************************************************************************
* 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: Mp00166
------------------------------------------------------------------------
Map name: even cycle type
------------------------------------------------------------------------
Domain: Signed permutations
------------------------------------------------------------------------
Codomain: Integer partitions
------------------------------------------------------------------------
Description: The partition corresponding to the even cycles.
A cycle of length $\ell$ of a signed permutation $\pi$ can be written in two line notation as
$$\begin{array}{cccc}
a_1 & a_2 & \dots & a_\ell \\
\pi(a_1) & \pi(a_2) & \dots & \pi(a_\ell)
\end{array}$$
where $a_i > 0$ for all $i$, $a_{i+1} = |\pi(a_i)|$ for $i < \ell$ and $a_1 = |\pi(a_\ell)|$.
The cycle is even, if the number of negative elements in the second row is even.
This map records the integer partition given by the lengths of the odd cycles.
The integer partition of even cycles together with the integer partition of the odd cycles determines the conjugacy class of the signed permutation.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def to_cycles(tau):
"""
Each cycle records the images of the absolute value of the
previous element.
"""
tau = list(tau)
n = len(tau)
groundset = set(range(1, n+1))
cycles = []
while groundset:
i = groundset.pop()
tau_i = tau[abs(i)-1]
abs_tau_i = abs(tau_i)
cycle = [tau_i]
while i != abs_tau_i:
groundset.remove(abs_tau_i)
tau_i = tau[abs_tau_i-1]
abs_tau_i = abs(tau_i)
cycle.append(tau_i)
cycles.append(cycle)
return cycles
def cycle_type(tau):
la = []
mu = []
for cycle in to_cycles(tau):
if prod(sign(i) for i in cycle) == 1:
la.append(len(cycle))
else:
mu.append(len(cycle))
return (Partition(sorted(la, reverse=True)), Partition(sorted(mu, reverse=True)))
def mapping(tau):
return cycle_type(tau)[0]
------------------------------------------------------------------------
Map images:
[1] => [1]
[-1] => []
[1,2] => [1,1]
[1,-2] => [1]
[-1,2] => [1]
[-1,-2] => []
[2,1] => [2]
[2,-1] => []
[-2,1] => []
[-2,-1] => [2]
[1,2,3] => [1,1,1]
[1,2,-3] => [1,1]
[1,-2,3] => [1,1]
[1,-2,-3] => [1]
[-1,2,3] => [1,1]
[-1,2,-3] => [1]
[-1,-2,3] => [1]
[-1,-2,-3] => []
[1,3,2] => [2,1]
[1,3,-2] => [1]
[1,-3,2] => [1]
[1,-3,-2] => [2,1]
[-1,3,2] => [2]
[-1,3,-2] => []
[-1,-3,2] => []
[-1,-3,-2] => [2]
[2,1,3] => [2,1]
[2,1,-3] => [2]
[2,-1,3] => [1]
[2,-1,-3] => []
[-2,1,3] => [1]
[-2,1,-3] => []
[-2,-1,3] => [2,1]
[-2,-1,-3] => [2]
[2,3,1] => [3]
[2,3,-1] => []
[2,-3,1] => []
[2,-3,-1] => [3]
[-2,3,1] => []
[-2,3,-1] => [3]
[-2,-3,1] => [3]
[-2,-3,-1] => []
[3,1,2] => [3]
[3,1,-2] => []
[3,-1,2] => []
[3,-1,-2] => [3]
[-3,1,2] => []
[-3,1,-2] => [3]
[-3,-1,2] => [3]
[-3,-1,-2] => []
[3,2,1] => [2,1]
[3,2,-1] => [1]
[3,-2,1] => [2]
[3,-2,-1] => []
[-3,2,1] => [1]
[-3,2,-1] => [2,1]
[-3,-2,1] => []
[-3,-2,-1] => [2]
[1,2,3,4] => [1,1,1,1]
[1,2,3,-4] => [1,1,1]
[1,2,-3,4] => [1,1,1]
[1,2,-3,-4] => [1,1]
[1,-2,3,4] => [1,1,1]
[1,-2,3,-4] => [1,1]
[1,-2,-3,4] => [1,1]
[1,-2,-3,-4] => [1]
[-1,2,3,4] => [1,1,1]
[-1,2,3,-4] => [1,1]
[-1,2,-3,4] => [1,1]
[-1,2,-3,-4] => [1]
[-1,-2,3,4] => [1,1]
[-1,-2,3,-4] => [1]
[-1,-2,-3,4] => [1]
[-1,-2,-3,-4] => []
[1,2,4,3] => [2,1,1]
[1,2,4,-3] => [1,1]
[1,2,-4,3] => [1,1]
[1,2,-4,-3] => [2,1,1]
[1,-2,4,3] => [2,1]
[1,-2,4,-3] => [1]
[1,-2,-4,3] => [1]
[1,-2,-4,-3] => [2,1]
[-1,2,4,3] => [2,1]
