>[2,3,-4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,-4,3,-2]=>[-2,3,-4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,-4,-3,2]=>[2,-3,-4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,1,-4,-3,-2]=>[-2,-3,-4,1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,4,3,2]=>[2,3,4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,4,3,-2]=>[-2,3,4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,4,-3,2]=>[2,-3,4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,4,-3,-2]=>[-2,-3,4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,-4,3,2]=>[2,3,-4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,-4,3,-2]=>[-2,3,-4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,-4,-3,2]=>[2,-3,-4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-5,-1,-4,-3,-2]=>[-2,-3,-4,-1,-5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,2,1,3,4]=>[4,3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,3,-4]=>[-4,3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,-3,4]=>[4,-3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,-3,-4]=>[-4,-3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,-1,3,4]=>[4,3,-1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,-1,3,-4]=>[-4,3,-1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,-1,-3,4]=>[4,-3,-1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,-1,-3,-4]=>[-4,-3,-1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,1,3,4]=>[4,3,1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,1,3,-4]=>[-4,3,1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,1,-3,4]=>[4,-3,1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,1,-3,-4]=>[-4,-3,1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,-1,3,4]=>[4,3,-1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,-1,3,-4]=>[-4,3,-1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,-1,-3,4]=>[4,-3,-1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,-2,-1,-3,-4]=>[-4,-3,-1,-2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,1,3,4]=>[4,3,1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,1,3,-4]=>[-4,3,1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,1,-3,4]=>[4,-3,1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,1,-3,-4]=>[-4,-3,1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,-1,3,4]=>[4,3,-1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,-1,3,-4]=>[-4,3,-1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,-1,-3,4]=>[4,-3,-1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,2,-1,-3,-4]=>[-4,-3,-1,2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,1,3,4]=>[4,3,1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,1,3,-4]=>[-4,3,1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,1,-3,4]=>[4,-3,1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,1,-3,-4]=>[-4,-3,1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,-1,3,4]=>[4,3,-1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,-1,3,-4]=>[-4,3,-1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,-1,-3,4]=>[4,-3,-1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[-5,-2,-1,-3,-4]=>[-4,-3,-1,-2,-5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,4,3]=>[3,4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,1,4,-3]=>[-3,4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,1,-4,3]=>[3,-4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,1,-4,-3]=>[-3,-4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,-1,4,3]=>[3,4,-1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,-1,4,-3]=>[-3,4,-1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,-1,-4,3]=>[3,-4,-1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,-1,-4,-3]=>[-3,-4,-1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,1,4,3]=>[3,4,1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,1,4,-3]=>[-3,4,1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,1,-4,3]=>[3,-4,1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,1,-4,-3]=>[-3,-4,1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,-1,4,3]=>[3,4,-1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,-1,4,-3]=>[-3,4,-1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,-1,-4,3]=>[3,-4,-1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,-2,-1,-4,-3]=>[-3,-4,-1,-2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,1,4,3]=>[3,4,1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,1,4,-3]=>[-3,4,1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,1,-4,3]=>[3,-4,1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,1,-4,-3]=>[-3,-4,1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,-1,4,3]=>[3,4,-1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,-1,4,-3]=>[-3,4,-1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,-1,-4,3]=>[3,-4,-1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,2,-1,-4,-3]=>[-3,-4,-1,2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,1,4,3]=>[3,4,1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,1,4,-3]=>[-3,4,1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,1,-4,3]=>[3,-4,1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,1,-4,-3]=>[-3,-4,1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,-1,4,3]=>[3,4,-1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,-1,4,-3]=>[-3,4,-1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,-1,-4,3]=>[3,-4,-1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[-5,-2,-1,-4,-3]=>[-3,-4,-1,-2,-5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,3,1,4]=>[4,1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,1,-4]=>[-4,1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,-1,4]=>[4,-1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,-1,-4]=>[-4,-1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,-3,1,4]=>[4,1,-3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,-3,1,-4]=>[-4,1,-3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,-3,-1,4]=>[4,-1,-3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,-3,-1,-4]=>[-4,-1,-3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,3,1,4]=>[4,1,3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,3,1,-4]=>[-4,1,3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,3,-1,4]=>[4,-1,3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,3,-1,-4]=>[-4,-1,3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,-3,1,4]=>[4,1,-3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,-3,1,-4]=>[-4,1,-3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,-3,-1,4]=>[4,-1,-3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,-2,-3,-1,-4]=>[-4,-1,-3,-2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[-5,2,3,1,4]=>[4,1,3,2,-5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[-5,2,3,1,-4]=>[-4,1,3,2,-5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[-5,2,3,-1,4]=>[4,-1,3,2,-5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[-5,2,3,-1,-4]=>[-4,-1,3,2,-5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
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[-5,2,-3,1,-4]=>[-4,1,-3,2,-5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
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[-5,4,-3,2,-1]=>[-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]=>[.,[.,[.,[.,[.,.]]]]]
