************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* 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: Mp00194
------------------------------------------------------------------------
Map name: Foata-Han inverse
------------------------------------------------------------------------
Domain: Signed permutations
------------------------------------------------------------------------
Codomain: Signed permutations
------------------------------------------------------------------------
Description: The inverse of the Foata-Han bijection for signed permutations.
This map sends the the flag inversion number [[St001428]] to the flag major index [[St001433]]
------------------------------------------------------------------------
References: [1] Foata, D., Han, G.-N. Signed words and permutations. I. A fundamental transformation [[MathSciNet:2280171]]
------------------------------------------------------------------------
Code:
def right_to_left_factorization(w, x):
result = []
v = []
if w[-1] <= x:
for y in w:
if y <= x:
result.append((v, y))
v = []
else:
v.append(y)
else:
for y in w:
if y > x:
result.append((v, y))
v = []
else:
v.append(y)
return result
def gamma(w, x):
"""
sage: gamma([3], -2)
[3]
sage: gamma([-3, -2], 1)
[-3, -2]
sage: gamma([-2, 3, 1], -3)
[-2, 3, 1]
sage: gamma([3, -2, 1, -3, -4], 3)
[3, -2, 1, -3, -4]
"""
vy = right_to_left_factorization(w, x)
return sum([[y] + v for v, y in vy], [])
def gamma_inverse(w, x):
"""
sage: n=5;
sage: all(all(gamma_inverse(gamma(list(pi), x), x) == list(pi) for pi in SignedPermutations(n)) for x in range(-n,n+1))
True
"""
return delta(w, x+1)
def left_to_right_factorization(w, x):
"""
sage: left_to_right_factorization([3, -2], -1)
[(3, [-2])]
"""
result = []
v = []
y0 = None
if w[0] >= x:
for y in w:
if y >= x:
if y0 is not None:
result.append((y0, v))
y0 = y
v = []
else:
v.append(y)
else:
for y in w:
if y < x:
if y0 is not None:
result.append((y0, v))
y0 = y
v = []
else:
v.append(y)
if y0 is not None:
result.append((y0, v))
return result
def delta(w, x):
"""
sage: delta([-3], 2)
[-3]
sage: delta([3, -2], -1)
[-2, 3]
sage: delta([-2, 3, 1], 3)
[3, -2, 1]
sage: delta([3, -2, 1, -3, -4], -3)
[3, -2, 1, -4, -3]
"""
yv = left_to_right_factorization(w, x)
return sum([v + [y] for y, v in yv], [])
def delta_inverse(w, x):
"""
sage: n=5;
sage: all(all(delta_inverse(delta(list(pi), x), x) == list(pi) for pi in SignedPermutations(n)) for x in range(-n,n+1))
True
"""
return gamma(w, x-1)
def s1(w):
return [-w[0]] + w[1:]
def Psi_inverse(w):
if len(w) <= 1:
return w
x = w.pop()
v_prime = delta_inverse(w, -x)
z1 = v_prime[0]
if -x <= z1 <= x or x < z1 < -x:
return Psi_inverse(gamma_inverse(delta_inverse(w, -x), x)) + [x]
return Psi_inverse(gamma_inverse(s1(delta_inverse(w, -x)), x)) + [x]
def mapping(pi):
return pi.parent()(Psi_inverse(list(pi)))
------------------------------------------------------------------------
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] => [-3,1,2]
[1,3,-2] => [1,-3,-2]
[1,-3,2] => [1,3,2]
[1,-3,-2] => [3,1,-2]
[-1,3,2] => [-3,-1,2]
[-1,3,-2] => [-1,-3,-2]
[-1,-3,2] => [-1,3,2]
[-1,-3,-2] => [3,-1,-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] => [-3,-2,1]
[2,3,-1] => [-3,-2,-1]
[2,-3,1] => [-3,2,1]
[2,-3,-1] => [-3,2,-1]
[-2,3,1] => [3,-2,1]
[-2,3,-1] => [3,-2,-1]
[-2,-3,1] => [3,2,1]
[-2,-3,-1] => [3,2,-1]
[3,1,2] => [3,1,2]
[3,1,-2] => [1,3,-2]
[3,-1,2] => [3,-1,2]
[3,-1,-2] => [-1,3,-2]
[-3,1,2] => [1,-3,2]
[-3,1,-2] => [-3,1,-2]
[-3,-1,2] => [-1,-3,2]
[-3,-1,-2] => [-3,-1,-2]
[3,2,1] => [2,-3,1]
[3,2,-1] => [2,-3,-1]
[3,-2,1] => [2,3,1]
[3,-2,-1] => [2,3,-1]
[-3,2,1] => [-2,-3,1]
[-3,2,-1] => [-2,-3,-1]
[-3,-2,1] => [-2,3,1]
[-3,-2,-1] => [-2,3,-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] => [-4,1,2,3]
[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,-2,4,3] => [1,-4,-2,3]
[1,-2,4,-3] => [1,-2,-4,-3]
[1,-2,-4,3] => [1,-2,4,3]
[1,-2,-4,-3] => [4,1,-2,-3]
[-1,2,4,3] => [-4,-1,2,3]
[-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,-2,4,3] => [-1,-4,-2,3]
[-1,-2,4,-3] => [-1,-2,-4,-3]
[-1,-2,-4,3] => [-1,-2,4,3]
[-1,-2,-4,-3] => [4,-1,-2,-3]
[1,3,2,4] => [-3,1,2,4]
[1,3,2,-4] => [-3,1,2,-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] => [3,1,-2,4]
[1,-3,-2,-4] => [3,1,-2,-4]
[-1,3,2,4] => [-3,-1,2,4]
[-1,3,2,-4] => [-3,-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] => [3,-1,-2,4]