[-1,2,4,-3] => [1]
[-1,2,-4,3] => [1]
[-1,2,-4,-3] => [2,1]
[-1,-2,4,3] => [2]
[-1,-2,4,-3] => []
[-1,-2,-4,3] => []
[-1,-2,-4,-3] => [2]
[1,3,2,4] => [2,1,1]
[1,3,2,-4] => [2,1]
[1,3,-2,4] => [1,1]
[1,3,-2,-4] => [1]
[1,-3,2,4] => [1,1]
[1,-3,2,-4] => [1]
[1,-3,-2,4] => [2,1,1]
[1,-3,-2,-4] => [2,1]
[-1,3,2,4] => [2,1]
[-1,3,2,-4] => [2]
[-1,3,-2,4] => [1]
[-1,3,-2,-4] => []
[-1,-3,2,4] => [1]
[-1,-3,2,-4] => []
[-1,-3,-2,4] => [2,1]
[-1,-3,-2,-4] => [2]
[1,3,4,2] => [3,1]
[1,3,4,-2] => [1]
[1,3,-4,2] => [1]
[1,3,-4,-2] => [3,1]
[1,-3,4,2] => [1]
[1,-3,4,-2] => [3,1]
[1,-3,-4,2] => [3,1]
[1,-3,-4,-2] => [1]
[-1,3,4,2] => [3]
[-1,3,4,-2] => []
[-1,3,-4,2] => []
[-1,3,-4,-2] => [3]
[-1,-3,4,2] => []
[-1,-3,4,-2] => [3]
[-1,-3,-4,2] => [3]
[-1,-3,-4,-2] => []
[1,4,2,3] => [3,1]
[1,4,2,-3] => [1]
[1,4,-2,3] => [1]
[1,4,-2,-3] => [3,1]
[1,-4,2,3] => [1]
[1,-4,2,-3] => [3,1]
[1,-4,-2,3] => [3,1]
[1,-4,-2,-3] => [1]
[-1,4,2,3] => [3]
[-1,4,2,-3] => []
[-1,4,-2,3] => []
[-1,4,-2,-3] => [3]
[-1,-4,2,3] => []
[-1,-4,2,-3] => [3]
[-1,-4,-2,3] => [3]
[-1,-4,-2,-3] => []
[1,4,3,2] => [2,1,1]
[1,4,3,-2] => [1,1]
[1,4,-3,2] => [2,1]
[1,4,-3,-2] => [1]
[1,-4,3,2] => [1,1]
[1,-4,3,-2] => [2,1,1]
[1,-4,-3,2] => [1]
[1,-4,-3,-2] => [2,1]
[-1,4,3,2] => [2,1]
[-1,4,3,-2] => [1]
[-1,4,-3,2] => [2]
[-1,4,-3,-2] => []
[-1,-4,3,2] => [1]
[-1,-4,3,-2] => [2,1]
[-1,-4,-3,2] => []
[-1,-4,-3,-2] => [2]
[2,1,3,4] => [2,1,1]
[2,1,3,-4] => [2,1]
[2,1,-3,4] => [2,1]
[2,1,-3,-4] => [2]
[2,-1,3,4] => [1,1]
[2,-1,3,-4] => [1]
[2,-1,-3,4] => [1]
[2,-1,-3,-4] => []
[-2,1,3,4] => [1,1]
[-2,1,3,-4] => [1]
[-2,1,-3,4] => [1]
[-2,1,-3,-4] => []
[-2,-1,3,4] => [2,1,1]
[-2,-1,3,-4] => [2,1]
[-2,-1,-3,4] => [2,1]
[-2,-1,-3,-4] => [2]
[2,1,4,3] => [2,2]
[2,1,4,-3] => [2]
[2,1,-4,3] => [2]
[2,1,-4,-3] => [2,2]
[2,-1,4,3] => [2]
[2,-1,4,-3] => []
[2,-1,-4,3] => []
[2,-1,-4,-3] => [2]
[-2,1,4,3] => [2]
[-2,1,4,-3] => []
[-2,1,-4,3] => []
[-2,1,-4,-3] => [2]
[-2,-1,4,3] => [2,2]
[-2,-1,4,-3] => [2]
[-2,-1,-4,3] => [2]
[-2,-1,-4,-3] => [2,2]
[2,3,1,4] => [3,1]
[2,3,1,-4] => [3]
[2,3,-1,4] => [1]
[2,3,-1,-4] => []
[2,-3,1,4] => [1]
[2,-3,1,-4] => []
[2,-3,-1,4] => [3,1]
[2,-3,-1,-4] => [3]
[-2,3,1,4] => [1]
[-2,3,1,-4] => []
[-2,3,-1,4] => [3,1]
[-2,3,-1,-4] => [3]
[-2,-3,1,4] => [3,1]
[-2,-3,1,-4] => [3]
[-2,-3,-1,4] => [1]
[-2,-3,-1,-4] => []
[2,3,4,1] => [4]
[2,3,4,-1] => []
[2,3,-4,1] => []
[2,3,-4,-1] => [4]
[2,-3,4,1] => []
[2,-3,4,-1] => [4]
[2,-3,-4,1] => [4]
[2,-3,-4,-1] => []
[-2,3,4,1] => []
[-2,3,4,-1] => [4]
[-2,3,-4,1] => [4]
[-2,3,-4,-1] => []
[-2,-3,4,1] => [4]
[-2,-3,4,-1] => []
[-2,-3,-4,1] => []
[-2,-3,-4,-1] => [4]
[2,4,1,3] => [4]
[2,4,1,-3] => []
[2,4,-1,3] => []
[2,4,-1,-3] => [4]
[2,-4,1,3] => []
[2,-4,1,-3] => [4]
[2,-4,-1,3] => [4]
[2,-4,-1,-3] => []
[-2,4,1,3] => []
[-2,4,1,-3] => [4]
[-2,4,-1,3] => [4]
[-2,4,-1,-3] => []
[-2,-4,1,3] => [4]
[-2,-4,1,-3] => []
[-2,-4,-1,3] => []
[-2,-4,-1,-3] => [4]
[2,4,3,1] => [3,1]
[2,4,3,-1] => [1]
[2,4,-3,1] => [3]
[2,4,-3,-1] => []
[2,-4,3,1] => [1]
[2,-4,3,-1] => [3,1]
[2,-4,-3,1] => []
[2,-4,-3,-1] => [3]
[-2,4,3,1] => [1]
[-2,4,3,-1] => [3,1]
[-2,4,-3,1] => []
[-2,4,-3,-1] => [3]
[-2,-4,3,1] => [3,1]
[-2,-4,3,-1] => [1]
[-2,-4,-3,1] => [3]
[-2,-4,-3,-1] => []
[3,1,2,4] => [3,1]
[3,1,2,-4] => [3]
[3,1,-2,4] => [1]
[3,1,-2,-4] => []
[3,-1,2,4] => [1]
[3,-1,2,-4] => []
[3,-1,-2,4] => [3,1]
[3,-1,-2,-4] => [3]
[-3,1,2,4] => [1]
[-3,1,2,-4] => []
[-3,1,-2,4] => [3,1]
[-3,1,-2,-4] => [3]
[-3,-1,2,4] => [3,1]
