************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
*                                                                      *
*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
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*    This information is distributed in the hope that it will be       *
*    useful, but WITHOUT ANY WARRANTY; without even the implied        *
*    warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  *
************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00270

------------------------------------------------------------------------
Map name: negatives to flag negatives

------------------------------------------------------------------------
Domain: Signed permutations

------------------------------------------------------------------------
Codomain: Signed permutations

------------------------------------------------------------------------
Description: A map sending the number of negative entries to the number of flag negative entries.

For a signed permutation $\pi\in\mathfrak H_n$, a flag negative entry is a positive entry followed by a negative entry in the sequence $\pi(-n),\dots,\pi(-1),\pi(1),\dots,\pi(n)$, see [[St001870]].

This map leaves the underlying permutation intact, and uses [[Mp00268]] on the sequence of signs.

------------------------------------------------------------------------
References: [1]   Corteel, S., Josuat-Vergès, M., Kim, J. S. Crossings of signed permutations and $q$-Eulerian numbers of type $B$ [[MathSciNet:3096133]]

------------------------------------------------------------------------
Code:

def mp00268(w):
    n = len(w)
    zeros = [-1] + [i for i in range(n) if w[i] == 0]
    zeros = [zeros[i] - zeros[i-1] - 1 for i in range(1, len(zeros))]
    result = []
    letter = 1
    for b in zeros:
        result += [letter]*b
        if letter == 0:
            result += [0, 1]
        letter = 1 - letter
    result += [letter]*(n-len(result))
    return Words([0,1])(reversed(result))

def mapping(pi):
    w = pi.permutation()
    s = mp00268([1 if p > 0 else 0 for p in pi])
    return SignedPermutation([p if e else -p for e, p in zip(s, w)])


------------------------------------------------------------------------
Map images:

[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]
[-3,-1,-2,-4]    => [3,-1,2,-4]
[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]
[3,2,1,4]        => [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]
[3,2,4,1]        => [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]
[3,4,1,2]        => [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]
[3,4,2,1]        => [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]
[4,1,2,3]        => [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]
[4,1,3,2]        => [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]
[4,2,1,3]        => [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]
[4,2,3,1]        => [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]
[4,3,1,2]        => [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]
[4,3,2,1]        => [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]
[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]
[1,2,3,5,4]      => [1,2,3,5,4]
[1,2,3,5,-4]     => [-1,2,3,5,4]
[1,2,3,-5,4]     => [-1,-2,3,5,4]
[1,2,3,-5,-4]    => [1,-2,3,5,4]
[1,2,-3,5,4]     => [-1,-2,-3,5,4]
[1,2,-3,5,-4]    => [1,-2,-3,5,4]
[1,2,-3,-5,4]    => [1,2,-3,5,4]
[1,2,-3,-5,-4]   => [-1,2,-3,5,4]
[1,-2,3,5,4]     => [-1,-2,-3,-5,4]
[1,-2,3,5,-4]    => [1,-2,-3,-5,4]
[1,-2,3,-5,4]    => [1,2,-3,-5,4]
[1,-2,3,-5,-4]   => [-1,2,-3,-5,4]
[1,-2,-3,5,4]    => [1,2,3,-5,4]
[1,-2,-3,5,-4]   => [-1,2,3,-5,4]
[1,-2,-3,-5,4]   => [-1,-2,3,-5,4]
[1,-2,-3,-5,-4]  => [1,-2,3,-5,4]
[-1,2,3,5,4]     => [-1,-2,-3,-5,-4]
[-1,2,3,5,-4]    => [1,-2,-3,-5,-4]
[-1,2,3,-5,4]    => [1,2,-3,-5,-4]
[-1,2,3,-5,-4]   => [-1,2,-3,-5,-4]
[-1,2,-3,5,4]    => [1,2,3,-5,-4]
[-1,2,-3,5,-4]   => [-1,2,3,-5,-4]
[-1,2,-3,-5,4]   => [-1,-2,3,-5,-4]
[-1,2,-3,-5,-4]  => [1,-2,3,-5,-4]
[-1,-2,3,5,4]    => [1,2,3,5,-4]
[-1,-2,3,5,-4]   => [-1,2,3,5,-4]
[-1,-2,3,-5,4]   => [-1,-2,3,5,-4]
[-1,-2,3,-5,-4]  => [1,-2,3,5,-4]
[-1,-2,-3,5,4]   => [-1,-2,-3,5,-4]
[-1,-2,-3,5,-4]  => [1,-2,-3,5,-4]
[-1,-2,-3,-5,4]  => [1,2,-3,5,-4]
[-1,-2,-3,-5,-4] => [-1,2,-3,5,-4]
[1,2,4,3,5]      => [1,2,4,3,5]
[1,2,4,3,-5]     => [-1,2,4,3,5]
[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]
[1,2,4,5,3]      => [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,-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,-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]
[1,2,5,3,4]      => [1,2,5,3,4]
[1,2,5,3,-4]     => [-1,2,5,3,4]
[1,2,5,-3,4]     => [-1,-2,5,3,4]
[1,2,5,-3,-4]    => [1,-2,5,3,4]
[1,2,-5,3,4]     => [-1,-2,-5,3,4]
[1,2,-5,3,-4]    => [1,-2,-5,3,4]
[1,2,-5,-3,4]    => [1,2,-5,3,4]
[1,2,-5,-3,-4]   => [-1,2,-5,3,4]
[1,-2,5,3,4]     => [-1,-2,-5,-3,4]
[1,-2,5,3,-4]    => [1,-2,-5,-3,4]
[1,-2,5,-3,4]    => [1,2,-5,-3,4]
[1,-2,5,-3,-4]   => [-1,2,-5,-3,4]
[1,-2,-5,3,4]    => [1,2,5,-3,4]
[1,-2,-5,3,-4]   => [-1,2,5,-3,4]
[1,-2,-5,-3,4]   => [-1,-2,5,-3,4]
[1,-2,-5,-3,-4]  => [1,-2,5,-3,4]