[-1,-3,-2,-4] => [3,-1,-2,-4]
[1,3,4,2] => [-4,-3,1,2]
[1,3,4,-2] => [1,-4,-3,-2]
[1,3,-4,2] => [-4,1,3,2]
[1,3,-4,-2] => [1,-4,3,-2]
[1,-3,4,2] => [1,4,-3,2]
[1,-3,4,-2] => [4,1,-3,-2]
[1,-3,-4,2] => [1,4,3,2]
[1,-3,-4,-2] => [4,3,1,-2]
[-1,3,4,2] => [-4,-3,-1,2]
[-1,3,4,-2] => [-1,-4,-3,-2]
[-1,3,-4,2] => [-4,-1,3,2]
[-1,3,-4,-2] => [-1,-4,3,-2]
[-1,-3,4,2] => [-1,4,-3,2]
[-1,-3,4,-2] => [4,-1,-3,-2]
[-1,-3,-4,2] => [-1,4,3,2]
[-1,-3,-4,-2] => [4,3,-1,-2]
[1,4,2,3] => [4,1,2,3]
[1,4,2,-3] => [1,2,4,-3]
[1,4,-2,3] => [1,4,-2,3]
[1,4,-2,-3] => [1,-2,4,-3]
[1,-4,2,3] => [1,2,-4,3]
[1,-4,2,-3] => [1,-4,2,-3]
[1,-4,-2,3] => [1,-2,-4,3]
[1,-4,-2,-3] => [-4,1,-2,-3]
[-1,4,2,3] => [4,-1,2,3]
[-1,4,2,-3] => [-1,2,4,-3]
[-1,4,-2,3] => [-1,4,-2,3]
[-1,4,-2,-3] => [-1,-2,4,-3]
[-1,-4,2,3] => [-1,2,-4,3]
[-1,-4,2,-3] => [-1,-4,2,-3]
[-1,-4,-2,3] => [-1,-2,-4,3]
[-1,-4,-2,-3] => [-4,-1,-2,-3]
[1,4,3,2] => [3,-4,1,2]
[1,4,3,-2] => [1,3,-4,-2]
[1,4,-3,2] => [1,3,4,2]
[1,4,-3,-2] => [3,1,4,-2]
[1,-4,3,2] => [-3,1,-4,2]
[1,-4,3,-2] => [1,-3,-4,-2]
[1,-4,-3,2] => [1,-3,4,2]
[1,-4,-3,-2] => [-3,4,1,-2]
[-1,4,3,2] => [3,-4,-1,2]
[-1,4,3,-2] => [-1,3,-4,-2]
[-1,4,-3,2] => [-1,3,4,2]
[-1,4,-3,-2] => [3,-1,4,-2]
[-1,-4,3,2] => [-3,-1,-4,2]
[-1,-4,3,-2] => [-1,-3,-4,-2]
[-1,-4,-3,2] => [-1,-3,4,2]
[-1,-4,-3,-2] => [-3,4,-1,-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] => [-4,-2,1,3]
[2,1,4,-3] => [-2,1,-4,-3]
[2,1,-4,3] => [-2,1,4,3]
[2,1,-4,-3] => [-4,2,1,-3]
[2,-1,4,3] => [-4,-2,-1,3]
[2,-1,4,-3] => [-2,-1,-4,-3]
[2,-1,-4,3] => [-2,-1,4,3]
[2,-1,-4,-3] => [-4,2,-1,-3]
[-2,1,4,3] => [4,-2,1,3]
[-2,1,4,-3] => [2,1,-4,-3]
[-2,1,-4,3] => [2,1,4,3]
[-2,1,-4,-3] => [4,2,1,-3]
[-2,-1,4,3] => [4,-2,-1,3]
[-2,-1,4,-3] => [2,-1,-4,-3]
[-2,-1,-4,3] => [2,-1,4,3]
[-2,-1,-4,-3] => [4,2,-1,-3]
[2,3,1,4] => [-3,-2,1,4]
[2,3,1,-4] => [-3,-2,1,-4]
[2,3,-1,4] => [-3,-2,-1,4]
[2,3,-1,-4] => [-3,-2,-1,-4]
[2,-3,1,4] => [-3,2,1,4]
[2,-3,1,-4] => [-3,2,1,-4]
[2,-3,-1,4] => [-3,2,-1,4]
[2,-3,-1,-4] => [-3,2,-1,-4]
[-2,3,1,4] => [3,-2,1,4]
[-2,3,1,-4] => [3,-2,1,-4]
[-2,3,-1,4] => [3,-2,-1,4]
[-2,3,-1,-4] => [3,-2,-1,-4]
[-2,-3,1,4] => [3,2,1,4]
[-2,-3,1,-4] => [3,2,1,-4]
[-2,-3,-1,4] => [3,2,-1,4]
[-2,-3,-1,-4] => [3,2,-1,-4]
[2,3,4,1] => [-4,-3,-2,1]
[2,3,4,-1] => [-4,-3,-2,-1]
[2,3,-4,1] => [4,2,3,1]
[2,3,-4,-1] => [4,2,3,-1]
[2,-3,4,1] => [-2,4,-3,1]
[2,-3,4,-1] => [-2,4,-3,-1]
[2,-3,-4,1] => [-4,3,2,1]
[2,-3,-4,-1] => [-4,3,2,-1]
[-2,3,4,1] => [4,-3,-2,1]
[-2,3,4,-1] => [4,-3,-2,-1]
[-2,3,-4,1] => [2,-4,3,1]
[-2,3,-4,-1] => [2,-4,3,-1]
[-2,-3,4,1] => [-4,-2,-3,1]
[-2,-3,4,-1] => [-4,-2,-3,-1]
[-2,-3,-4,1] => [4,3,2,1]
[-2,-3,-4,-1] => [4,3,2,-1]
[2,4,1,3] => [2,-4,1,3]
[2,4,1,-3] => [-2,1,4,-3]
[2,4,-1,3] => [2,-4,-1,3]
[2,4,-1,-3] => [-2,-1,4,-3]
[2,-4,1,3] => [-2,1,-4,3]
[2,-4,1,-3] => [-2,-4,1,-3]
[2,-4,-1,3] => [-2,-1,-4,3]
[2,-4,-1,-3] => [-2,-4,-1,-3]
[-2,4,1,3] => [2,4,1,3]
[-2,4,1,-3] => [2,1,4,-3]
[-2,4,-1,3] => [2,4,-1,3]
[-2,4,-1,-3] => [2,-1,4,-3]
[-2,-4,1,3] => [2,1,-4,3]
[-2,-4,1,-3] => [-2,4,1,-3]
[-2,-4,-1,3] => [2,-1,-4,3]
[-2,-4,-1,-3] => [-2,4,-1,-3]
[2,4,3,1] => [3,-4,-2,1]
[2,4,3,-1] => [3,-4,-2,-1]
[2,4,-3,1] => [-3,2,4,1]
[2,4,-3,-1] => [-3,2,4,-1]
[2,-4,3,1] => [-3,-2,-4,1]
[2,-4,3,-1] => [-3,-2,-4,-1]
[2,-4,-3,1] => [3,4,2,1]
[2,-4,-3,-1] => [3,4,2,-1]
[-2,4,3,1] => [-3,-4,-2,1]
[-2,4,3,-1] => [-3,-4,-2,-1]
[-2,4,-3,1] => [3,2,4,1]
[-2,4,-3,-1] => [3,2,4,-1]
[-2,-4,3,1] => [3,-2,-4,1]
[-2,-4,3,-1] => [3,-2,-4,-1]
[-2,-4,-3,1] => [-3,4,2,1]
[-2,-4,-3,-1] => [-3,4,2,-1]
[3,1,2,4] => [3,1,2,4]
[3,1,2,-4] => [3,1,2,-4]
[3,1,-2,4] => [1,3,-2,4]
[3,1,-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] => [-1,3,-2,4]
[3,-1,-2,-4] => [-1,3,-2,-4]
[-3,1,2,4] => [1,-3,2,4]
[-3,1,2,-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] => [-1,-3,2,4]
[-3,-1,2,-4] => [-1,-3,2,-4]
[-3,-1,-2,4] => [-3,-1,-2,4]
[-3,-1,-2,-4] => [-3,-1,-2,-4]
[3,1,4,2] => [4,-3,1,2]
[3,1,4,-2] => [1,4,-3,-2]
[3,1,-4,2] => [4,1,3,2]
[3,1,-4,-2] => [1,4,3,-2]
[3,-1,4,2] => [4,-3,-1,2]
[3,-1,4,-2] => [-1,4,-3,-2]
[3,-1,-4,2] => [4,-1,3,2]
[3,-1,-4,-2] => [-1,4,3,-2]
[-3,1,4,2] => [1,-4,-3,2]
[-3,1,4,-2] => [-4,1,-3,-2]
[-3,1,-4,2] => [1,-4,3,2]
[-3,1,-4,-2] => [-4,3,1,-2]
[-3,-1,4,2] => [-1,-4,-3,2]
[-3,-1,4,-2] => [-4,-1,-3,-2]
[-3,-1,-4,2] => [-1,-4,3,2]
[-3,-1,-4,-2] => [-4,3,-1,-2]