[-3,-1,2,-4] => [3]
[-3,-1,-2,4] => [1]
[-3,-1,-2,-4] => []
[3,1,4,2] => [4]
[3,1,4,-2] => []
[3,1,-4,2] => []
[3,1,-4,-2] => [4]
[3,-1,4,2] => []
[3,-1,4,-2] => [4]
[3,-1,-4,2] => [4]
[3,-1,-4,-2] => []
[-3,1,4,2] => []
[-3,1,4,-2] => [4]
[-3,1,-4,2] => [4]
[-3,1,-4,-2] => []
[-3,-1,4,2] => [4]
[-3,-1,4,-2] => []
[-3,-1,-4,2] => []
[-3,-1,-4,-2] => [4]
[3,2,1,4] => [2,1,1]
[3,2,1,-4] => [2,1]
[3,2,-1,4] => [1,1]
[3,2,-1,-4] => [1]
[3,-2,1,4] => [2,1]
[3,-2,1,-4] => [2]
[3,-2,-1,4] => [1]
[3,-2,-1,-4] => []
[-3,2,1,4] => [1,1]
[-3,2,1,-4] => [1]
[-3,2,-1,4] => [2,1,1]
[-3,2,-1,-4] => [2,1]
[-3,-2,1,4] => [1]
[-3,-2,1,-4] => []
[-3,-2,-1,4] => [2,1]
[-3,-2,-1,-4] => [2]
[3,2,4,1] => [3,1]
[3,2,4,-1] => [1]
[3,2,-4,1] => [1]
[3,2,-4,-1] => [3,1]
[3,-2,4,1] => [3]
[3,-2,4,-1] => []
[3,-2,-4,1] => []
[3,-2,-4,-1] => [3]
[-3,2,4,1] => [1]
[-3,2,4,-1] => [3,1]
[-3,2,-4,1] => [3,1]
[-3,2,-4,-1] => [1]
[-3,-2,4,1] => []
[-3,-2,4,-1] => [3]
[-3,-2,-4,1] => [3]
[-3,-2,-4,-1] => []
[3,4,1,2] => [2,2]
[3,4,1,-2] => [2]
[3,4,-1,2] => [2]
[3,4,-1,-2] => []
[3,-4,1,2] => [2]
[3,-4,1,-2] => [2,2]
[3,-4,-1,2] => []
[3,-4,-1,-2] => [2]
[-3,4,1,2] => [2]
[-3,4,1,-2] => []
[-3,4,-1,2] => [2,2]
[-3,4,-1,-2] => [2]
[-3,-4,1,2] => []
[-3,-4,1,-2] => [2]
[-3,-4,-1,2] => [2]
[-3,-4,-1,-2] => [2,2]
[3,4,2,1] => [4]
[3,4,2,-1] => []
[3,4,-2,1] => []
[3,4,-2,-1] => [4]
[3,-4,2,1] => []
[3,-4,2,-1] => [4]
[3,-4,-2,1] => [4]
[3,-4,-2,-1] => []
[-3,4,2,1] => []
[-3,4,2,-1] => [4]
[-3,4,-2,1] => [4]
[-3,4,-2,-1] => []
[-3,-4,2,1] => [4]
[-3,-4,2,-1] => []
[-3,-4,-2,1] => []
[-3,-4,-2,-1] => [4]
[4,1,2,3] => [4]
[4,1,2,-3] => []
[4,1,-2,3] => []
[4,1,-2,-3] => [4]
[4,-1,2,3] => []
[4,-1,2,-3] => [4]
[4,-1,-2,3] => [4]
[4,-1,-2,-3] => []
[-4,1,2,3] => []
[-4,1,2,-3] => [4]
[-4,1,-2,3] => [4]
[-4,1,-2,-3] => []
[-4,-1,2,3] => [4]
[-4,-1,2,-3] => []
[-4,-1,-2,3] => []
[-4,-1,-2,-3] => [4]
[4,1,3,2] => [3,1]
[4,1,3,-2] => [1]
[4,1,-3,2] => [3]
[4,1,-3,-2] => []
[4,-1,3,2] => [1]
[4,-1,3,-2] => [3,1]
[4,-1,-3,2] => []
[4,-1,-3,-2] => [3]
[-4,1,3,2] => [1]
[-4,1,3,-2] => [3,1]
[-4,1,-3,2] => []
[-4,1,-3,-2] => [3]
[-4,-1,3,2] => [3,1]
[-4,-1,3,-2] => [1]
[-4,-1,-3,2] => [3]
[-4,-1,-3,-2] => []
[4,2,1,3] => [3,1]
[4,2,1,-3] => [1]
[4,2,-1,3] => [1]
[4,2,-1,-3] => [3,1]
[4,-2,1,3] => [3]
[4,-2,1,-3] => []
[4,-2,-1,3] => []
[4,-2,-1,-3] => [3]
[-4,2,1,3] => [1]
[-4,2,1,-3] => [3,1]
[-4,2,-1,3] => [3,1]
[-4,2,-1,-3] => [1]
[-4,-2,1,3] => []
[-4,-2,1,-3] => [3]
[-4,-2,-1,3] => [3]
[-4,-2,-1,-3] => []
[4,2,3,1] => [2,1,1]
[4,2,3,-1] => [1,1]
[4,2,-3,1] => [2,1]
[4,2,-3,-1] => [1]
[4,-2,3,1] => [2,1]
[4,-2,3,-1] => [1]
[4,-2,-3,1] => [2]
[4,-2,-3,-1] => []
[-4,2,3,1] => [1,1]
[-4,2,3,-1] => [2,1,1]
[-4,2,-3,1] => [1]
[-4,2,-3,-1] => [2,1]
[-4,-2,3,1] => [1]
[-4,-2,3,-1] => [2,1]
[-4,-2,-3,1] => []
[-4,-2,-3,-1] => [2]
[4,3,1,2] => [4]
[4,3,1,-2] => []
[4,3,-1,2] => []
[4,3,-1,-2] => [4]
[4,-3,1,2] => []
[4,-3,1,-2] => [4]
[4,-3,-1,2] => [4]
[4,-3,-1,-2] => []
[-4,3,1,2] => []
[-4,3,1,-2] => [4]
[-4,3,-1,2] => [4]
[-4,3,-1,-2] => []
[-4,-3,1,2] => [4]
[-4,-3,1,-2] => []
[-4,-3,-1,2] => []
[-4,-3,-1,-2] => [4]
[4,3,2,1] => [2,2]
[4,3,2,-1] => [2]
[4,3,-2,1] => [2]
[4,3,-2,-1] => []
[4,-3,2,1] => [2]
[4,-3,2,-1] => []
[4,-3,-2,1] => [2,2]
[4,-3,-2,-1] => [2]
[-4,3,2,1] => [2]
[-4,3,2,-1] => [2,2]
[-4,3,-2,1] => []
[-4,3,-2,-1] => [2]
[-4,-3,2,1] => []
[-4,-3,2,-1] => [2]
[-4,-3,-2,1] => [2]
[-4,-3,-2,-1] => [2,2]
[1,2,3,4,5] => [1,1,1,1,1]
