************************************************************************
* 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: Mp00235
------------------------------------------------------------------------
Map name: descent views to invisible inversion bottoms
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
* the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
* the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
* the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
* the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
* the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
------------------------------------------------------------------------
References: [1] (service unreachable) [[MathSciNet:4468204]] [[arXiv:2111.02973]]
------------------------------------------------------------------------
Code:
from sage.combinat.permutation import from_inversion_vector
def mapping(pi):
pi = Permutation(pi)
if not pi:
return pi
descent_views = []
for i in range(len(pi)-1):
if pi[i] > pi[i+1]:
i_m = i+1
while i_m < len(pi)-1 and pi[i_m+1] < pi[i_m]:
i_m += 1
for j in range(len(pi)):
if pi[i] > pi[j] > pi[i+1]:
j_m = j
while j_m < len(pi)-1 and pi[j_m+1] < pi[j_m]:
j_m += 1
if pi[j_m] > pi[i_m]:
descent_views.append(pi[j])
runs = [r[::-1] for r in reversed(pi.reverse().runs())]
l_rb = [run[-1] for run in runs]
l_rt = [run[0] for run in runs]
# compute excedences of sigma
P = sorted([i for i in range(1, len(pi)+1) if i not in l_rb])
f = [descent_views.count(v) for v in P]
f_pi = [P[j-1] for j in from_inversion_vector(f)]
sigma = [None for i in range(len(pi))]
for i in range(len(pi)):
if i+1 not in l_rt:
sigma[i] = f_pi.pop(0)
# compute deficiencies of sigma
# compute sigma_star
pi_star = Permutation(sum(sorted(runs), []))
sigma_star = sigma[:]
# in pi_star, the run-tops are precisely the lrmax,
# so the image of each run-top is its iterated preimage
for rt in l_rt:
preimage = rt
while preimage in sigma:
preimage = sigma.index(preimage) + 1
sigma_star[rt-1] = preimage
tau = {}
for run in runs:
tau[run[-1]] = sigma_star[run[0] - 1]
while runs:
run = min(runs, key=lambda r: r[0])