[3,2,1,4] => [2,-3,1,4]
[3,2,1,-4] => [2,-3,1,-4]
[3,2,-1,4] => [2,-3,-1,4]
[3,2,-1,-4] => [2,-3,-1,-4]
[3,-2,1,4] => [2,3,1,4]
[3,-2,1,-4] => [2,3,1,-4]
[3,-2,-1,4] => [2,3,-1,4]
[3,-2,-1,-4] => [2,3,-1,-4]
[-3,2,1,4] => [-2,-3,1,4]
[-3,2,1,-4] => [-2,-3,1,-4]
[-3,2,-1,4] => [-2,-3,-1,4]
[-3,2,-1,-4] => [-2,-3,-1,-4]
[-3,-2,1,4] => [-2,3,1,4]
[-3,-2,1,-4] => [-2,3,1,-4]
[-3,-2,-1,4] => [-2,3,-1,4]
[-3,-2,-1,-4] => [-2,3,-1,-4]
[3,2,4,1] => [2,-4,-3,1]
[3,2,4,-1] => [2,-4,-3,-1]
[3,2,-4,1] => [3,-4,2,1]
[3,2,-4,-1] => [3,-4,2,-1]
[3,-2,4,1] => [3,4,-2,1]
[3,-2,4,-1] => [3,4,-2,-1]
[3,-2,-4,1] => [2,4,3,1]
[3,-2,-4,-1] => [2,4,3,-1]
[-3,2,4,1] => [-2,-4,-3,1]
[-3,2,4,-1] => [-2,-4,-3,-1]
[-3,2,-4,1] => [-3,-4,2,1]
[-3,2,-4,-1] => [-3,-4,2,-1]
[-3,-2,4,1] => [-3,4,-2,1]
[-3,-2,4,-1] => [-3,4,-2,-1]
[-3,-2,-4,1] => [-2,4,3,1]
[-3,-2,-4,-1] => [-2,4,3,-1]
[3,4,1,2] => [3,4,1,2]
[3,4,1,-2] => [1,3,4,-2]
[3,4,-1,2] => [3,4,-1,2]
[3,4,-1,-2] => [-1,3,4,-2]
[3,-4,1,2] => [3,1,-4,2]
[3,-4,1,-2] => [3,-4,1,-2]
[3,-4,-1,2] => [3,-1,-4,2]
[3,-4,-1,-2] => [3,-4,-1,-2]
[-3,4,1,2] => [-3,4,1,2]
[-3,4,1,-2] => [-3,1,4,-2]
[-3,4,-1,2] => [-3,4,-1,2]
[-3,4,-1,-2] => [-3,-1,4,-2]
[-3,-4,1,2] => [1,-3,-4,2]
[-3,-4,1,-2] => [-3,-4,1,-2]
[-3,-4,-1,2] => [-1,-3,-4,2]
[-3,-4,-1,-2] => [-3,-4,-1,-2]
[3,4,2,1] => [2,4,-3,1]
[3,4,2,-1] => [2,4,-3,-1]
[3,4,-2,1] => [2,3,4,1]
[3,4,-2,-1] => [2,3,4,-1]
[3,-4,2,1] => [2,-3,-4,1]
[3,-4,2,-1] => [2,-3,-4,-1]
[3,-4,-2,1] => [4,-2,3,1]
[3,-4,-2,-1] => [4,-2,3,-1]
[-3,4,2,1] => [-4,2,-3,1]
[-3,4,2,-1] => [-4,2,-3,-1]
[-3,4,-2,1] => [-2,3,4,1]
[-3,4,-2,-1] => [-2,3,4,-1]
[-3,-4,2,1] => [-2,-3,-4,1]
[-3,-4,2,-1] => [-2,-3,-4,-1]
[-3,-4,-2,1] => [-2,-4,3,1]
[-3,-4,-2,-1] => [-2,-4,3,-1]
[4,1,2,3] => [1,-4,2,3]
[4,1,2,-3] => [-4,1,2,-3]
[4,1,-2,3] => [-4,1,-2,3]
[4,1,-2,-3] => [1,-4,-2,-3]
[4,-1,2,3] => [-1,-4,2,3]
[4,-1,2,-3] => [-4,-1,2,-3]
[4,-1,-2,3] => [-4,-1,-2,3]
[4,-1,-2,-3] => [-1,-4,-2,-3]
[-4,1,2,3] => [1,4,2,3]
[-4,1,2,-3] => [4,1,2,-3]
[-4,1,-2,3] => [4,1,-2,3]
[-4,1,-2,-3] => [1,4,-2,-3]
[-4,-1,2,3] => [-1,4,2,3]
[-4,-1,2,-3] => [4,-1,2,-3]
[-4,-1,-2,3] => [4,-1,-2,3]
[-4,-1,-2,-3] => [-1,4,-2,-3]
[4,1,3,2] => [-3,-4,1,2]
[4,1,3,-2] => [-3,1,-4,-2]
[4,1,-3,2] => [-3,1,4,2]
[4,1,-3,-2] => [1,-3,4,-2]
[4,-1,3,2] => [-3,-4,-1,2]
[4,-1,3,-2] => [-3,-1,-4,-2]
[4,-1,-3,2] => [-3,-1,4,2]
[4,-1,-3,-2] => [-1,-3,4,-2]
[-4,1,3,2] => [1,3,-4,2]
[-4,1,3,-2] => [3,1,-4,-2]
[-4,1,-3,2] => [3,1,4,2]
[-4,1,-3,-2] => [3,4,1,-2]
[-4,-1,3,2] => [-1,3,-4,2]
[-4,-1,3,-2] => [3,-1,-4,-2]
[-4,-1,-3,2] => [3,-1,4,2]
[-4,-1,-3,-2] => [3,4,-1,-2]
[4,2,1,3] => [-2,-4,1,3]
[4,2,1,-3] => [-4,-2,1,-3]
[4,2,-1,3] => [-2,-4,-1,3]
[4,2,-1,-3] => [-4,-2,-1,-3]
[4,-2,1,3] => [-2,4,1,3]
[4,-2,1,-3] => [4,-2,1,-3]
[4,-2,-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] => [2,-4,1,-3]
[-4,2,-1,3] => [-4,2,-1,3]
[-4,2,-1,-3] => [2,-4,-1,-3]
[-4,-2,1,3] => [4,2,1,3]
[-4,-2,1,-3] => [2,4,1,-3]
[-4,-2,-1,3] => [4,2,-1,3]
[-4,-2,-1,-3] => [2,4,-1,-3]
[4,2,3,1] => [2,3,-4,1]
[4,2,3,-1] => [2,3,-4,-1]
[4,2,-3,1] => [-4,-3,2,1]
[4,2,-3,-1] => [-4,-3,2,-1]
[4,-2,3,1] => [-4,3,-2,1]
[4,-2,3,-1] => [-4,3,-2,-1]
[4,-2,-3,1] => [2,-3,4,1]
[4,-2,-3,-1] => [2,-3,4,-1]
[-4,2,3,1] => [-2,3,-4,1]
[-4,2,3,-1] => [-2,3,-4,-1]
[-4,2,-3,1] => [4,-3,2,1]
[-4,2,-3,-1] => [4,-3,2,-1]
[-4,-2,3,1] => [4,3,-2,1]
[-4,-2,3,-1] => [4,3,-2,-1]
[-4,-2,-3,1] => [-2,-3,4,1]
[-4,-2,-3,-1] => [-2,-3,4,-1]
[4,3,1,2] => [-4,3,1,2]
[4,3,1,-2] => [-4,1,3,-2]
[4,3,-1,2] => [-4,3,-1,2]
[4,3,-1,-2] => [-4,-1,3,-2]
[4,-3,1,2] => [-4,1,-3,2]
[4,-3,1,-2] => [-4,-3,1,-2]
[4,-3,-1,2] => [-4,-1,-3,2]
[4,-3,-1,-2] => [-4,-3,-1,-2]
[-4,3,1,2] => [4,3,1,2]
[-4,3,1,-2] => [4,1,3,-2]
[-4,3,-1,2] => [4,3,-1,2]
[-4,3,-1,-2] => [4,-1,3,-2]
[-4,-3,1,2] => [4,1,-3,2]
[-4,-3,1,-2] => [4,-3,1,-2]
[-4,-3,-1,2] => [4,-1,-3,2]
[-4,-3,-1,-2] => [4,-3,-1,-2]
[4,3,2,1] => [-3,2,-4,1]
[4,3,2,-1] => [-3,2,-4,-1]
[4,3,-2,1] => [-4,2,3,1]
[4,3,-2,-1] => [-4,2,3,-1]
[4,-3,2,1] => [4,2,-3,1]
[4,-3,2,-1] => [4,2,-3,-1]
[4,-3,-2,1] => [-3,-2,4,1]
[4,-3,-2,-1] => [-3,-2,4,-1]
[-4,3,2,1] => [3,2,-4,1]
[-4,3,2,-1] => [3,2,-4,-1]
[-4,3,-2,1] => [-4,-2,3,1]
[-4,3,-2,-1] => [-4,-2,3,-1]
[-4,-3,2,1] => [4,-2,-3,1]
[-4,-3,2,-1] => [4,-2,-3,-1]
[-4,-3,-2,1] => [3,-2,4,1]
[-4,-3,-2,-1] => [3,-2,4,-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] => [-5,1,2,3,4]