[1,2,3,4,-5] => [1,1,1,1]
[1,2,3,-4,5] => [1,1,1,1]
[1,2,3,-4,-5] => [1,1,1]
[1,2,-3,4,5] => [1,1,1,1]
[1,2,-3,4,-5] => [1,1,1]
[1,2,-3,-4,5] => [1,1,1]
[1,2,-3,-4,-5] => [1,1]
[1,-2,3,4,5] => [1,1,1,1]
[1,-2,3,4,-5] => [1,1,1]
[1,-2,3,-4,5] => [1,1,1]
[1,-2,3,-4,-5] => [1,1]
[1,-2,-3,4,5] => [1,1,1]
[1,-2,-3,4,-5] => [1,1]
[1,-2,-3,-4,5] => [1,1]
[1,-2,-3,-4,-5] => [1]
[-1,2,3,4,5] => [1,1,1,1]
[-1,2,3,4,-5] => [1,1,1]
[-1,2,3,-4,5] => [1,1,1]
[-1,2,3,-4,-5] => [1,1]
[-1,2,-3,4,5] => [1,1,1]
[-1,2,-3,4,-5] => [1,1]
[-1,2,-3,-4,5] => [1,1]
[-1,2,-3,-4,-5] => [1]
[-1,-2,3,4,5] => [1,1,1]
[-1,-2,3,4,-5] => [1,1]
[-1,-2,3,-4,5] => [1,1]
[-1,-2,3,-4,-5] => [1]
[-1,-2,-3,4,5] => [1,1]
[-1,-2,-3,4,-5] => [1]
[-1,-2,-3,-4,5] => [1]
[-1,-2,-3,-4,-5] => []
[1,2,3,5,4] => [2,1,1,1]
[1,2,3,5,-4] => [1,1,1]
[1,2,3,-5,4] => [1,1,1]
[1,2,3,-5,-4] => [2,1,1,1]
[1,2,-3,5,4] => [2,1,1]
[1,2,-3,5,-4] => [1,1]
[1,2,-3,-5,4] => [1,1]
[1,2,-3,-5,-4] => [2,1,1]
[1,-2,3,5,4] => [2,1,1]
[1,-2,3,5,-4] => [1,1]
[1,-2,3,-5,4] => [1,1]
[1,-2,3,-5,-4] => [2,1,1]
[1,-2,-3,5,4] => [2,1]
[1,-2,-3,5,-4] => [1]
[1,-2,-3,-5,4] => [1]
[1,-2,-3,-5,-4] => [2,1]
[-1,2,3,5,4] => [2,1,1]
[-1,2,3,5,-4] => [1,1]
[-1,2,3,-5,4] => [1,1]
[-1,2,3,-5,-4] => [2,1,1]
[-1,2,-3,5,4] => [2,1]
[-1,2,-3,5,-4] => [1]
[-1,2,-3,-5,4] => [1]
[-1,2,-3,-5,-4] => [2,1]
[-1,-2,3,5,4] => [2,1]
[-1,-2,3,5,-4] => [1]
[-1,-2,3,-5,4] => [1]
[-1,-2,3,-5,-4] => [2,1]
[-1,-2,-3,5,4] => [2]
[-1,-2,-3,5,-4] => []
[-1,-2,-3,-5,4] => []
[-1,-2,-3,-5,-4] => [2]
[1,2,4,3,5] => [2,1,1,1]
[1,2,4,3,-5] => [2,1,1]
[1,2,4,-3,5] => [1,1,1]
[1,2,4,-3,-5] => [1,1]
[1,2,-4,3,5] => [1,1,1]
[1,2,-4,3,-5] => [1,1]
[1,2,-4,-3,5] => [2,1,1,1]
[1,2,-4,-3,-5] => [2,1,1]
[1,-2,4,3,5] => [2,1,1]
[1,-2,4,3,-5] => [2,1]
[1,-2,4,-3,5] => [1,1]
[1,-2,4,-3,-5] => [1]
[1,-2,-4,3,5] => [1,1]
[1,-2,-4,3,-5] => [1]
[1,-2,-4,-3,5] => [2,1,1]
[1,-2,-4,-3,-5] => [2,1]
[-1,2,4,3,5] => [2,1,1]
[-1,2,4,3,-5] => [2,1]
[-1,2,4,-3,5] => [1,1]
[-1,2,4,-3,-5] => [1]
[-1,2,-4,3,5] => [1,1]
[-1,2,-4,3,-5] => [1]
[-1,2,-4,-3,5] => [2,1,1]
[-1,2,-4,-3,-5] => [2,1]
[-1,-2,4,3,5] => [2,1]
[-1,-2,4,3,-5] => [2]
[-1,-2,4,-3,5] => [1]
[-1,-2,4,-3,-5] => []
[-1,-2,-4,3,5] => [1]
[-1,-2,-4,3,-5] => []
[-1,-2,-4,-3,5] => [2,1]
[-1,-2,-4,-3,-5] => [2]
[1,2,4,5,3] => [3,1,1]
[1,2,4,5,-3] => [1,1]
[1,2,4,-5,3] => [1,1]
[1,2,4,-5,-3] => [3,1,1]
[1,2,-4,5,3] => [1,1]
[1,2,-4,5,-3] => [3,1,1]
[1,2,-4,-5,3] => [3,1,1]
[1,2,-4,-5,-3] => [1,1]
[1,-2,4,5,3] => [3,1]
[1,-2,4,5,-3] => [1]
[1,-2,4,-5,3] => [1]
[1,-2,4,-5,-3] => [3,1]
[1,-2,-4,5,3] => [1]
[1,-2,-4,5,-3] => [3,1]
[1,-2,-4,-5,3] => [3,1]
[1,-2,-4,-5,-3] => [1]
[-1,2,4,5,3] => [3,1]
[-1,2,4,5,-3] => [1]
[-1,2,4,-5,3] => [1]
[-1,2,4,-5,-3] => [3,1]
[-1,2,-4,5,3] => [1]
[-1,2,-4,5,-3] => [3,1]
[-1,2,-4,-5,3] => [3,1]
[-1,2,-4,-5,-3] => [1]
[-1,-2,4,5,3] => [3]
[-1,-2,4,5,-3] => []
[-1,-2,4,-5,3] => []
[-1,-2,4,-5,-3] => [3]
[-1,-2,-4,5,3] => []
[-1,-2,-4,5,-3] => [3]
[-1,-2,-4,-5,3] => [3]
[-1,-2,-4,-5,-3] => []
[1,2,5,3,4] => [3,1,1]
[1,2,5,3,-4] => [1,1]
[1,2,5,-3,4] => [1,1]
[1,2,5,-3,-4] => [3,1,1]
[1,2,-5,3,4] => [1,1]
[1,2,-5,3,-4] => [3,1,1]
[1,2,-5,-3,4] => [3,1,1]
[1,2,-5,-3,-4] => [1,1]
[1,-2,5,3,4] => [3,1]
[1,-2,5,3,-4] => [1]
[1,-2,5,-3,4] => [1]
[1,-2,5,-3,-4] => [3,1]
[1,-2,-5,3,4] => [1]
[1,-2,-5,3,-4] => [3,1]
[1,-2,-5,-3,4] => [3,1]
[1,-2,-5,-3,-4] => [1]
[-1,2,5,3,4] => [3,1]
[-1,2,5,3,-4] => [1]
[-1,2,5,-3,4] => [1]
[-1,2,5,-3,-4] => [3,1]
[-1,2,-5,3,4] => [1]
[-1,2,-5,3,-4] => [3,1]