rt = run[0]
rb = run[-1]
r = runs.index(run)
if r > 0:
r_left = r-1
else:
r_left = r
rb_left = runs[r_left][-1]
while tau[rb_left] > rt:
rb_left = tau[rb_left]
sigma[rt-1] = tau[rb_left]
tau[rb_left] = tau[rb]
del tau[rb]
del runs[r]
return Permutation(sigma)
------------------------------------------------------------------------
Map images:
[1] => [1]
[1,2] => [1,2]
[2,1] => [2,1]
[1,2,3] => [1,2,3]
[1,3,2] => [1,3,2]
[2,1,3] => [2,1,3]
[2,3,1] => [3,2,1]
[3,1,2] => [3,1,2]
[3,2,1] => [2,3,1]
[1,2,3,4] => [1,2,3,4]
[1,2,4,3] => [1,2,4,3]
[1,3,2,4] => [1,3,2,4]
[1,3,4,2] => [1,4,3,2]
[1,4,2,3] => [1,4,2,3]
[1,4,3,2] => [1,3,4,2]
[2,1,3,4] => [2,1,3,4]
[2,1,4,3] => [2,1,4,3]
[2,3,1,4] => [3,2,1,4]
[2,3,4,1] => [4,2,3,1]
[2,4,1,3] => [4,2,1,3]
[2,4,3,1] => [3,2,4,1]
[3,1,2,4] => [3,1,2,4]
[3,1,4,2] => [3,4,1,2]
[3,2,1,4] => [2,3,1,4]
[3,2,4,1] => [4,3,2,1]
[3,4,1,2] => [4,1,3,2]
[3,4,2,1] => [2,4,3,1]
[4,1,2,3] => [4,1,2,3]
[4,1,3,2] => [4,3,1,2]
[4,2,1,3] => [2,4,1,3]
[4,2,3,1] => [3,4,2,1]
[4,3,1,2] => [3,1,4,2]
[4,3,2,1] => [2,3,4,1]
[1,2,3,4,5] => [1,2,3,4,5]
[1,2,3,5,4] => [1,2,3,5,4]
[1,2,4,3,5] => [1,2,4,3,5]
[1,2,4,5,3] => [1,2,5,4,3]
[1,2,5,3,4] => [1,2,5,3,4]
[1,2,5,4,3] => [1,2,4,5,3]
[1,3,2,4,5] => [1,3,2,4,5]
[1,3,2,5,4] => [1,3,2,5,4]
[1,3,4,2,5] => [1,4,3,2,5]
[1,3,4,5,2] => [1,5,3,4,2]
[1,3,5,2,4] => [1,5,3,2,4]
[1,3,5,4,2] => [1,4,3,5,2]
[1,4,2,3,5] => [1,4,2,3,5]
[1,4,2,5,3] => [1,4,5,2,3]
[1,4,3,2,5] => [1,3,4,2,5]
[1,4,3,5,2] => [1,5,4,3,2]
[1,4,5,2,3] => [1,5,2,4,3]
[1,4,5,3,2] => [1,3,5,4,2]
[1,5,2,3,4] => [1,5,2,3,4]
[1,5,2,4,3] => [1,5,4,2,3]
[1,5,3,2,4] => [1,3,5,2,4]
[1,5,3,4,2] => [1,4,5,3,2]
[1,5,4,2,3] => [1,4,2,5,3]
[1,5,4,3,2] => [1,3,4,5,2]
[2,1,3,4,5] => [2,1,3,4,5]
[2,1,3,5,4] => [2,1,3,5,4]
[2,1,4,3,5] => [2,1,4,3,5]
[2,1,4,5,3] => [2,1,5,4,3]
[2,1,5,3,4] => [2,1,5,3,4]
[2,1,5,4,3] => [2,1,4,5,3]
[2,3,1,4,5] => [3,2,1,4,5]
[2,3,1,5,4] => [3,2,1,5,4]
[2,3,4,1,5] => [4,2,3,1,5]
[2,3,4,5,1] => [5,2,3,4,1]
[2,3,5,1,4] => [5,2,3,1,4]
[2,3,5,4,1] => [4,2,3,5,1]
[2,4,1,3,5] => [4,2,1,3,5]
[2,4,1,5,3] => [4,2,5,1,3]
[2,4,3,1,5] => [3,2,4,1,5]
[2,4,3,5,1] => [5,2,4,3,1]