[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] => [1,2,5,3,-4]
[1,2,-3,5,4] => [1,2,-5,-3,4]
[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] => [1,5,2,-3,-4]
[1,-2,3,5,4] => [1,-5,-2,3,4]
[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,-2,5,3,-4]
[1,-2,-3,5,4] => [1,-2,-5,-3,4]
[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] => [5,1,-2,-3,-4]
[-1,2,3,5,4] => [-5,-1,2,3,4]
[-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] => [-1,2,5,3,-4]
[-1,2,-3,5,4] => [-1,2,-5,-3,4]
[-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] => [-1,5,2,-3,-4]
[-1,-2,3,5,4] => [-1,-5,-2,3,4]
[-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,-2,5,3,-4]
[-1,-2,-3,5,4] => [-1,-2,-5,-3,4]
[-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] => [5,-1,-2,-3,-4]
[1,2,4,3,5] => [-4,1,2,3,5]
[1,2,4,3,-5] => [-4,1,2,3,-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]
[1,2,-4,-3,-5] => [1,4,2,-3,-5]
[1,-2,4,3,5] => [1,-4,-2,3,5]
[1,-2,4,3,-5] => [1,-4,-2,3,-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] => [4,1,-2,-3,5]
[1,-2,-4,-3,-5] => [4,1,-2,-3,-5]
[-1,2,4,3,5] => [-4,-1,2,3,5]
[-1,2,4,3,-5] => [-4,-1,2,3,-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]
[-1,2,-4,-3,-5] => [-1,4,2,-3,-5]
[-1,-2,4,3,5] => [-1,-4,-2,3,5]
[-1,-2,4,3,-5] => [-1,-4,-2,3,-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] => [4,-1,-2,-3,5]
[-1,-2,-4,-3,-5] => [4,-1,-2,-3,-5]
[1,2,4,5,3] => [-5,-4,1,2,3]
[1,2,4,5,-3] => [1,2,-5,-4,-3]
[1,2,4,-5,3] => [-5,1,2,4,3]
[1,2,4,-5,-3] => [1,2,-5,4,-3]
[1,2,-4,5,3] => [1,2,5,-4,3]
[1,2,-4,5,-3] => [1,5,2,-4,-3]
[1,2,-4,-5,3] => [1,2,5,4,3]
[1,2,-4,-5,-3] => [1,5,4,2,-3]
[1,-2,4,5,3] => [1,-5,-4,-2,3]
[1,-2,4,5,-3] => [1,-2,-5,-4,-3]
[1,-2,4,-5,3] => [1,-5,-2,4,3]
[1,-2,4,-5,-3] => [1,-2,-5,4,-3]
[1,-2,-4,5,3] => [1,-2,5,-4,3]
[1,-2,-4,5,-3] => [5,1,-2,-4,-3]
[1,-2,-4,-5,3] => [1,-2,5,4,3]
[1,-2,-4,-5,-3] => [5,4,1,-2,-3]
[-1,2,4,5,3] => [-5,-4,-1,2,3]
[-1,2,4,5,-3] => [-1,2,-5,-4,-3]
[-1,2,4,-5,3] => [-5,-1,2,4,3]
[-1,2,4,-5,-3] => [-1,2,-5,4,-3]
[-1,2,-4,5,3] => [-1,2,5,-4,3]
[-1,2,-4,5,-3] => [-1,5,2,-4,-3]
[-1,2,-4,-5,3] => [-1,2,5,4,3]
[-1,2,-4,-5,-3] => [-1,5,4,2,-3]
[-1,-2,4,5,3] => [-1,-5,-4,-2,3]
[-1,-2,4,5,-3] => [-1,-2,-5,-4,-3]
[-1,-2,4,-5,3] => [-1,-5,-2,4,3]
[-1,-2,4,-5,-3] => [-1,-2,-5,4,-3]
[-1,-2,-4,5,3] => [-1,-2,5,-4,3]
[-1,-2,-4,5,-3] => [5,-1,-2,-4,-3]
[-1,-2,-4,-5,3] => [-1,-2,5,4,3]
[-1,-2,-4,-5,-3] => [5,4,-1,-2,-3]
[1,2,5,3,4] => [5,1,2,3,4]
[1,2,5,3,-4] => [1,2,3,5,-4]
[1,2,5,-3,4] => [1,2,5,-3,4]
[1,2,5,-3,-4] => [1,2,-3,5,-4]
[1,2,-5,3,4] => [1,2,3,-5,4]
[1,2,-5,3,-4] => [1,2,-5,3,-4]
[1,2,-5,-3,4] => [1,2,-3,-5,4]
[1,2,-5,-3,-4] => [1,-5,2,-3,-4]
[1,-2,5,3,4] => [1,5,-2,3,4]
[1,-2,5,3,-4] => [1,-2,3,5,-4]
[1,-2,5,-3,4] => [1,-2,5,-3,4]
[1,-2,5,-3,-4] => [1,-2,-3,5,-4]
[1,-2,-5,3,4] => [1,-2,3,-5,4]
[1,-2,-5,3,-4] => [1,-2,-5,3,-4]
[1,-2,-5,-3,4] => [1,-2,-3,-5,4]
[1,-2,-5,-3,-4] => [-5,1,-2,-3,-4]
[-1,2,5,3,4] => [5,-1,2,3,4]
[-1,2,5,3,-4] => [-1,2,3,5,-4]
[-1,2,5,-3,4] => [-1,2,5,-3,4]
[-1,2,5,-3,-4] => [-1,2,-3,5,-4]
[-1,2,-5,3,4] => [-1,2,3,-5,4]
[-1,2,-5,3,-4] => [-1,2,-5,3,-4]
[-1,2,-5,-3,4] => [-1,2,-3,-5,4]
[-1,2,-5,-3,-4] => [-1,-5,2,-3,-4]
[-1,-2,5,3,4] => [-1,5,-2,3,4]
[-1,-2,5,3,-4] => [-1,-2,3,5,-4]
[-1,-2,5,-3,4] => [-1,-2,5,-3,4]
[-1,-2,5,-3,-4] => [-1,-2,-3,5,-4]
[-1,-2,-5,3,4] => [-1,-2,3,-5,4]
[-1,-2,-5,3,-4] => [-1,-2,-5,3,-4]
[-1,-2,-5,-3,4] => [-1,-2,-3,-5,4]
[-1,-2,-5,-3,-4] => [-5,-1,-2,-3,-4]
[1,2,5,4,3] => [4,-5,1,2,3]
[1,2,5,4,-3] => [1,2,4,-5,-3]
[1,2,5,-4,3] => [1,2,4,5,3]
[1,2,5,-4,-3] => [1,4,2,5,-3]
[1,2,-5,4,3] => [-4,1,2,-5,3]
[1,2,-5,4,-3] => [1,2,-4,-5,-3]
[1,2,-5,-4,3] => [1,2,-4,5,3]
[1,2,-5,-4,-3] => [1,-4,5,2,-3]
[1,-2,5,4,3] => [1,4,-5,-2,3]
[1,-2,5,4,-3] => [1,-2,4,-5,-3]
[1,-2,5,-4,3] => [1,-2,4,5,3]
[1,-2,5,-4,-3] => [4,1,-2,5,-3]
[1,-2,-5,4,3] => [1,-4,-2,-5,3]
[1,-2,-5,4,-3] => [1,-2,-4,-5,-3]
[1,-2,-5,-4,3] => [1,-2,-4,5,3]
[1,-2,-5,-4,-3] => [-4,5,1,-2,-3]
[-1,2,5,4,3] => [4,-5,-1,2,3]
[-1,2,5,4,-3] => [-1,2,4,-5,-3]
[-1,2,5,-4,3] => [-1,2,4,5,3]
[-1,2,5,-4,-3] => [-1,4,2,5,-3]
[-1,2,-5,4,3] => [-4,-1,2,-5,3]
[-1,2,-5,4,-3] => [-1,2,-4,-5,-3]
[-1,2,-5,-4,3] => [-1,2,-4,5,3]
[-1,2,-5,-4,-3] => [-1,-4,5,2,-3]
[-1,-2,5,4,3] => [-1,4,-5,-2,3]
[-1,-2,5,4,-3] => [-1,-2,4,-5,-3]
[-1,-2,5,-4,3] => [-1,-2,4,5,3]
[-1,-2,5,-4,-3] => [4,-1,-2,5,-3]