[-1,2,-5,-3,4] => [3,1]
[-1,2,-5,-3,-4] => [1]
[-1,-2,5,3,4] => [3]
[-1,-2,5,3,-4] => []
[-1,-2,5,-3,4] => []
[-1,-2,5,-3,-4] => [3]
[-1,-2,-5,3,4] => []
[-1,-2,-5,3,-4] => [3]
[-1,-2,-5,-3,4] => [3]
[-1,-2,-5,-3,-4] => []
[1,2,5,4,3] => [2,1,1,1]
[1,2,5,4,-3] => [1,1,1]
[1,2,5,-4,3] => [2,1,1]
[1,2,5,-4,-3] => [1,1]
[1,2,-5,4,3] => [1,1,1]
[1,2,-5,4,-3] => [2,1,1,1]
[1,2,-5,-4,3] => [1,1]
[1,2,-5,-4,-3] => [2,1,1]
[1,-2,5,4,3] => [2,1,1]
[1,-2,5,4,-3] => [1,1]
[1,-2,5,-4,3] => [2,1]
[1,-2,5,-4,-3] => [1]
[1,-2,-5,4,3] => [1,1]
[1,-2,-5,4,-3] => [2,1,1]
[1,-2,-5,-4,3] => [1]
[1,-2,-5,-4,-3] => [2,1]
[-1,2,5,4,3] => [2,1,1]
[-1,2,5,4,-3] => [1,1]
[-1,2,5,-4,3] => [2,1]
[-1,2,5,-4,-3] => [1]
[-1,2,-5,4,3] => [1,1]
[-1,2,-5,4,-3] => [2,1,1]
[-1,2,-5,-4,3] => [1]
[-1,2,-5,-4,-3] => [2,1]
[-1,-2,5,4,3] => [2,1]
[-1,-2,5,4,-3] => [1]
[-1,-2,5,-4,3] => [2]
[-1,-2,5,-4,-3] => []
[-1,-2,-5,4,3] => [1]
[-1,-2,-5,4,-3] => [2,1]
[-1,-2,-5,-4,3] => []
[-1,-2,-5,-4,-3] => [2]
[1,3,2,4,5] => [2,1,1,1]
[1,3,2,4,-5] => [2,1,1]
[1,3,2,-4,5] => [2,1,1]
[1,3,2,-4,-5] => [2,1]
[1,3,-2,4,5] => [1,1,1]
[1,3,-2,4,-5] => [1,1]
[1,3,-2,-4,5] => [1,1]
[1,3,-2,-4,-5] => [1]
[1,-3,2,4,5] => [1,1,1]
[1,-3,2,4,-5] => [1,1]
[1,-3,2,-4,5] => [1,1]
[1,-3,2,-4,-5] => [1]
[1,-3,-2,4,5] => [2,1,1,1]
[1,-3,-2,4,-5] => [2,1,1]
[1,-3,-2,-4,5] => [2,1,1]
[1,-3,-2,-4,-5] => [2,1]
[-1,3,2,4,5] => [2,1,1]
[-1,3,2,4,-5] => [2,1]
[-1,3,2,-4,5] => [2,1]
[-1,3,2,-4,-5] => [2]
[-1,3,-2,4,5] => [1,1]
[-1,3,-2,4,-5] => [1]
[-1,3,-2,-4,5] => [1]
[-1,3,-2,-4,-5] => []
[-1,-3,2,4,5] => [1,1]
[-1,-3,2,4,-5] => [1]
[-1,-3,2,-4,5] => [1]
[-1,-3,2,-4,-5] => []
[-1,-3,-2,4,5] => [2,1,1]
[-1,-3,-2,4,-5] => [2,1]
[-1,-3,-2,-4,5] => [2,1]
[-1,-3,-2,-4,-5] => [2]
[1,3,2,5,4] => [2,2,1]
[1,3,2,5,-4] => [2,1]
[1,3,2,-5,4] => [2,1]
[1,3,2,-5,-4] => [2,2,1]
[1,3,-2,5,4] => [2,1]
[1,3,-2,5,-4] => [1]
[1,3,-2,-5,4] => [1]
[1,3,-2,-5,-4] => [2,1]
[1,-3,2,5,4] => [2,1]
[1,-3,2,5,-4] => [1]
[1,-3,2,-5,4] => [1]
[1,-3,2,-5,-4] => [2,1]
[1,-3,-2,5,4] => [2,2,1]
[1,-3,-2,5,-4] => [2,1]
[1,-3,-2,-5,4] => [2,1]
[1,-3,-2,-5,-4] => [2,2,1]
[-1,3,2,5,4] => [2,2]
[-1,3,2,5,-4] => [2]
[-1,3,2,-5,4] => [2]
[-1,3,2,-5,-4] => [2,2]
[-1,3,-2,5,4] => [2]
[-1,3,-2,5,-4] => []
[-1,3,-2,-5,4] => []
[-1,3,-2,-5,-4] => [2]
[-1,-3,2,5,4] => [2]
[-1,-3,2,5,-4] => []
[-1,-3,2,-5,4] => []
[-1,-3,2,-5,-4] => [2]
[-1,-3,-2,5,4] => [2,2]
[-1,-3,-2,5,-4] => [2]
[-1,-3,-2,-5,4] => [2]
[-1,-3,-2,-5,-4] => [2,2]
[1,3,4,2,5] => [3,1,1]
[1,3,4,2,-5] => [3,1]
[1,3,4,-2,5] => [1,1]
[1,3,4,-2,-5] => [1]
[1,3,-4,2,5] => [1,1]
[1,3,-4,2,-5] => [1]
[1,3,-4,-2,5] => [3,1,1]
[1,3,-4,-2,-5] => [3,1]
[1,-3,4,2,5] => [1,1]
[1,-3,4,2,-5] => [1]
[1,-3,4,-2,5] => [3,1,1]
[1,-3,4,-2,-5] => [3,1]
[1,-3,-4,2,5] => [3,1,1]
[1,-3,-4,2,-5] => [3,1]
[1,-3,-4,-2,5] => [1,1]
[1,-3,-4,-2,-5] => [1]
[-1,3,4,2,5] => [3,1]
[-1,3,4,2,-5] => [3]
[-1,3,4,-2,5] => [1]
[-1,3,4,-2,-5] => []
[-1,3,-4,2,5] => [1]
[-1,3,-4,2,-5] => []
[-1,3,-4,-2,5] => [3,1]
[-1,3,-4,-2,-5] => [3]
[-1,-3,4,2,5] => [1]
[-1,-3,4,2,-5] => []
[-1,-3,4,-2,5] => [3,1]
[-1,-3,4,-2,-5] => [3]
[-1,-3,-4,2,5] => [3,1]
[-1,-3,-4,2,-5] => [3]
[-1,-3,-4,-2,5] => [1]
[-1,-3,-4,-2,-5] => []
[1,3,4,5,2] => [4,1]
[1,3,4,5,-2] => [1]
[1,3,4,-5,2] => [1]
[1,3,4,-5,-2] => [4,1]
[1,3,-4,5,2] => [1]
[1,3,-4,5,-2] => [4,1]
[1,3,-4,-5,2] => [4,1]
[1,3,-4,-5,-2] => [1]
[1,-3,4,5,2] => [1]
[1,-3,4,5,-2] => [4,1]
[1,-3,4,-5,2] => [4,1]
[1,-3,4,-5,-2] => [1]
[1,-3,-4,5,2] => [4,1]