[-1,2,5,3,4]     => [-1,-2,-5,-3,-4]
[-1,2,5,3,-4]    => [1,-2,-5,-3,-4]
[-1,2,5,-3,4]    => [1,2,-5,-3,-4]
[-1,2,5,-3,-4]   => [-1,2,-5,-3,-4]
[-1,2,-5,3,4]    => [1,2,5,-3,-4]
[-1,2,-5,3,-4]   => [-1,2,5,-3,-4]
[-1,2,-5,-3,4]   => [-1,-2,5,-3,-4]
[-1,2,-5,-3,-4]  => [1,-2,5,-3,-4]
[-1,-2,5,3,4]    => [1,2,5,3,-4]
[-1,-2,5,3,-4]   => [-1,2,5,3,-4]
[-1,-2,5,-3,4]   => [-1,-2,5,3,-4]
[-1,-2,5,-3,-4]  => [1,-2,5,3,-4]
[-1,-2,-5,3,4]   => [-1,-2,-5,3,-4]
[-1,-2,-5,3,-4]  => [1,-2,-5,3,-4]
[-1,-2,-5,-3,4]  => [1,2,-5,3,-4]
[-1,-2,-5,-3,-4] => [-1,2,-5,3,-4]
[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]
[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]
[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]
[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,-4,2,-5]
[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]
[1,3,5,2,4]      => [1,3,5,2,4]
[1,3,5,2,-4]     => [-1,3,5,2,4]
[1,3,5,-2,4]     => [-1,-3,5,2,4]
[1,3,5,-2,-4]    => [1,-3,5,2,4]
[1,3,-5,2,4]     => [-1,-3,-5,2,4]
[1,3,-5,2,-4]    => [1,-3,-5,2,4]
[1,3,-5,-2,4]    => [1,3,-5,2,4]
[1,3,-5,-2,-4]   => [-1,3,-5,2,4]
[1,-3,5,2,4]     => [-1,-3,-5,-2,4]
[1,-3,5,2,-4]    => [1,-3,-5,-2,4]
[1,-3,5,-2,4]    => [1,3,-5,-2,4]
[1,-3,5,-2,-4]   => [-1,3,-5,-2,4]
[1,-3,-5,2,4]    => [1,3,5,-2,4]
[1,-3,-5,2,-4]   => [-1,3,5,-2,4]
[1,-3,-5,-2,4]   => [-1,-3,5,-2,4]
[1,-3,-5,-2,-4]  => [1,-3,5,-2,4]
[-1,3,5,2,4]     => [-1,-3,-5,-2,-4]
[-1,3,5,2,-4]    => [1,-3,-5,-2,-4]
[-1,3,5,-2,4]    => [1,3,-5,-2,-4]
[-1,3,5,-2,-4]   => [-1,3,-5,-2,-4]
[-1,3,-5,2,4]    => [1,3,5,-2,-4]
[-1,3,-5,2,-4]   => [-1,3,5,-2,-4]
[-1,3,-5,-2,4]   => [-1,-3,5,-2,-4]
[-1,3,-5,-2,-4]  => [1,-3,5,-2,-4]
[-1,-3,5,2,4]    => [1,3,5,2,-4]
[-1,-3,5,2,-4]   => [-1,3,5,2,-4]
[-1,-3,5,-2,4]   => [-1,-3,5,2,-4]
[-1,-3,5,-2,-4]  => [1,-3,5,2,-4]
[-1,-3,-5,2,4]   => [-1,-3,-5,2,-4]
[-1,-3,-5,2,-4]  => [1,-3,-5,2,-4]
[-1,-3,-5,-2,4]  => [1,3,-5,2,-4]
[-1,-3,-5,-2,-4] => [-1,3,-5,2,-4]
[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]
[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,-2,3,5]
[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,-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,-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,-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]    => [1,4,2,3,-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,-2,3,-5]
[-1,-4,-2,-3,5]  => [1,4,-2,3,-5]
[-1,-4,-2,-3,-5] => [-1,4,-2,3,-5]
[1,4,2,5,3]      => [1,4,2,5,3]
[1,4,2,5,-3]     => [-1,4,2,5,3]
[1,4,2,-5,3]     => [-1,-4,2,5,3]
[1,4,2,-5,-3]    => [1,-4,2,5,3]
[1,4,-2,5,3]     => [-1,-4,-2,5,3]
[1,4,-2,5,-3]    => [1,-4,-2,5,3]
[1,4,-2,-5,3]    => [1,4,-2,5,3]
[1,4,-2,-5,-3]   => [-1,4,-2,5,3]
[1,-4,2,5,3]     => [-1,-4,-2,-5,3]
[1,-4,2,5,-3]    => [1,-4,-2,-5,3]
[1,-4,2,-5,3]    => [1,4,-2,-5,3]
[1,-4,2,-5,-3]   => [-1,4,-2,-5,3]
[1,-4,-2,5,3]    => [1,4,2,-5,3]
[1,-4,-2,5,-3]   => [-1,4,2,-5,3]
[1,-4,-2,-5,3]   => [-1,-4,2,-5,3]