[-1,-2,-5,4,3] => [-1,-4,-2,-5,3]
[-1,-2,-5,4,-3] => [-1,-2,-4,-5,-3]
[-1,-2,-5,-4,3] => [-1,-2,-4,5,3]
[-1,-2,-5,-4,-3] => [-4,5,-1,-2,-3]
[1,3,2,4,5] => [-3,1,2,4,5]
[1,3,2,4,-5] => [-3,1,2,4,-5]
[1,3,2,-4,5] => [-3,1,2,-4,5]
[1,3,2,-4,-5] => [-3,1,2,-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] => [3,1,-2,4,5]
[1,-3,-2,4,-5] => [3,1,-2,4,-5]
[1,-3,-2,-4,5] => [3,1,-2,-4,5]
[1,-3,-2,-4,-5] => [3,1,-2,-4,-5]
[-1,3,2,4,5] => [-3,-1,2,4,5]
[-1,3,2,4,-5] => [-3,-1,2,4,-5]
[-1,3,2,-4,5] => [-3,-1,2,-4,5]
[-1,3,2,-4,-5] => [-3,-1,2,-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] => [3,-1,-2,4,5]
[-1,-3,-2,4,-5] => [3,-1,-2,4,-5]
[-1,-3,-2,-4,5] => [3,-1,-2,-4,5]
[-1,-3,-2,-4,-5] => [3,-1,-2,-4,-5]
[1,3,2,5,4] => [-5,-3,1,2,4]
[1,3,2,5,-4] => [-3,1,2,-5,-4]
[1,3,2,-5,4] => [-3,1,2,5,4]
[1,3,2,-5,-4] => [-5,1,3,2,-4]
[1,3,-2,5,4] => [1,-5,-3,-2,4]
[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,-5,3,-2,-4]
[1,-3,2,5,4] => [1,5,-3,2,4]
[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] => [1,5,3,2,-4]
[1,-3,-2,5,4] => [5,1,-3,-2,4]
[1,-3,-2,5,-4] => [3,1,-2,-5,-4]
[1,-3,-2,-5,4] => [3,1,-2,5,4]
[1,-3,-2,-5,-4] => [5,3,1,-2,-4]
[-1,3,2,5,4] => [-5,-3,-1,2,4]
[-1,3,2,5,-4] => [-3,-1,2,-5,-4]
[-1,3,2,-5,4] => [-3,-1,2,5,4]
[-1,3,2,-5,-4] => [-5,-1,3,2,-4]
[-1,3,-2,5,4] => [-1,-5,-3,-2,4]
[-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,-5,3,-2,-4]
[-1,-3,2,5,4] => [-1,5,-3,2,4]
[-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] => [-1,5,3,2,-4]
[-1,-3,-2,5,4] => [5,-1,-3,-2,4]
[-1,-3,-2,5,-4] => [3,-1,-2,-5,-4]
[-1,-3,-2,-5,4] => [3,-1,-2,5,4]
[-1,-3,-2,-5,-4] => [5,3,-1,-2,-4]
[1,3,4,2,5] => [-4,-3,1,2,5]
[1,3,4,2,-5] => [-4,-3,1,2,-5]
[1,3,4,-2,5] => [1,-4,-3,-2,5]
[1,3,4,-2,-5] => [1,-4,-3,-2,-5]
[1,3,-4,2,5] => [-4,1,3,2,5]
[1,3,-4,2,-5] => [-4,1,3,2,-5]
[1,3,-4,-2,5] => [1,-4,3,-2,5]
[1,3,-4,-2,-5] => [1,-4,3,-2,-5]
[1,-3,4,2,5] => [1,4,-3,2,5]
[1,-3,4,2,-5] => [1,4,-3,2,-5]
[1,-3,4,-2,5] => [4,1,-3,-2,5]
[1,-3,4,-2,-5] => [4,1,-3,-2,-5]
[1,-3,-4,2,5] => [1,4,3,2,5]
[1,-3,-4,2,-5] => [1,4,3,2,-5]
[1,-3,-4,-2,5] => [4,3,1,-2,5]
[1,-3,-4,-2,-5] => [4,3,1,-2,-5]
[-1,3,4,2,5] => [-4,-3,-1,2,5]
[-1,3,4,2,-5] => [-4,-3,-1,2,-5]
[-1,3,4,-2,5] => [-1,-4,-3,-2,5]
[-1,3,4,-2,-5] => [-1,-4,-3,-2,-5]
[-1,3,-4,2,5] => [-4,-1,3,2,5]
[-1,3,-4,2,-5] => [-4,-1,3,2,-5]
[-1,3,-4,-2,5] => [-1,-4,3,-2,5]
[-1,3,-4,-2,-5] => [-1,-4,3,-2,-5]
[-1,-3,4,2,5] => [-1,4,-3,2,5]
[-1,-3,4,2,-5] => [-1,4,-3,2,-5]
[-1,-3,4,-2,5] => [4,-1,-3,-2,5]
[-1,-3,4,-2,-5] => [4,-1,-3,-2,-5]
[-1,-3,-4,2,5] => [-1,4,3,2,5]
[-1,-3,-4,2,-5] => [-1,4,3,2,-5]
[-1,-3,-4,-2,5] => [4,3,-1,-2,5]
[-1,-3,-4,-2,-5] => [4,3,-1,-2,-5]
[1,3,4,5,2] => [-5,-4,-3,1,2]
[1,3,4,5,-2] => [1,-5,-4,-3,-2]
[1,3,4,-5,2] => [5,1,3,4,2]
[1,3,4,-5,-2] => [1,5,3,4,-2]
[1,3,-4,5,2] => [-3,1,5,-4,2]
[1,3,-4,5,-2] => [1,-3,5,-4,-2]
[1,3,-4,-5,2] => [-5,1,4,3,2]
[1,3,-4,-5,-2] => [1,-5,4,3,-2]
[1,-3,4,5,2] => [1,5,-4,-3,2]
[1,-3,4,5,-2] => [5,1,-4,-3,-2]
[1,-3,4,-5,2] => [1,3,-5,4,2]
[1,-3,4,-5,-2] => [3,1,-5,4,-2]
[1,-3,-4,5,2] => [1,-5,-3,-4,2]
[1,-3,-4,5,-2] => [-5,1,-3,-4,-2]
[1,-3,-4,-5,2] => [1,5,4,3,2]
[1,-3,-4,-5,-2] => [5,4,3,1,-2]
[-1,3,4,5,2] => [-5,-4,-3,-1,2]
[-1,3,4,5,-2] => [-1,-5,-4,-3,-2]
[-1,3,4,-5,2] => [5,-1,3,4,2]
[-1,3,4,-5,-2] => [-1,5,3,4,-2]
[-1,3,-4,5,2] => [-3,-1,5,-4,2]
[-1,3,-4,5,-2] => [-1,-3,5,-4,-2]
[-1,3,-4,-5,2] => [-5,-1,4,3,2]
[-1,3,-4,-5,-2] => [-1,-5,4,3,-2]
[-1,-3,4,5,2] => [-1,5,-4,-3,2]
[-1,-3,4,5,-2] => [5,-1,-4,-3,-2]
[-1,-3,4,-5,2] => [-1,3,-5,4,2]
[-1,-3,4,-5,-2] => [3,-1,-5,4,-2]
[-1,-3,-4,5,2] => [-1,-5,-3,-4,2]
[-1,-3,-4,5,-2] => [-5,-1,-3,-4,-2]
[-1,-3,-4,-5,2] => [-1,5,4,3,2]
[-1,-3,-4,-5,-2] => [5,4,3,-1,-2]
[1,3,5,2,4] => [3,-5,1,2,4]
[1,3,5,2,-4] => [-3,1,2,5,-4]
[1,3,5,-2,4] => [1,3,-5,-2,4]
[1,3,5,-2,-4] => [1,-3,-2,5,-4]
[1,3,-5,2,4] => [-3,1,2,-5,4]
[1,3,-5,2,-4] => [-3,1,-5,2,-4]
[1,3,-5,-2,4] => [1,-3,-2,-5,4]
[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] => [1,3,2,5,-4]
[1,-3,5,-2,4] => [3,1,5,-2,4]
[1,-3,5,-2,-4] => [3,1,-2,5,-4]
[1,-3,-5,2,4] => [1,3,2,-5,4]
[1,-3,-5,2,-4] => [1,-3,5,2,-4]
[1,-3,-5,-2,4] => [3,1,-2,-5,4]
[1,-3,-5,-2,-4] => [-3,5,1,-2,-4]
[-1,3,5,2,4] => [3,-5,-1,2,4]
[-1,3,5,2,-4] => [-3,-1,2,5,-4]
[-1,3,5,-2,4] => [-1,3,-5,-2,4]
[-1,3,5,-2,-4] => [-1,-3,-2,5,-4]
[-1,3,-5,2,4] => [-3,-1,2,-5,4]
[-1,3,-5,2,-4] => [-3,-1,-5,2,-4]
[-1,3,-5,-2,4] => [-1,-3,-2,-5,4]