[1,-3,-4,5,-2] => [1]
[1,-3,-4,-5,2] => [1]
[1,-3,-4,-5,-2] => [4,1]
[-1,3,4,5,2] => [4]
[-1,3,4,5,-2] => []
[-1,3,4,-5,2] => []
[-1,3,4,-5,-2] => [4]
[-1,3,-4,5,2] => []
[-1,3,-4,5,-2] => [4]
[-1,3,-4,-5,2] => [4]
[-1,3,-4,-5,-2] => []
[-1,-3,4,5,2] => []
[-1,-3,4,5,-2] => [4]
[-1,-3,4,-5,2] => [4]
[-1,-3,4,-5,-2] => []
[-1,-3,-4,5,2] => [4]
[-1,-3,-4,5,-2] => []
[-1,-3,-4,-5,2] => []
[-1,-3,-4,-5,-2] => [4]
[1,3,5,2,4] => [4,1]
[1,3,5,2,-4] => [1]
[1,3,5,-2,4] => [1]
[1,3,5,-2,-4] => [4,1]
[1,3,-5,2,4] => [1]
[1,3,-5,2,-4] => [4,1]
[1,3,-5,-2,4] => [4,1]
[1,3,-5,-2,-4] => [1]
[1,-3,5,2,4] => [1]
[1,-3,5,2,-4] => [4,1]
[1,-3,5,-2,4] => [4,1]
[1,-3,5,-2,-4] => [1]
[1,-3,-5,2,4] => [4,1]
[1,-3,-5,2,-4] => [1]
[1,-3,-5,-2,4] => [1]
[1,-3,-5,-2,-4] => [4,1]
[-1,3,5,2,4] => [4]
[-1,3,5,2,-4] => []
[-1,3,5,-2,4] => []
[-1,3,5,-2,-4] => [4]
[-1,3,-5,2,4] => []
[-1,3,-5,2,-4] => [4]
[-1,3,-5,-2,4] => [4]
[-1,3,-5,-2,-4] => []
[-1,-3,5,2,4] => []
[-1,-3,5,2,-4] => [4]
[-1,-3,5,-2,4] => [4]
[-1,-3,5,-2,-4] => []
[-1,-3,-5,2,4] => [4]
[-1,-3,-5,2,-4] => []
[-1,-3,-5,-2,4] => []
[-1,-3,-5,-2,-4] => [4]
[1,3,5,4,2] => [3,1,1]
[1,3,5,4,-2] => [1,1]
[1,3,5,-4,2] => [3,1]
[1,3,5,-4,-2] => [1]
[1,3,-5,4,2] => [1,1]
[1,3,-5,4,-2] => [3,1,1]
[1,3,-5,-4,2] => [1]
[1,3,-5,-4,-2] => [3,1]
[1,-3,5,4,2] => [1,1]
[1,-3,5,4,-2] => [3,1,1]
[1,-3,5,-4,2] => [1]
[1,-3,5,-4,-2] => [3,1]
[1,-3,-5,4,2] => [3,1,1]
[1,-3,-5,4,-2] => [1,1]
[1,-3,-5,-4,2] => [3,1]
[1,-3,-5,-4,-2] => [1]
[-1,3,5,4,2] => [3,1]
[-1,3,5,4,-2] => [1]
[-1,3,5,-4,2] => [3]
[-1,3,5,-4,-2] => []
[-1,3,-5,4,2] => [1]
[-1,3,-5,4,-2] => [3,1]
[-1,3,-5,-4,2] => []
[-1,3,-5,-4,-2] => [3]
[-1,-3,5,4,2] => [1]
[-1,-3,5,4,-2] => [3,1]
[-1,-3,5,-4,2] => []
[-1,-3,5,-4,-2] => [3]
[-1,-3,-5,4,2] => [3,1]
[-1,-3,-5,4,-2] => [1]
[-1,-3,-5,-4,2] => [3]
[-1,-3,-5,-4,-2] => []
[1,4,2,3,5] => [3,1,1]
[1,4,2,3,-5] => [3,1]
[1,4,2,-3,5] => [1,1]
[1,4,2,-3,-5] => [1]
[1,4,-2,3,5] => [1,1]
[1,4,-2,3,-5] => [1]
[1,4,-2,-3,5] => [3,1,1]
[1,4,-2,-3,-5] => [3,1]
[1,-4,2,3,5] => [1,1]
[1,-4,2,3,-5] => [1]
[1,-4,2,-3,5] => [3,1,1]
[1,-4,2,-3,-5] => [3,1]
[1,-4,-2,3,5] => [3,1,1]
[1,-4,-2,3,-5] => [3,1]
[1,-4,-2,-3,5] => [1,1]
[1,-4,-2,-3,-5] => [1]
[-1,4,2,3,5] => [3,1]
[-1,4,2,3,-5] => [3]
[-1,4,2,-3,5] => [1]
[-1,4,2,-3,-5] => []
[-1,4,-2,3,5] => [1]
[-1,4,-2,3,-5] => []
[-1,4,-2,-3,5] => [3,1]
[-1,4,-2,-3,-5] => [3]
[-1,-4,2,3,5] => [1]
[-1,-4,2,3,-5] => []
[-1,-4,2,-3,5] => [3,1]
[-1,-4,2,-3,-5] => [3]
[-1,-4,-2,3,5] => [3,1]
[-1,-4,-2,3,-5] => [3]
[-1,-4,-2,-3,5] => [1]
[-1,-4,-2,-3,-5] => []
[1,4,2,5,3] => [4,1]
[1,4,2,5,-3] => [1]
[1,4,2,-5,3] => [1]
[1,4,2,-5,-3] => [4,1]
[1,4,-2,5,3] => [1]
[1,4,-2,5,-3] => [4,1]
[1,4,-2,-5,3] => [4,1]
[1,4,-2,-5,-3] => [1]
[1,-4,2,5,3] => [1]
[1,-4,2,5,-3] => [4,1]
[1,-4,2,-5,3] => [4,1]
[1,-4,2,-5,-3] => [1]
[1,-4,-2,5,3] => [4,1]
[1,-4,-2,5,-3] => [1]
[1,-4,-2,-5,3] => [1]
[1,-4,-2,-5,-3] => [4,1]
[-1,4,2,5,3] => [4]
[-1,4,2,5,-3] => []
[-1,4,2,-5,3] => []
[-1,4,2,-5,-3] => [4]
[-1,4,-2,5,3] => []
[-1,4,-2,5,-3] => [4]
[-1,4,-2,-5,3] => [4]
[-1,4,-2,-5,-3] => []
[-1,-4,2,5,3] => []
[-1,-4,2,5,-3] => [4]
[-1,-4,2,-5,3] => [4]
[-1,-4,2,-5,-3] => []
[-1,-4,-2,5,3] => [4]
[-1,-4,-2,5,-3] => []
[-1,-4,-2,-5,3] => []
[-1,-4,-2,-5,-3] => [4]
[1,4,3,2,5] => [2,1,1,1]
[1,4,3,2,-5] => [2,1,1]
[1,4,3,-2,5] => [1,1,1]
[1,4,3,-2,-5] => [1,1]
[1,4,-3,2,5] => [2,1,1]
[1,4,-3,2,-5] => [2,1]
[1,4,-3,-2,5] => [1,1]
[1,4,-3,-2,-5] => [1]
[1,-4,3,2,5] => [1,1,1]
[1,-4,3,2,-5] => [1,1]