[2,4,5,1,3] => [5,2,1,4,3]
[2,4,5,3,1] => [3,2,5,4,1]
[2,5,1,3,4] => [5,2,1,3,4]
[2,5,1,4,3] => [5,2,4,1,3]
[2,5,3,1,4] => [3,2,5,1,4]
[2,5,3,4,1] => [4,2,5,3,1]
[2,5,4,1,3] => [4,2,1,5,3]
[2,5,4,3,1] => [3,2,4,5,1]
[3,1,2,4,5] => [3,1,2,4,5]
[3,1,2,5,4] => [3,1,2,5,4]
[3,1,4,2,5] => [3,4,1,2,5]
[3,1,4,5,2] => [3,5,1,4,2]
[3,1,5,2,4] => [3,5,1,2,4]
[3,1,5,4,2] => [3,4,1,5,2]
[3,2,1,4,5] => [2,3,1,4,5]
[3,2,1,5,4] => [2,3,1,5,4]
[3,2,4,1,5] => [4,3,2,1,5]
[3,2,4,5,1] => [5,3,2,4,1]
[3,2,5,1,4] => [5,3,2,1,4]
[3,2,5,4,1] => [4,3,2,5,1]
[3,4,1,2,5] => [4,1,3,2,5]
[3,4,1,5,2] => [4,5,3,1,2]
[3,4,2,1,5] => [2,4,3,1,5]
[3,4,2,5,1] => [5,4,3,2,1]
[3,4,5,1,2] => [5,1,3,4,2]
[3,4,5,2,1] => [2,5,3,4,1]
[3,5,1,2,4] => [5,1,3,2,4]
[3,5,1,4,2] => [5,4,3,1,2]
[3,5,2,1,4] => [2,5,3,1,4]
[3,5,2,4,1] => [4,5,3,2,1]
[3,5,4,1,2] => [4,1,3,5,2]
[3,5,4,2,1] => [2,4,3,5,1]
[4,1,2,3,5] => [4,1,2,3,5]
[4,1,2,5,3] => [4,1,5,2,3]
[4,1,3,2,5] => [4,3,1,2,5]
[4,1,3,5,2] => [4,5,1,3,2]
[4,1,5,2,3] => [4,5,2,1,3]
[4,1,5,3,2] => [4,3,5,1,2]
[4,2,1,3,5] => [2,4,1,3,5]
[4,2,1,5,3] => [2,4,5,1,3]
[4,2,3,1,5] => [3,4,2,1,5]
[4,2,3,5,1] => [5,4,2,3,1]
[4,2,5,1,3] => [5,4,1,2,3]
[4,2,5,3,1] => [3,5,4,1,2]
[4,3,1,2,5] => [3,1,4,2,5]
[4,3,1,5,2] => [3,4,5,2,1]
[4,3,2,1,5] => [2,3,4,1,5]
[4,3,2,5,1] => [5,3,4,2,1]
[4,3,5,1,2] => [5,1,4,3,2]
[4,3,5,2,1] => [2,5,4,3,1]
[4,5,1,2,3] => [5,1,2,4,3]
[4,5,1,3,2] => [5,3,1,4,2]
[4,5,2,1,3] => [2,5,1,4,3]
[4,5,2,3,1] => [3,5,2,4,1]
[4,5,3,1,2] => [3,1,5,4,2]
[4,5,3,2,1] => [2,3,5,4,1]
[5,1,2,3,4] => [5,1,2,3,4]
[5,1,2,4,3] => [5,1,4,2,3]
[5,1,3,2,4] => [5,3,1,2,4]
[5,1,3,4,2] => [5,4,1,3,2]
[5,1,4,2,3] => [5,4,2,1,3]
[5,1,4,3,2] => [5,3,4,1,2]
[5,2,1,3,4] => [2,5,1,3,4]
[5,2,1,4,3] => [2,5,4,1,3]
[5,2,3,1,4] => [3,5,2,1,4]
[5,2,3,4,1] => [4,5,2,3,1]
[5,2,4,1,3] => [4,5,1,2,3]
[5,2,4,3,1] => [3,4,5,1,2]
[5,3,1,2,4] => [3,1,5,2,4]
[5,3,1,4,2] => [3,5,4,2,1]
[5,3,2,1,4] => [2,3,5,1,4]
[5,3,2,4,1] => [4,3,5,2,1]
[5,3,4,1,2] => [4,1,5,3,2]
[5,3,4,2,1] => [2,4,5,3,1]
[5,4,1,2,3] => [4,1,2,5,3]
[5,4,1,3,2] => [4,3,1,5,2]
[5,4,2,1,3] => [2,4,1,5,3]
[5,4,2,3,1] => [3,4,2,5,1]
[5,4,3,1,2] => [3,1,4,5,2]
[5,4,3,2,1] => [2,3,4,5,1]
