Identifier
Mp00163:
Signed permutations
—permutation⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-2
[1]=>[1]=>[.,.]
[-1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[.,[.,.]]
[1,-2]=>[1,2]=>[.,[.,.]]
[-1,2]=>[1,2]=>[.,[.,.]]
[-1,-2]=>[1,2]=>[.,[.,.]]
[2,1]=>[2,1]=>[[.,.],.]
[2,-1]=>[2,1]=>[[.,.],.]
[-2,1]=>[2,1]=>[[.,.],.]
[-2,-1]=>[2,1]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,-2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,-2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[-1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[-1,2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[-1,-2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[-1,-2,-3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[1,-3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,-3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[-1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[-1,3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[-1,-3,2]=>[1,3,2]=>[.,[[.,.],.]]
[-1,-3,-2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[2,-1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,-1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[-2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[-2,1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[-2,-1,3]=>[2,1,3]=>[[.,.],[.,.]]
[-2,-1,-3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[2,3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[2,-3,1]=>[2,3,1]=>[[.,[.,.]],.]
[2,-3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[-2,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[-2,3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[-2,-3,1]=>[2,3,1]=>[[.,[.,.]],.]
[-2,-3,-1]=>[2,3,1]=>[[.,[.,.]],.]
[3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[3,1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[3,-1,2]=>[3,1,2]=>[[.,.],[.,.]]
[3,-1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[-3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[-3,1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[-3,-1,2]=>[3,1,2]=>[[.,.],[.,.]]
[-3,-1,-2]=>[3,1,2]=>[[.,.],[.,.]]
[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[3,2,-1]=>[3,2,1]=>[[[.,.],.],.]
[3,-2,1]=>[3,2,1]=>[[[.,.],.],.]
[3,-2,-1]=>[3,2,1]=>[[[.,.],.],.]
[-3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[-3,2,-1]=>[3,2,1]=>[[[.,.],.],.]
[-3,-2,1]=>[3,2,1]=>[[[.,.],.],.]
[-3,-2,-1]=>[3,2,1]=>[[[.,.],.],.]
[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,-2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,-2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,-2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,-2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,-2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,-2,3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,-2,-3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-1,-2,-3,-4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,-2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,-2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,-2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,-2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,-2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,-2,4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,-2,-4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-1,-2,-4,-3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,-3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,-3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,-3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,-3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,-3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,-3,2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,-3,-2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-1,-3,-2,-4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,-3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,-3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,-3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,-3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,-3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,-3,4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,-3,-4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-1,-3,-4,-2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,-4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,-4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,-4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,-4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,-4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,-4,2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,-4,-2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[-1,-4,-2,-3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,-4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,-4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,-4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,-4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,-4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,-4,3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,-4,-3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-1,-4,-3,-2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,-1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,-1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,-1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,-1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,-1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,-1,3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,-1,-3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[-2,-1,-3,-4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,-1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,-1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,-1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,-1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,-1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,-1,4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,-1,-4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[-2,-1,-4,-3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,-3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,-3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,-3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,-3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,-3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,-3,1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,-3,-1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-2,-3,-1,-4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,-3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,-3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,-3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,-3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,-3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,-3,4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,-3,-4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-2,-3,-4,-1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,4,1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,4,-1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,4,-1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,-4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,-4,1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,-4,-1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,-4,-1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,4,1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,4,-1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,4,-1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,-4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,-4,1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,-4,-1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[-2,-4,-1,-3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,-4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,-4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,-4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,-4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,-4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,-4,3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,-4,-3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-2,-4,-3,-1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,1,2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,1,-2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,1,-2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,-1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,-1,2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,-1,-2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,-1,-2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,1,2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,1,-2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,1,-2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,-1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,-1,2,-4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[-3,-1,-2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
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[-3,-4,1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,1,5,-2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,1,-5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,1,-5,-2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,-1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,-1,5,-2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,-1,-5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[-3,-4,-1,-5,-2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,-2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,-2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,-2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,-2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,-4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,-2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,-2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,-2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,-2,1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,-2,-1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[-3,-4,-2,-1,-5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,-4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,-2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,-2,5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,-2,-5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[-3,-4,-2,-5,-1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,-5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,-5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,-5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,-5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,-5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,-4,-5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,-5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,-5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,4,-5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,-5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,-5,1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,-5,-1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[-3,-4,-5,-1,-2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,-5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,-5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,-4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-3,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
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[-3,-4,-5,2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-3,-4,-5,-2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[-3,-4,-5,-2,-1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,-5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,-1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,-1,2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,-1,-2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[-3,-5,-1,-2,-4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,-4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,-1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
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[3,-5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,-5,1,4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,-5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
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[-3,5,1,-4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
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[-3,-5,-1,-4,-2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,-2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,-2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,-2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,-2,-1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,-5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,-5,2,1,-4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,-5,2,-1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
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[4,-3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,-3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,-3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,-3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,-5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,-5,1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,-5,-1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[-4,-3,-5,-1,-2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,-3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
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[-4,3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
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[-4,3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,-5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,-5,2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,-5,-2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[-4,-3,-5,-2,-1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[4,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,-5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,-1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,-1,2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,-1,-2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[-4,-5,-1,-2,-3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,-1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,-1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,-1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,-1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,-1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,-1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,-1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,-5,-1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,-1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,-1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,-1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,5,-1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,-1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,-1,3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,-1,-3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[-4,-5,-1,-3,-2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,-2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,-2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,-2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,-2,1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,-2,-1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,-2,-1,-3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,-5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,-2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,-2,3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,-2,-3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[-4,-5,-2,-3,-1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
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[4,5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,-3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,-3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-3,1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,-5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
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[-4,-5,3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
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[-4,-5,-3,-1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[-4,-5,-3,-1,-2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
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[-5,-4,-1,-2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[-5,-4,-1,-2,-3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,-1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,-1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,-1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,-1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,-1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,-1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,-1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,-4,-1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,-1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,-1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,-1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,4,-1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,-1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,-1,3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,-1,-3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[-5,-4,-1,-3,-2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,-2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,-2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,-2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,-2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,-2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,-2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,-2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,-4,-2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,-2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,-2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,-2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,4,-2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-2,1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-2,-1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-2,-1,-3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,-4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,-2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,-2,3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,-2,-3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[-5,-4,-2,-3,-1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,-4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-3,1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-3,-1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[-5,-4,-3,-1,-2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,-3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,-3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,-3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,-3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,-3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,-3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,-3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,-4,-3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,-3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,-3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,-3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,4,-3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,-3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,-3,2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,-3,-2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[-5,-4,-3,-2,-1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
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.