[1,-4,3,-2,5] => [2,1,1,1]
[1,-4,3,-2,-5] => [2,1,1]
[1,-4,-3,2,5] => [1,1]
[1,-4,-3,2,-5] => [1]
[1,-4,-3,-2,5] => [2,1,1]
[1,-4,-3,-2,-5] => [2,1]
[-1,4,3,2,5] => [2,1,1]
[-1,4,3,2,-5] => [2,1]
[-1,4,3,-2,5] => [1,1]
[-1,4,3,-2,-5] => [1]
[-1,4,-3,2,5] => [2,1]
[-1,4,-3,2,-5] => [2]
[-1,4,-3,-2,5] => [1]
[-1,4,-3,-2,-5] => []
[-1,-4,3,2,5] => [1,1]
[-1,-4,3,2,-5] => [1]
[-1,-4,3,-2,5] => [2,1,1]
[-1,-4,3,-2,-5] => [2,1]
[-1,-4,-3,2,5] => [1]
[-1,-4,-3,2,-5] => []
[-1,-4,-3,-2,5] => [2,1]
[-1,-4,-3,-2,-5] => [2]
[1,4,3,5,2] => [3,1,1]
[1,4,3,5,-2] => [1,1]
[1,4,3,-5,2] => [1,1]
[1,4,3,-5,-2] => [3,1,1]
[1,4,-3,5,2] => [3,1]
[1,4,-3,5,-2] => [1]
[1,4,-3,-5,2] => [1]
[1,4,-3,-5,-2] => [3,1]
[1,-4,3,5,2] => [1,1]
[1,-4,3,5,-2] => [3,1,1]
[1,-4,3,-5,2] => [3,1,1]
[1,-4,3,-5,-2] => [1,1]
[1,-4,-3,5,2] => [1]
[1,-4,-3,5,-2] => [3,1]
[1,-4,-3,-5,2] => [3,1]
[1,-4,-3,-5,-2] => [1]
[-1,4,3,5,2] => [3,1]
[-1,4,3,5,-2] => [1]
[-1,4,3,-5,2] => [1]
[-1,4,3,-5,-2] => [3,1]
[-1,4,-3,5,2] => [3]
[-1,4,-3,5,-2] => []
[-1,4,-3,-5,2] => []
[-1,4,-3,-5,-2] => [3]
[-1,-4,3,5,2] => [1]
[-1,-4,3,5,-2] => [3,1]
[-1,-4,3,-5,2] => [3,1]
[-1,-4,3,-5,-2] => [1]
[-1,-4,-3,5,2] => []
[-1,-4,-3,5,-2] => [3]
[-1,-4,-3,-5,2] => [3]
[-1,-4,-3,-5,-2] => []
[1,4,5,2,3] => [2,2,1]
[1,4,5,2,-3] => [2,1]
[1,4,5,-2,3] => [2,1]
[1,4,5,-2,-3] => [1]
[1,4,-5,2,3] => [2,1]
[1,4,-5,2,-3] => [2,2,1]
[1,4,-5,-2,3] => [1]
[1,4,-5,-2,-3] => [2,1]
[1,-4,5,2,3] => [2,1]
[1,-4,5,2,-3] => [1]
[1,-4,5,-2,3] => [2,2,1]
[1,-4,5,-2,-3] => [2,1]
[1,-4,-5,2,3] => [1]
[1,-4,-5,2,-3] => [2,1]
[1,-4,-5,-2,3] => [2,1]
[1,-4,-5,-2,-3] => [2,2,1]
[-1,4,5,2,3] => [2,2]
[-1,4,5,2,-3] => [2]
[-1,4,5,-2,3] => [2]
[-1,4,5,-2,-3] => []
[-1,4,-5,2,3] => [2]
[-1,4,-5,2,-3] => [2,2]
[-1,4,-5,-2,3] => []
[-1,4,-5,-2,-3] => [2]
[-1,-4,5,2,3] => [2]
[-1,-4,5,2,-3] => []
[-1,-4,5,-2,3] => [2,2]
[-1,-4,5,-2,-3] => [2]
[-1,-4,-5,2,3] => []
[-1,-4,-5,2,-3] => [2]
[-1,-4,-5,-2,3] => [2]
[-1,-4,-5,-2,-3] => [2,2]
[1,4,5,3,2] => [4,1]
[1,4,5,3,-2] => [1]
[1,4,5,-3,2] => [1]
[1,4,5,-3,-2] => [4,1]
[1,4,-5,3,2] => [1]
[1,4,-5,3,-2] => [4,1]
[1,4,-5,-3,2] => [4,1]
[1,4,-5,-3,-2] => [1]
[1,-4,5,3,2] => [1]
[1,-4,5,3,-2] => [4,1]
[1,-4,5,-3,2] => [4,1]
[1,-4,5,-3,-2] => [1]
[1,-4,-5,3,2] => [4,1]
[1,-4,-5,3,-2] => [1]
[1,-4,-5,-3,2] => [1]
[1,-4,-5,-3,-2] => [4,1]
[-1,4,5,3,2] => [4]
[-1,4,5,3,-2] => []
[-1,4,5,-3,2] => []
[-1,4,5,-3,-2] => [4]
[-1,4,-5,3,2] => []
[-1,4,-5,3,-2] => [4]
[-1,4,-5,-3,2] => [4]
[-1,4,-5,-3,-2] => []
[-1,-4,5,3,2] => []
[-1,-4,5,3,-2] => [4]
[-1,-4,5,-3,2] => [4]
[-1,-4,5,-3,-2] => []
[-1,-4,-5,3,2] => [4]
[-1,-4,-5,3,-2] => []
[-1,-4,-5,-3,2] => []
[-1,-4,-5,-3,-2] => [4]
[1,5,2,3,4] => [4,1]
[1,5,2,3,-4] => [1]
[1,5,2,-3,4] => [1]
[1,5,2,-3,-4] => [4,1]
[1,5,-2,3,4] => [1]
[1,5,-2,3,-4] => [4,1]
[1,5,-2,-3,4] => [4,1]
[1,5,-2,-3,-4] => [1]
[1,-5,2,3,4] => [1]
[1,-5,2,3,-4] => [4,1]
[1,-5,2,-3,4] => [4,1]
[1,-5,2,-3,-4] => [1]
[1,-5,-2,3,4] => [4,1]
[1,-5,-2,3,-4] => [1]
[1,-5,-2,-3,4] => [1]
[1,-5,-2,-3,-4] => [4,1]
[-1,5,2,3,4] => [4]
[-1,5,2,3,-4] => []
[-1,5,2,-3,4] => []
[-1,5,2,-3,-4] => [4]
[-1,5,-2,3,4] => []
[-1,5,-2,3,-4] => [4]
[-1,5,-2,-3,4] => [4]
[-1,5,-2,-3,-4] => []
[-1,-5,2,3,4] => []
[-1,-5,2,3,-4] => [4]
[-1,-5,2,-3,4] => [4]
[-1,-5,2,-3,-4] => []
[-1,-5,-2,3,4] => [4]
[-1,-5,-2,3,-4] => []
[-1,-5,-2,-3,4] => []
[-1,-5,-2,-3,-4] => [4]
[1,5,2,4,3] => [3,1,1]
[1,5,2,4,-3] => [1,1]
[1,5,2,-4,3] => [3,1]
[1,5,2,-4,-3] => [1]
[1,5,-2,4,3] => [1,1]