[-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] => [-1,3,2,5,-4]
[-1,-3,5,-2,4] => [3,-1,5,-2,4]
[-1,-3,5,-2,-4] => [3,-1,-2,5,-4]
[-1,-3,-5,2,4] => [-1,3,2,-5,4]
[-1,-3,-5,2,-4] => [-1,-3,5,2,-4]
[-1,-3,-5,-2,4] => [3,-1,-2,-5,4]
[-1,-3,-5,-2,-4] => [-3,5,-1,-2,-4]
[1,3,5,4,2] => [4,-5,-3,1,2]
[1,3,5,4,-2] => [1,4,-5,-3,-2]
[1,3,5,-4,2] => [-4,1,3,5,2]
[1,3,5,-4,-2] => [1,-4,3,5,-2]
[1,3,-5,4,2] => [-4,-3,1,-5,2]
[1,3,-5,4,-2] => [1,-4,-3,-5,-2]
[1,3,-5,-4,2] => [1,4,5,3,2]
[1,3,-5,-4,-2] => [4,1,5,3,-2]
[1,-3,5,4,2] => [-4,1,-5,-3,2]
[1,-3,5,4,-2] => [1,-4,-5,-3,-2]
[1,-3,5,-4,2] => [1,4,3,5,2]
[1,-3,5,-4,-2] => [4,3,1,5,-2]
[1,-3,-5,4,2] => [1,4,-3,-5,2]
[1,-3,-5,4,-2] => [4,1,-3,-5,-2]
[1,-3,-5,-4,2] => [1,-4,5,3,2]
[1,-3,-5,-4,-2] => [-4,5,3,1,-2]
[-1,3,5,4,2] => [4,-5,-3,-1,2]
[-1,3,5,4,-2] => [-1,4,-5,-3,-2]
[-1,3,5,-4,2] => [-4,-1,3,5,2]
[-1,3,5,-4,-2] => [-1,-4,3,5,-2]
[-1,3,-5,4,2] => [-4,-3,-1,-5,2]
[-1,3,-5,4,-2] => [-1,-4,-3,-5,-2]
[-1,3,-5,-4,2] => [-1,4,5,3,2]
[-1,3,-5,-4,-2] => [4,-1,5,3,-2]
[-1,-3,5,4,2] => [-4,-1,-5,-3,2]
[-1,-3,5,4,-2] => [-1,-4,-5,-3,-2]
[-1,-3,5,-4,2] => [-1,4,3,5,2]
[-1,-3,5,-4,-2] => [4,3,-1,5,-2]
[-1,-3,-5,4,2] => [-1,4,-3,-5,2]
[-1,-3,-5,4,-2] => [4,-1,-3,-5,-2]
[-1,-3,-5,-4,2] => [-1,-4,5,3,2]
[-1,-3,-5,-4,-2] => [-4,5,3,-1,-2]
[1,4,2,3,5] => [4,1,2,3,5]
[1,4,2,3,-5] => [4,1,2,3,-5]
[1,4,2,-3,5] => [1,2,4,-3,5]
[1,4,2,-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,-2,4,-3,5]
[1,4,-2,-3,-5] => [1,-2,4,-3,-5]
[1,-4,2,3,5] => [1,2,-4,3,5]
[1,-4,2,3,-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,-2,-4,3,5]
[1,-4,-2,3,-5] => [1,-2,-4,3,-5]
[1,-4,-2,-3,5] => [-4,1,-2,-3,5]
[1,-4,-2,-3,-5] => [-4,1,-2,-3,-5]
[-1,4,2,3,5] => [4,-1,2,3,5]
[-1,4,2,3,-5] => [4,-1,2,3,-5]
[-1,4,2,-3,5] => [-1,2,4,-3,5]
[-1,4,2,-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,-2,4,-3,5]
[-1,4,-2,-3,-5] => [-1,-2,4,-3,-5]
[-1,-4,2,3,5] => [-1,2,-4,3,5]
[-1,-4,2,3,-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,-2,-4,3,5]
[-1,-4,-2,3,-5] => [-1,-2,-4,3,-5]
[-1,-4,-2,-3,5] => [-4,-1,-2,-3,5]
[-1,-4,-2,-3,-5] => [-4,-1,-2,-3,-5]
[1,4,2,5,3] => [5,-4,1,2,3]
[1,4,2,5,-3] => [1,2,5,-4,-3]
[1,4,2,-5,3] => [5,1,2,4,3]
[1,4,2,-5,-3] => [1,2,5,4,-3]
[1,4,-2,5,3] => [1,5,-4,-2,3]
[1,4,-2,5,-3] => [1,-2,5,-4,-3]
[1,4,-2,-5,3] => [1,5,-2,4,3]
[1,4,-2,-5,-3] => [1,-2,5,4,-3]
[1,-4,2,5,3] => [1,2,-5,-4,3]
[1,-4,2,5,-3] => [1,-5,2,-4,-3]
[1,-4,2,-5,3] => [1,2,-5,4,3]
[1,-4,2,-5,-3] => [1,-5,4,2,-3]
[1,-4,-2,5,3] => [1,-2,-5,-4,3]
[1,-4,-2,5,-3] => [-5,1,-2,-4,-3]
[1,-4,-2,-5,3] => [1,-2,-5,4,3]
[1,-4,-2,-5,-3] => [-5,4,1,-2,-3]
[-1,4,2,5,3] => [5,-4,-1,2,3]
[-1,4,2,5,-3] => [-1,2,5,-4,-3]
[-1,4,2,-5,3] => [5,-1,2,4,3]
[-1,4,2,-5,-3] => [-1,2,5,4,-3]
[-1,4,-2,5,3] => [-1,5,-4,-2,3]
[-1,4,-2,5,-3] => [-1,-2,5,-4,-3]
[-1,4,-2,-5,3] => [-1,5,-2,4,3]
[-1,4,-2,-5,-3] => [-1,-2,5,4,-3]
[-1,-4,2,5,3] => [-1,2,-5,-4,3]
[-1,-4,2,5,-3] => [-1,-5,2,-4,-3]
[-1,-4,2,-5,3] => [-1,2,-5,4,3]
[-1,-4,2,-5,-3] => [-1,-5,4,2,-3]
[-1,-4,-2,5,3] => [-1,-2,-5,-4,3]
[-1,-4,-2,5,-3] => [-5,-1,-2,-4,-3]
[-1,-4,-2,-5,3] => [-1,-2,-5,4,3]
[-1,-4,-2,-5,-3] => [-5,4,-1,-2,-3]
[1,4,3,2,5] => [3,-4,1,2,5]
[1,4,3,2,-5] => [3,-4,1,2,-5]
[1,4,3,-2,5] => [1,3,-4,-2,5]
[1,4,3,-2,-5] => [1,3,-4,-2,-5]
[1,4,-3,2,5] => [1,3,4,2,5]
[1,4,-3,2,-5] => [1,3,4,2,-5]
[1,4,-3,-2,5] => [3,1,4,-2,5]
[1,4,-3,-2,-5] => [3,1,4,-2,-5]
[1,-4,3,2,5] => [-3,1,-4,2,5]
[1,-4,3,2,-5] => [-3,1,-4,2,-5]
[1,-4,3,-2,5] => [1,-3,-4,-2,5]
[1,-4,3,-2,-5] => [1,-3,-4,-2,-5]
[1,-4,-3,2,5] => [1,-3,4,2,5]
[1,-4,-3,2,-5] => [1,-3,4,2,-5]
[1,-4,-3,-2,5] => [-3,4,1,-2,5]
[1,-4,-3,-2,-5] => [-3,4,1,-2,-5]
[-1,4,3,2,5] => [3,-4,-1,2,5]
[-1,4,3,2,-5] => [3,-4,-1,2,-5]
[-1,4,3,-2,5] => [-1,3,-4,-2,5]
[-1,4,3,-2,-5] => [-1,3,-4,-2,-5]
[-1,4,-3,2,5] => [-1,3,4,2,5]
[-1,4,-3,2,-5] => [-1,3,4,2,-5]
[-1,4,-3,-2,5] => [3,-1,4,-2,5]
[-1,4,-3,-2,-5] => [3,-1,4,-2,-5]
[-1,-4,3,2,5] => [-3,-1,-4,2,5]
[-1,-4,3,2,-5] => [-3,-1,-4,2,-5]
[-1,-4,3,-2,5] => [-1,-3,-4,-2,5]
[-1,-4,3,-2,-5] => [-1,-3,-4,-2,-5]
[-1,-4,-3,2,5] => [-1,-3,4,2,5]
[-1,-4,-3,2,-5] => [-1,-3,4,2,-5]
[-1,-4,-3,-2,5] => [-3,4,-1,-2,5]
[-1,-4,-3,-2,-5] => [-3,4,-1,-2,-5]
[1,4,3,5,2] => [3,-5,-4,1,2]
[1,4,3,5,-2] => [1,3,-5,-4,-2]
[1,4,3,-5,2] => [4,-5,1,3,2]
[1,4,3,-5,-2] => [1,4,-5,3,-2]
[1,4,-3,5,2] => [1,4,5,-3,2]
[1,4,-3,5,-2] => [4,1,5,-3,-2]
[1,4,-3,-5,2] => [1,3,5,4,2]