[1,-4,-2,-5,-3]  => [1,-4,2,-5,3]
[-1,4,2,5,3]     => [-1,-4,-2,-5,-3]
[-1,4,2,5,-3]    => [1,-4,-2,-5,-3]
[-1,4,2,-5,3]    => [1,4,-2,-5,-3]
[-1,4,2,-5,-3]   => [-1,4,-2,-5,-3]
[-1,4,-2,5,3]    => [1,4,2,-5,-3]
[-1,4,-2,5,-3]   => [-1,4,2,-5,-3]
[-1,4,-2,-5,3]   => [-1,-4,2,-5,-3]
[-1,4,-2,-5,-3]  => [1,-4,2,-5,-3]
[-1,-4,2,5,3]    => [1,4,2,5,-3]
[-1,-4,2,5,-3]   => [-1,4,2,5,-3]
[-1,-4,2,-5,3]   => [-1,-4,2,5,-3]
[-1,-4,2,-5,-3]  => [1,-4,2,5,-3]
[-1,-4,-2,5,3]   => [-1,-4,-2,5,-3]
[-1,-4,-2,5,-3]  => [1,-4,-2,5,-3]
[-1,-4,-2,-5,3]  => [1,4,-2,5,-3]
[-1,-4,-2,-5,-3] => [-1,4,-2,5,-3]
[1,4,3,2,5]      => [1,4,3,2,5]
[1,4,3,2,-5]     => [-1,4,3,2,5]
[1,4,3,-2,5]     => [-1,-4,3,2,5]
[1,4,3,-2,-5]    => [1,-4,3,2,5]
[1,4,-3,2,5]     => [-1,-4,-3,2,5]
[1,4,-3,2,-5]    => [1,-4,-3,2,5]
[1,4,-3,-2,5]    => [1,4,-3,2,5]
[1,4,-3,-2,-5]   => [-1,4,-3,2,5]
[1,-4,3,2,5]     => [-1,-4,-3,-2,5]
[1,-4,3,2,-5]    => [1,-4,-3,-2,5]
[1,-4,3,-2,5]    => [1,4,-3,-2,5]
[1,-4,3,-2,-5]   => [-1,4,-3,-2,5]
[1,-4,-3,2,5]    => [1,4,3,-2,5]
[1,-4,-3,2,-5]   => [-1,4,3,-2,5]
[1,-4,-3,-2,5]   => [-1,-4,3,-2,5]
[1,-4,-3,-2,-5]  => [1,-4,3,-2,5]
[-1,4,3,2,5]     => [-1,-4,-3,-2,-5]
[-1,4,3,2,-5]    => [1,-4,-3,-2,-5]
[-1,4,3,-2,5]    => [1,4,-3,-2,-5]
[-1,4,3,-2,-5]   => [-1,4,-3,-2,-5]
[-1,4,-3,2,5]    => [1,4,3,-2,-5]
[-1,4,-3,2,-5]   => [-1,4,3,-2,-5]
[-1,4,-3,-2,5]   => [-1,-4,3,-2,-5]
[-1,4,-3,-2,-5]  => [1,-4,3,-2,-5]
[-1,-4,3,2,5]    => [1,4,3,2,-5]
[-1,-4,3,2,-5]   => [-1,4,3,2,-5]
[-1,-4,3,-2,5]   => [-1,-4,3,2,-5]
[-1,-4,3,-2,-5]  => [1,-4,3,2,-5]
[-1,-4,-3,2,5]   => [-1,-4,-3,2,-5]
[-1,-4,-3,2,-5]  => [1,-4,-3,2,-5]
[-1,-4,-3,-2,5]  => [1,4,-3,2,-5]
[-1,-4,-3,-2,-5] => [-1,4,-3,2,-5]
[1,4,3,5,2]      => [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]
[-1,4,3,5,-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]
[1,4,5,2,3]      => [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]
[1,4,5,3,2]      => [1,4,5,3,2]
[1,4,5,3,-2]     => [-1,4,5,3,2]
[1,4,5,-3,2]     => [-1,-4,5,3,2]
[1,4,5,-3,-2]    => [1,-4,5,3,2]
[1,4,-5,3,2]     => [-1,-4,-5,3,2]
[1,4,-5,3,-2]    => [1,-4,-5,3,2]
[1,4,-5,-3,2]    => [1,4,-5,3,2]
[1,4,-5,-3,-2]   => [-1,4,-5,3,2]
[1,-4,5,3,2]     => [-1,-4,-5,-3,2]
[1,-4,5,3,-2]    => [1,-4,-5,-3,2]
[1,-4,5,-3,2]    => [1,4,-5,-3,2]
[1,-4,5,-3,-2]   => [-1,4,-5,-3,2]
[1,-4,-5,3,2]    => [1,4,5,-3,2]
[1,-4,-5,3,-2]   => [-1,4,5,-3,2]
[1,-4,-5,-3,2]   => [-1,-4,5,-3,2]
[1,-4,-5,-3,-2]  => [1,-4,5,-3,2]
[-1,4,5,3,2]     => [-1,-4,-5,-3,-2]
[-1,4,5,3,-2]    => [1,-4,-5,-3,-2]
[-1,4,5,-3,2]    => [1,4,-5,-3,-2]
[-1,4,5,-3,-2]   => [-1,4,-5,-3,-2]
[-1,4,-5,3,2]    => [1,4,5,-3,-2]
[-1,4,-5,3,-2]   => [-1,4,5,-3,-2]
[-1,4,-5,-3,2]   => [-1,-4,5,-3,-2]
[-1,4,-5,-3,-2]  => [1,-4,5,-3,-2]
[-1,-4,5,3,2]    => [1,4,5,3,-2]
[-1,-4,5,3,-2]   => [-1,4,5,3,-2]
[-1,-4,5,-3,2]   => [-1,-4,5,3,-2]
[-1,-4,5,-3,-2]  => [1,-4,5,3,-2]
[-1,-4,-5,3,2]   => [-1,-4,-5,3,-2]