[1,5,-2,4,-3] => [3,1,1]
[1,5,-2,-4,3] => [1]
[1,5,-2,-4,-3] => [3,1]
[1,-5,2,4,3] => [1,1]
[1,-5,2,4,-3] => [3,1,1]
[1,-5,2,-4,3] => [1]
[1,-5,2,-4,-3] => [3,1]
[1,-5,-2,4,3] => [3,1,1]
[1,-5,-2,4,-3] => [1,1]
[1,-5,-2,-4,3] => [3,1]
[1,-5,-2,-4,-3] => [1]
[-1,5,2,4,3] => [3,1]
[-1,5,2,4,-3] => [1]
[-1,5,2,-4,3] => [3]
[-1,5,2,-4,-3] => []
[-1,5,-2,4,3] => [1]
[-1,5,-2,4,-3] => [3,1]
[-1,5,-2,-4,3] => []
[-1,5,-2,-4,-3] => [3]
[-1,-5,2,4,3] => [1]
[-1,-5,2,4,-3] => [3,1]
[-1,-5,2,-4,3] => []
[-1,-5,2,-4,-3] => [3]
[-1,-5,-2,4,3] => [3,1]
[-1,-5,-2,4,-3] => [1]
[-1,-5,-2,-4,3] => [3]
[-1,-5,-2,-4,-3] => []
[1,5,3,2,4] => [3,1,1]
[1,5,3,2,-4] => [1,1]
[1,5,3,-2,4] => [1,1]
[1,5,3,-2,-4] => [3,1,1]
[1,5,-3,2,4] => [3,1]
[1,5,-3,2,-4] => [1]
[1,5,-3,-2,4] => [1]
[1,5,-3,-2,-4] => [3,1]
[1,-5,3,2,4] => [1,1]
[1,-5,3,2,-4] => [3,1,1]
[1,-5,3,-2,4] => [3,1,1]
[1,-5,3,-2,-4] => [1,1]
[1,-5,-3,2,4] => [1]
[1,-5,-3,2,-4] => [3,1]
[1,-5,-3,-2,4] => [3,1]
[1,-5,-3,-2,-4] => [1]
[-1,5,3,2,4] => [3,1]
[-1,5,3,2,-4] => [1]
[-1,5,3,-2,4] => [1]
[-1,5,3,-2,-4] => [3,1]
[-1,5,-3,2,4] => [3]
[-1,5,-3,2,-4] => []
[-1,5,-3,-2,4] => []
[-1,5,-3,-2,-4] => [3]
[-1,-5,3,2,4] => [1]
[-1,-5,3,2,-4] => [3,1]
[-1,-5,3,-2,4] => [3,1]
[-1,-5,3,-2,-4] => [1]
[-1,-5,-3,2,4] => []
[-1,-5,-3,2,-4] => [3]
[-1,-5,-3,-2,4] => [3]
[-1,-5,-3,-2,-4] => []
[1,5,3,4,2] => [2,1,1,1]
[1,5,3,4,-2] => [1,1,1]
[1,5,3,-4,2] => [2,1,1]
[1,5,3,-4,-2] => [1,1]
[1,5,-3,4,2] => [2,1,1]
[1,5,-3,4,-2] => [1,1]
[1,5,-3,-4,2] => [2,1]
[1,5,-3,-4,-2] => [1]
[1,-5,3,4,2] => [1,1,1]
[1,-5,3,4,-2] => [2,1,1,1]
[1,-5,3,-4,2] => [1,1]
[1,-5,3,-4,-2] => [2,1,1]
[1,-5,-3,4,2] => [1,1]
[1,-5,-3,4,-2] => [2,1,1]
[1,-5,-3,-4,2] => [1]
[1,-5,-3,-4,-2] => [2,1]
[-1,5,3,4,2] => [2,1,1]
[-1,5,3,4,-2] => [1,1]
[-1,5,3,-4,2] => [2,1]
[-1,5,3,-4,-2] => [1]
[-1,5,-3,4,2] => [2,1]
[-1,5,-3,4,-2] => [1]
[-1,5,-3,-4,2] => [2]
[-1,5,-3,-4,-2] => []
[-1,-5,3,4,2] => [1,1]
[-1,-5,3,4,-2] => [2,1,1]
[-1,-5,3,-4,2] => [1]
[-1,-5,3,-4,-2] => [2,1]
[-1,-5,-3,4,2] => [1]
[-1,-5,-3,4,-2] => [2,1]
[-1,-5,-3,-4,2] => []
[-1,-5,-3,-4,-2] => [2]
[1,5,4,2,3] => [4,1]
[1,5,4,2,-3] => [1]
[1,5,4,-2,3] => [1]
[1,5,4,-2,-3] => [4,1]
[1,5,-4,2,3] => [1]
[1,5,-4,2,-3] => [4,1]
[1,5,-4,-2,3] => [4,1]
[1,5,-4,-2,-3] => [1]
[1,-5,4,2,3] => [1]
[1,-5,4,2,-3] => [4,1]
[1,-5,4,-2,3] => [4,1]
[1,-5,4,-2,-3] => [1]
[1,-5,-4,2,3] => [4,1]
[1,-5,-4,2,-3] => [1]
[1,-5,-4,-2,3] => [1]
[1,-5,-4,-2,-3] => [4,1]
[-1,5,4,2,3] => [4]
[-1,5,4,2,-3] => []
[-1,5,4,-2,3] => []
[-1,5,4,-2,-3] => [4]
[-1,5,-4,2,3] => []
[-1,5,-4,2,-3] => [4]
[-1,5,-4,-2,3] => [4]
[-1,5,-4,-2,-3] => []
[-1,-5,4,2,3] => []
[-1,-5,4,2,-3] => [4]
[-1,-5,4,-2,3] => [4]
[-1,-5,4,-2,-3] => []
[-1,-5,-4,2,3] => [4]
[-1,-5,-4,2,-3] => []
[-1,-5,-4,-2,3] => []
[-1,-5,-4,-2,-3] => [4]
[1,5,4,3,2] => [2,2,1]
[1,5,4,3,-2] => [2,1]
[1,5,4,-3,2] => [2,1]
[1,5,4,-3,-2] => [1]
[1,5,-4,3,2] => [2,1]
[1,5,-4,3,-2] => [1]
[1,5,-4,-3,2] => [2,2,1]
[1,5,-4,-3,-2] => [2,1]
[1,-5,4,3,2] => [2,1]
[1,-5,4,3,-2] => [2,2,1]
[1,-5,4,-3,2] => [1]
[1,-5,4,-3,-2] => [2,1]
[1,-5,-4,3,2] => [1]
[1,-5,-4,3,-2] => [2,1]
[1,-5,-4,-3,2] => [2,1]
[1,-5,-4,-3,-2] => [2,2,1]
[-1,5,4,3,2] => [2,2]
[-1,5,4,3,-2] => [2]
[-1,5,4,-3,2] => [2]
[-1,5,4,-3,-2] => []
[-1,5,-4,3,2] => [2]
[-1,5,-4,3,-2] => []
-----------------------------------------------------------------------------
Created: Sep 11, 2020 at 15:43 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Sep 11, 2020 at 15:43 by Martin Rubey