[1,4,-3,-5,-2] => [3,1,5,4,-2]
[1,-4,3,5,2] => [-3,1,-5,-4,2]
[1,-4,3,5,-2] => [1,-3,-5,-4,-2]
[1,-4,3,-5,2] => [-4,1,-5,3,2]
[1,-4,3,-5,-2] => [1,-4,-5,3,-2]
[1,-4,-3,5,2] => [1,-4,5,-3,2]
[1,-4,-3,5,-2] => [-4,5,1,-3,-2]
[1,-4,-3,-5,2] => [1,-3,5,4,2]
[1,-4,-3,-5,-2] => [-3,5,4,1,-2]
[-1,4,3,5,2] => [3,-5,-4,-1,2]
[-1,4,3,5,-2] => [-1,3,-5,-4,-2]
[-1,4,3,-5,2] => [4,-5,-1,3,2]
[-1,4,3,-5,-2] => [-1,4,-5,3,-2]
[-1,4,-3,5,2] => [-1,4,5,-3,2]
[-1,4,-3,5,-2] => [4,-1,5,-3,-2]
[-1,4,-3,-5,2] => [-1,3,5,4,2]
[-1,4,-3,-5,-2] => [3,-1,5,4,-2]
[-1,-4,3,5,2] => [-3,-1,-5,-4,2]
[-1,-4,3,5,-2] => [-1,-3,-5,-4,-2]
[-1,-4,3,-5,2] => [-4,-1,-5,3,2]
[-1,-4,3,-5,-2] => [-1,-4,-5,3,-2]
[-1,-4,-3,5,2] => [-1,-4,5,-3,2]
[-1,-4,-3,5,-2] => [-4,5,-1,-3,-2]
[-1,-4,-3,-5,2] => [-1,-3,5,4,2]
[-1,-4,-3,-5,-2] => [-3,5,4,-1,-2]
[1,4,5,2,3] => [4,5,1,2,3]
[1,4,5,2,-3] => [1,2,4,5,-3]
[1,4,5,-2,3] => [1,4,5,-2,3]
[1,4,5,-2,-3] => [1,-2,4,5,-3]
[1,4,-5,2,3] => [4,1,2,-5,3]
[1,4,-5,2,-3] => [1,4,-5,2,-3]
[1,4,-5,-2,3] => [1,4,-2,-5,3]
[1,4,-5,-2,-3] => [4,1,-5,-2,-3]
[1,-4,5,2,3] => [-4,1,5,2,3]
[1,-4,5,2,-3] => [1,-4,2,5,-3]
[1,-4,5,-2,3] => [1,-4,5,-2,3]
[1,-4,5,-2,-3] => [-4,1,-2,5,-3]
[1,-4,-5,2,3] => [1,2,-4,-5,3]
[1,-4,-5,2,-3] => [1,-4,-5,2,-3]
[1,-4,-5,-2,3] => [1,-2,-4,-5,3]
[1,-4,-5,-2,-3] => [-4,-5,1,-2,-3]
[-1,4,5,2,3] => [4,5,-1,2,3]
[-1,4,5,2,-3] => [-1,2,4,5,-3]
[-1,4,5,-2,3] => [-1,4,5,-2,3]
[-1,4,5,-2,-3] => [-1,-2,4,5,-3]
[-1,4,-5,2,3] => [4,-1,2,-5,3]
[-1,4,-5,2,-3] => [-1,4,-5,2,-3]
[-1,4,-5,-2,3] => [-1,4,-2,-5,3]
[-1,4,-5,-2,-3] => [4,-1,-5,-2,-3]
[-1,-4,5,2,3] => [-4,-1,5,2,3]
[-1,-4,5,2,-3] => [-1,-4,2,5,-3]
[-1,-4,5,-2,3] => [-1,-4,5,-2,3]
[-1,-4,5,-2,-3] => [-4,-1,-2,5,-3]
[-1,-4,-5,2,3] => [-1,2,-4,-5,3]
[-1,-4,-5,2,-3] => [-1,-4,-5,2,-3]
[-1,-4,-5,-2,3] => [-1,-2,-4,-5,3]
[-1,-4,-5,-2,-3] => [-4,-5,-1,-2,-3]
[1,4,5,3,2] => [3,5,-4,1,2]
[1,4,5,3,-2] => [1,3,5,-4,-2]
[1,4,5,-3,2] => [1,3,4,5,2]
[1,4,5,-3,-2] => [3,1,4,5,-2]
[1,4,-5,3,2] => [3,-4,1,-5,2]
[1,4,-5,3,-2] => [1,3,-4,-5,-2]
[1,4,-5,-3,2] => [1,5,-3,4,2]
[1,4,-5,-3,-2] => [5,1,-3,4,-2]
[1,-4,5,3,2] => [-5,1,3,-4,2]
[1,-4,5,3,-2] => [1,-5,3,-4,-2]
[1,-4,5,-3,2] => [1,-3,4,5,2]
[1,-4,5,-3,-2] => [-3,4,1,5,-2]
[1,-4,-5,3,2] => [-3,1,-4,-5,2]
[1,-4,-5,3,-2] => [1,-3,-4,-5,-2]
[1,-4,-5,-3,2] => [1,-3,-5,4,2]
[1,-4,-5,-3,-2] => [-3,-5,4,1,-2]
[-1,4,5,3,2] => [3,5,-4,-1,2]
[-1,4,5,3,-2] => [-1,3,5,-4,-2]
[-1,4,5,-3,2] => [-1,3,4,5,2]
[-1,4,5,-3,-2] => [3,-1,4,5,-2]
[-1,4,-5,3,2] => [3,-4,-1,-5,2]
[-1,4,-5,3,-2] => [-1,3,-4,-5,-2]
[-1,4,-5,-3,2] => [-1,5,-3,4,2]
[-1,4,-5,-3,-2] => [5,-1,-3,4,-2]
[-1,-4,5,3,2] => [-5,-1,3,-4,2]
[-1,-4,5,3,-2] => [-1,-5,3,-4,-2]
[-1,-4,5,-3,2] => [-1,-3,4,5,2]
[-1,-4,5,-3,-2] => [-3,4,-1,5,-2]
[-1,-4,-5,3,2] => [-3,-1,-4,-5,2]
[-1,-4,-5,3,-2] => [-1,-3,-4,-5,-2]
[-1,-4,-5,-3,2] => [-1,-3,-5,4,2]
[-1,-4,-5,-3,-2] => [-3,-5,4,-1,-2]
[1,5,2,3,4] => [1,-5,2,3,4]
[1,5,2,3,-4] => [-5,1,2,3,-4]
[1,5,2,-3,4] => [-5,1,2,-3,4]
[1,5,2,-3,-4] => [1,2,-5,-3,-4]
[1,5,-2,3,4] => [-5,1,-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,-2,-5,-3,-4]
[1,-5,2,3,4] => [1,2,5,3,4]
[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] => [5,1,2,-3,-4]
[1,-5,-2,3,4] => [1,-2,5,3,4]
[1,-5,-2,3,-4] => [5,1,-2,3,-4]
[1,-5,-2,-3,4] => [5,1,-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] => [-5,-1,2,3,-4]
[-1,5,2,-3,4] => [-5,-1,2,-3,4]
[-1,5,2,-3,-4] => [-1,2,-5,-3,-4]
[-1,5,-2,3,4] => [-5,-1,-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,-2,-5,-3,-4]
[-1,-5,2,3,4] => [-1,2,5,3,4]
[-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] => [5,-1,2,-3,-4]
[-1,-5,-2,3,4] => [-1,-2,5,3,4]
[-1,-5,-2,3,-4] => [5,-1,-2,3,-4]
[-1,-5,-2,-3,4] => [5,-1,-2,-3,4]
[-1,-5,-2,-3,-4] => [-1,5,-2,-3,-4]
[1,5,2,4,3] => [-4,-5,1,2,3]
[1,5,2,4,-3] => [-4,1,2,-5,-3]
[1,5,2,-4,3] => [-4,1,2,5,3]
[1,5,2,-4,-3] => [1,2,-4,5,-3]
[1,5,-2,4,3] => [-4,1,-5,-2,3]
[1,5,-2,4,-3] => [1,-4,-2,-5,-3]
[1,5,-2,-4,3] => [1,-4,-2,5,3]
[1,5,-2,-4,-3] => [1,-2,-4,5,-3]
[1,-5,2,4,3] => [1,2,4,-5,3]
[1,-5,2,4,-3] => [1,4,2,-5,-3]
[1,-5,2,-4,3] => [1,4,2,5,3]
[1,-5,2,-4,-3] => [4,1,5,2,-3]
[1,-5,-2,4,3] => [1,-2,4,-5,3]
[1,-5,-2,4,-3] => [4,1,-2,-5,-3]
[1,-5,-2,-4,3] => [4,1,-2,5,3]
[1,-5,-2,-4,-3] => [4,5,1,-2,-3]
[-1,5,2,4,3] => [-4,-5,-1,2,3]
[-1,5,2,4,-3] => [-4,-1,2,-5,-3]
[-1,5,2,-4,3] => [-4,-1,2,5,3]
[-1,5,2,-4,-3] => [-1,2,-4,5,-3]