[-5,4,-3,-2,-1]=>[-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]=>[.,[.,[.,[.,[.,.]]]]]
[-5,-4,3,2,-1]=>[-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]=>[.,[.,[.,[.,[.,.]]]]]
[-5,-4,3,-2,-1]=>[-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]=>[.,[.,[.,[.,[.,.]]]]]
[-5,-4,-3,2,-1]=>[-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]=>[.,[.,[.,[.,[.,.]]]]]
[-5,-4,-3,-2,-1]=>[-1,-2,-3,-4,-5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,-6,-5,-4,-3,1]=>[1,-3,-4,-5,-6,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,3,2,1,-6]=>[-6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,3,1,2,-6]=>[-6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,1,3,2,-6]=>[-6,2,3,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,2,1,3,-6]=>[-6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,2,1,4,3,-6]=>[-6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,2,1,4,-6]=>[-6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,2,1,3,5,-6]=>[-6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[2,1,4,3,5,-6]=>[-6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[3,2,1,6,5,-4]=>[-4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,6,-5]=>[-5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,1,2,6,-5]=>[-5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[1,-3,-4,-5,-6,2]=>[2,-6,-5,-4,-3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[3,2,5,4,1,-6]=>[-6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,4,3,1,2,-5]=>[-5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,4,1,-6]=>[-6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,5,2,1,-6]=>[-6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,2,5,1,-6]=>[-6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,4,1,5,-6]=>[-6,5,1,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,3,2,1,-5]=>[-5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,2,1,3,-5]=>[-5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,6,2,1,-4]=>[-4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,2,1,6,-4]=>[-4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,3,6,-4]=>[-4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,2,1,6,3,-4]=>[-4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,6,1,3,-4]=>[-4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,1,4,2,-5]=>[-5,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,1,-4,6,2,-3]=>[-3,2,6,-4,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,-5,-4,-3,-2]=>[-2,-3,-4,-5,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,3,1,-2,-5,-4]=>[-4,-5,-2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[1,-6,3,2,5,4]=>[4,5,2,3,-6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,-6,4,3,5,2]=>[2,5,3,4,-6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,-6,5,4,3,2]=>[2,3,4,5,-6,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,-6,5,4,3]=>[3,4,5,-6,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,1,3,-6,5,4]=>[4,5,-6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,-6,5,4]=>[4,5,-6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,-6,5]=>[5,-6,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,1,-4,-5,-6,2]=>[2,-6,-5,-4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[6,5,4,3,1,-2]=>[-2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,2,1,6,3,-5]=>[-5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,4,2,1,-3]=>[-3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,3,2,1,5,-4]=>[-4,5,1,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,3,2,1,-4]=>[-4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,3,-6,2,1]=>[1,2,-6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,4,-2]=>[-2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,4,3,1,6,-2]=>[-2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,6,5,1,-2]=>[-2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,4,6,3,1,-2]=>[-2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,2,6,5,1,-4]=>[-4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,5,2,1,3,-4]=>[-4,3,1,2,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,2,1,5,3,-4]=>[-4,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,3,-6]=>[-6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,2,5,1,-4]=>[-4,1,5,2,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,1,6,5,3,-4]=>[-4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,-4,-3,-2]=>[-2,-3,-4,6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,3,6,-4,1,-2]=>[-2,1,-4,6,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,4,3,5,1,-2]=>[-2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,1,-6,-5,2]=>[2,-5,-6,1,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,-4,2,-6,5]=>[5,-6,2,-4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,-5,4,2,-6,3]=>[3,-6,2,4,-5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,1,-6,4,2,3]=>[3,2,4,-6,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,-5,2,-4,-6,3]=>[3,-6,-4,2,-5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,-6,5,2,-4,3]=>[3,-4,2,5,-6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,4,-6,3]=>[3,-6,4,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,-5,2,-4,3]=>[3,-4,2,-5,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,2,-6,1,5,4]=>[4,5,1,-6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,1,-2,-5,4]=>[4,-5,-2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,-3,-5,2]=>[2,-5,-3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,-6,2,4]=>[4,2,-6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,-6,5,4,1,3]=>[3,1,4,5,-6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[4,1,5,-3,2,6]=>[6,2,-3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,3,1,-4,2,6]=>[6,2,-4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,-3,-5,-2]=>[-2,-5,-3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,2,1,3,7,-6]=>[-6,7,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,3,2,1,6,7,-5]=>[-5,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,1,-6,2,5,4]=>[4,5,2,-6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,3,-6,2,5]=>[5,2,-6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
Map
reverse
Description
The reversal of a signed permutation.
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.
searching the database
Sorry, this map was not found in the database.