[-1,-4,-5,3,-2]  => [1,-4,-5,3,-2]
[-1,-4,-5,-3,2]  => [1,4,-5,3,-2]
[-1,-4,-5,-3,-2] => [-1,4,-5,3,-2]
[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]
[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]
[-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]
[-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]
[1,5,2,4,3]      => [1,5,2,4,3]
[1,5,2,4,-3]     => [-1,5,2,4,3]
[1,5,2,-4,3]     => [-1,-5,2,4,3]
[1,5,2,-4,-3]    => [1,-5,2,4,3]
[1,5,-2,4,3]     => [-1,-5,-2,4,3]
[1,5,-2,4,-3]    => [1,-5,-2,4,3]
[1,5,-2,-4,3]    => [1,5,-2,4,3]
[1,5,-2,-4,-3]   => [-1,5,-2,4,3]
[1,-5,2,4,3]     => [-1,-5,-2,-4,3]
[1,-5,2,4,-3]    => [1,-5,-2,-4,3]
[1,-5,2,-4,3]    => [1,5,-2,-4,3]
[1,-5,2,-4,-3]   => [-1,5,-2,-4,3]
[1,-5,-2,4,3]    => [1,5,2,-4,3]
[1,-5,-2,4,-3]   => [-1,5,2,-4,3]
[1,-5,-2,-4,3]   => [-1,-5,2,-4,3]
[1,-5,-2,-4,-3]  => [1,-5,2,-4,3]
[-1,5,2,4,3]     => [-1,-5,-2,-4,-3]
[-1,5,2,4,-3]    => [1,-5,-2,-4,-3]
[-1,5,2,-4,3]    => [1,5,-2,-4,-3]
[-1,5,2,-4,-3]   => [-1,5,-2,-4,-3]
[-1,5,-2,4,3]    => [1,5,2,-4,-3]
[-1,5,-2,4,-3]   => [-1,5,2,-4,-3]
[-1,5,-2,-4,3]   => [-1,-5,2,-4,-3]
[-1,5,-2,-4,-3]  => [1,-5,2,-4,-3]
[-1,-5,2,4,3]    => [1,5,2,4,-3]
[-1,-5,2,4,-3]   => [-1,5,2,4,-3]
[-1,-5,2,-4,3]   => [-1,-5,2,4,-3]
[-1,-5,2,-4,-3]  => [1,-5,2,4,-3]
[-1,-5,-2,4,3]   => [-1,-5,-2,4,-3]
[-1,-5,-2,4,-3]  => [1,-5,-2,4,-3]
[-1,-5,-2,-4,3]  => [1,5,-2,4,-3]
[-1,-5,-2,-4,-3] => [-1,5,-2,4,-3]
[1,5,3,2,4]      => [1,5,3,2,4]
[1,5,3,2,-4]     => [-1,5,3,2,4]
[1,5,3,-2,4]     => [-1,-5,3,2,4]
[1,5,3,-2,-4]    => [1,-5,3,2,4]
[1,5,-3,2,4]     => [-1,-5,-3,2,4]
[1,5,-3,2,-4]    => [1,-5,-3,2,4]
[1,5,-3,-2,4]    => [1,5,-3,2,4]
[1,5,-3,-2,-4]   => [-1,5,-3,2,4]
[1,-5,3,2,4]     => [-1,-5,-3,-2,4]
[1,-5,3,2,-4]    => [1,-5,-3,-2,4]
[1,-5,3,-2,4]    => [1,5,-3,-2,4]
[1,-5,3,-2,-4]   => [-1,5,-3,-2,4]
[1,-5,-3,2,4]    => [1,5,3,-2,4]
[1,-5,-3,2,-4]   => [-1,5,3,-2,4]
[1,-5,-3,-2,4]   => [-1,-5,3,-2,4]
[1,-5,-3,-2,-4]  => [1,-5,3,-2,4]
[-1,5,3,2,4]     => [-1,-5,-3,-2,-4]
[-1,5,3,2,-4]    => [1,-5,-3,-2,-4]
[-1,5,3,-2,4]    => [1,5,-3,-2,-4]
[-1,5,3,-2,-4]   => [-1,5,-3,-2,-4]
[-1,5,-3,2,4]    => [1,5,3,-2,-4]
[-1,5,-3,2,-4]   => [-1,5,3,-2,-4]
[-1,5,-3,-2,4]   => [-1,-5,3,-2,-4]
[-1,5,-3,-2,-4]  => [1,-5,3,-2,-4]
[-1,-5,3,2,4]    => [1,5,3,2,-4]
[-1,-5,3,2,-4]   => [-1,5,3,2,-4]
[-1,-5,3,-2,4]   => [-1,-5,3,2,-4]
[-1,-5,3,-2,-4]  => [1,-5,3,2,-4]
[-1,-5,-3,2,4]   => [-1,-5,-3,2,-4]
[-1,-5,-3,2,-4]  => [1,-5,-3,2,-4]
[-1,-5,-3,-2,4]  => [1,5,-3,2,-4]
[-1,-5,-3,-2,-4] => [-1,5,-3,2,-4]
[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]
[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,-4,2,-3]
[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]

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Created: Dec 04, 2022 at 20:16 by Martin Rubey

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Last Updated: Dec 04, 2022 at 20:16 by Martin Rubey