[-1,5,-2,4,3] => [-4,-1,-5,-2,3]
[-1,5,-2,4,-3] => [-1,-4,-2,-5,-3]
[-1,5,-2,-4,3] => [-1,-4,-2,5,3]
[-1,5,-2,-4,-3] => [-1,-2,-4,5,-3]
[-1,-5,2,4,3] => [-1,2,4,-5,3]
[-1,-5,2,4,-3] => [-1,4,2,-5,-3]
[-1,-5,2,-4,3] => [-1,4,2,5,3]
[-1,-5,2,-4,-3] => [4,-1,5,2,-3]
[-1,-5,-2,4,3] => [-1,-2,4,-5,3]
[-1,-5,-2,4,-3] => [4,-1,-2,-5,-3]
[-1,-5,-2,-4,3] => [4,-1,-2,5,3]
[-1,-5,-2,-4,-3] => [4,5,-1,-2,-3]
[1,5,3,2,4] => [-3,-5,1,2,4]
[1,5,3,2,-4] => [-5,-3,1,2,-4]
[1,5,3,-2,4] => [-3,1,-5,-2,4]
[1,5,3,-2,-4] => [1,-5,-3,-2,-4]
[1,5,-3,2,4] => [-3,1,5,2,4]
[1,5,-3,2,-4] => [1,5,-3,2,-4]
[1,5,-3,-2,4] => [1,-3,5,-2,4]
[1,5,-3,-2,-4] => [5,1,-3,-2,-4]
[1,-5,3,2,4] => [-5,1,3,2,4]
[1,-5,3,2,-4] => [1,3,-5,2,-4]
[1,-5,3,-2,4] => [1,-5,3,-2,4]
[1,-5,3,-2,-4] => [3,1,-5,-2,-4]
[1,-5,-3,2,4] => [1,5,3,2,4]
[1,-5,-3,2,-4] => [3,1,5,2,-4]
[1,-5,-3,-2,4] => [5,3,1,-2,4]
[1,-5,-3,-2,-4] => [3,5,1,-2,-4]
[-1,5,3,2,4] => [-3,-5,-1,2,4]
[-1,5,3,2,-4] => [-5,-3,-1,2,-4]
[-1,5,3,-2,4] => [-3,-1,-5,-2,4]
[-1,5,3,-2,-4] => [-1,-5,-3,-2,-4]
[-1,5,-3,2,4] => [-3,-1,5,2,4]
[-1,5,-3,2,-4] => [-1,5,-3,2,-4]
[-1,5,-3,-2,4] => [-1,-3,5,-2,4]
[-1,5,-3,-2,-4] => [5,-1,-3,-2,-4]
[-1,-5,3,2,4] => [-5,-1,3,2,4]
[-1,-5,3,2,-4] => [-1,3,-5,2,-4]
[-1,-5,3,-2,4] => [-1,-5,3,-2,4]
[-1,-5,3,-2,-4] => [3,-1,-5,-2,-4]
[-1,-5,-3,2,4] => [-1,5,3,2,4]
[-1,-5,-3,2,-4] => [3,-1,5,2,-4]
[-1,-5,-3,-2,4] => [5,3,-1,-2,4]
[-1,-5,-3,-2,-4] => [3,5,-1,-2,-4]
[1,5,3,4,2] => [3,4,-5,1,2]
[1,5,3,4,-2] => [1,3,4,-5,-2]
[1,5,3,-4,2] => [-5,-4,1,3,2]
[1,5,3,-4,-2] => [1,-5,-4,3,-2]
[1,5,-3,4,2] => [-5,1,4,-3,2]
[1,5,-3,4,-2] => [1,-5,4,-3,-2]
[1,5,-3,-4,2] => [1,3,-4,5,2]
[1,5,-3,-4,-2] => [3,1,-4,5,-2]
[1,-5,3,4,2] => [-3,1,4,-5,2]
[1,-5,3,4,-2] => [1,-3,4,-5,-2]
[1,-5,3,-4,2] => [1,5,-4,3,2]
[1,-5,3,-4,-2] => [5,1,-4,3,-2]
[1,-5,-3,4,2] => [1,5,4,-3,2]
[1,-5,-3,4,-2] => [5,4,1,-3,-2]
[1,-5,-3,-4,2] => [1,-3,-4,5,2]
[1,-5,-3,-4,-2] => [-3,-4,5,1,-2]
[-1,5,3,4,2] => [3,4,-5,-1,2]
[-1,5,3,4,-2] => [-1,3,4,-5,-2]
[-1,5,3,-4,2] => [-5,-4,-1,3,2]
[-1,5,3,-4,-2] => [-1,-5,-4,3,-2]
[-1,5,-3,4,2] => [-5,-1,4,-3,2]
[-1,5,-3,4,-2] => [-1,-5,4,-3,-2]
[-1,5,-3,-4,2] => [-1,3,-4,5,2]
[-1,5,-3,-4,-2] => [3,-1,-4,5,-2]
[-1,-5,3,4,2] => [-3,-1,4,-5,2]
[-1,-5,3,4,-2] => [-1,-3,4,-5,-2]
[-1,-5,3,-4,2] => [-1,5,-4,3,2]
[-1,-5,3,-4,-2] => [5,-1,-4,3,-2]
[-1,-5,-3,4,2] => [-1,5,4,-3,2]
[-1,-5,-3,4,-2] => [5,4,-1,-3,-2]
[-1,-5,-3,-4,2] => [-1,-3,-4,5,2]
[-1,-5,-3,-4,-2] => [-3,-4,5,-1,-2]
[1,5,4,2,3] => [-5,4,1,2,3]
[1,5,4,2,-3] => [-5,1,2,4,-3]
[1,5,4,-2,3] => [-5,1,4,-2,3]
[1,5,4,-2,-3] => [1,-5,-2,4,-3]
[1,5,-4,2,3] => [-5,1,2,-4,3]
[1,5,-4,2,-3] => [1,-5,-4,2,-3]
[1,5,-4,-2,3] => [1,-5,-2,-4,3]
[1,5,-4,-2,-3] => [-5,1,-4,-2,-3]
[1,-5,4,2,3] => [5,1,4,2,3]
[1,-5,4,2,-3] => [1,5,2,4,-3]
[1,-5,4,-2,3] => [1,5,4,-2,3]
[1,-5,4,-2,-3] => [5,1,-2,4,-3]
[1,-5,-4,2,3] => [1,5,2,-4,3]
[1,-5,-4,2,-3] => [5,1,-4,2,-3]
[1,-5,-4,-2,3] => [5,1,-2,-4,3]
[1,-5,-4,-2,-3] => [5,-4,1,-2,-3]
[-1,5,4,2,3] => [-5,4,-1,2,3]
[-1,5,4,2,-3] => [-5,-1,2,4,-3]
[-1,5,4,-2,3] => [-5,-1,4,-2,3]
[-1,5,4,-2,-3] => [-1,-5,-2,4,-3]
[-1,5,-4,2,3] => [-5,-1,2,-4,3]
[-1,5,-4,2,-3] => [-1,-5,-4,2,-3]
[-1,5,-4,-2,3] => [-1,-5,-2,-4,3]
[-1,5,-4,-2,-3] => [-5,-1,-4,-2,-3]
[-1,-5,4,2,3] => [5,-1,4,2,3]
[-1,-5,4,2,-3] => [-1,5,2,4,-3]
[-1,-5,4,-2,3] => [-1,5,4,-2,3]
[-1,-5,4,-2,-3] => [5,-1,-2,4,-3]
[-1,-5,-4,2,3] => [-1,5,2,-4,3]
[-1,-5,-4,2,-3] => [5,-1,-4,2,-3]
[-1,-5,-4,-2,3] => [5,-1,-2,-4,3]
[-1,-5,-4,-2,-3] => [5,-4,-1,-2,-3]
[1,5,4,3,2] => [-4,3,-5,1,2]
[1,5,4,3,-2] => [-4,1,3,-5,-2]
[1,5,4,-3,2] => [-5,1,3,4,2]
[1,5,4,-3,-2] => [5,-3,1,4,-2]
[1,5,-4,3,2] => [-5,-3,1,-4,2]
[1,5,-4,3,-2] => [1,5,3,-4,-2]
[1,5,-4,-3,2] => [1,-4,-3,5,2]
[1,5,-4,-3,-2] => [-4,1,-3,5,-2]
[1,-5,4,3,2] => [4,1,3,-5,2]
[1,-5,4,3,-2] => [1,4,3,-5,-2]
[1,-5,4,-3,2] => [1,-5,-3,4,2]
[1,-5,4,-3,-2] => [5,3,1,4,-2]
[1,-5,-4,3,2] => [-5,3,1,-4,2]
[1,-5,-4,3,-2] => [5,1,-3,-4,-2]
[1,-5,-4,-3,2] => [4,1,-3,5,2]
[1,-5,-4,-3,-2] => [4,-3,5,1,-2]
[-1,5,4,3,2] => [-4,3,-5,-1,2]
[-1,5,4,3,-2] => [-4,-1,3,-5,-2]
[-1,5,4,-3,2] => [-5,-1,3,4,2]
[-1,5,4,-3,-2] => [5,-3,-1,4,-2]
[-1,5,-4,3,2] => [-5,-3,-1,-4,2]
[-1,5,-4,3,-2] => [-1,5,3,-4,-2]
-----------------------------------------------------------------------------
Created: Sep 27, 2020 at 21:49 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Sep 27, 2020 at 21:49 by Martin Rubey