[1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,2,3,4,6,5] => [1,2,3,4,6,5]
[1,2,3,5,4,6] => [1,2,3,5,4,6]
[1,2,3,5,6,4] => [1,2,3,6,5,4]
[1,2,3,6,4,5] => [1,2,3,6,4,5]
[1,2,3,6,5,4] => [1,2,3,5,6,4]
[1,2,4,3,5,6] => [1,2,4,3,5,6]
[1,2,4,3,6,5] => [1,2,4,3,6,5]
[1,2,4,5,3,6] => [1,2,5,4,3,6]
[1,2,4,5,6,3] => [1,2,6,4,5,3]
[1,2,4,6,3,5] => [1,2,6,4,3,5]
[1,2,4,6,5,3] => [1,2,5,4,6,3]
[1,2,5,3,4,6] => [1,2,5,3,4,6]
[1,2,5,3,6,4] => [1,2,5,6,3,4]
[1,2,5,4,3,6] => [1,2,4,5,3,6]
[1,2,5,4,6,3] => [1,2,6,5,4,3]
[1,2,5,6,3,4] => [1,2,6,3,5,4]
[1,2,5,6,4,3] => [1,2,4,6,5,3]
[1,2,6,3,4,5] => [1,2,6,3,4,5]
[1,2,6,3,5,4] => [1,2,6,5,3,4]
[1,2,6,4,3,5] => [1,2,4,6,3,5]
[1,2,6,4,5,3] => [1,2,5,6,4,3]
[1,2,6,5,3,4] => [1,2,5,3,6,4]
[1,2,6,5,4,3] => [1,2,4,5,6,3]
[1,3,2,4,5,6] => [1,3,2,4,5,6]
[1,3,2,4,6,5] => [1,3,2,4,6,5]
[1,3,2,5,4,6] => [1,3,2,5,4,6]
[1,3,2,5,6,4] => [1,3,2,6,5,4]
[1,3,2,6,4,5] => [1,3,2,6,4,5]
[1,3,2,6,5,4] => [1,3,2,5,6,4]
[1,3,4,2,5,6] => [1,4,3,2,5,6]
[1,3,4,2,6,5] => [1,4,3,2,6,5]
[1,3,4,5,2,6] => [1,5,3,4,2,6]
[1,3,4,5,6,2] => [1,6,3,4,5,2]
[1,3,4,6,2,5] => [1,6,3,4,2,5]
[1,3,4,6,5,2] => [1,5,3,4,6,2]
[1,3,5,2,4,6] => [1,5,3,2,4,6]
[1,3,5,2,6,4] => [1,5,3,6,2,4]
[1,3,5,4,2,6] => [1,4,3,5,2,6]
[1,3,5,4,6,2] => [1,6,3,5,4,2]
[1,3,5,6,2,4] => [1,6,3,2,5,4]
[1,3,5,6,4,2] => [1,4,3,6,5,2]
[1,3,6,2,4,5] => [1,6,3,2,4,5]
[1,3,6,2,5,4] => [1,6,3,5,2,4]
[1,3,6,4,2,5] => [1,4,3,6,2,5]
[1,3,6,4,5,2] => [1,5,3,6,4,2]
[1,3,6,5,2,4] => [1,5,3,2,6,4]
[1,3,6,5,4,2] => [1,4,3,5,6,2]
[1,4,2,3,5,6] => [1,4,2,3,5,6]
[1,4,2,3,6,5] => [1,4,2,3,6,5]
[1,4,2,5,3,6] => [1,4,5,2,3,6]
[1,4,2,5,6,3] => [1,4,6,2,5,3]
[1,4,2,6,3,5] => [1,4,6,2,3,5]
[1,4,2,6,5,3] => [1,4,5,2,6,3]
[1,4,3,2,5,6] => [1,3,4,2,5,6]
[1,4,3,2,6,5] => [1,3,4,2,6,5]
[1,4,3,5,2,6] => [1,5,4,3,2,6]
[1,4,3,5,6,2] => [1,6,4,3,5,2]
[1,4,3,6,2,5] => [1,6,4,3,2,5]
[1,4,3,6,5,2] => [1,5,4,3,6,2]
[1,4,5,2,3,6] => [1,5,2,4,3,6]
[1,4,5,2,6,3] => [1,5,6,4,2,3]
[1,4,5,3,2,6] => [1,3,5,4,2,6]
[1,4,5,3,6,2] => [1,6,5,4,3,2]
[1,4,5,6,2,3] => [1,6,2,4,5,3]
[1,4,5,6,3,2] => [1,3,6,4,5,2]
[1,4,6,2,3,5] => [1,6,2,4,3,5]
[1,4,6,2,5,3] => [1,6,5,4,2,3]
[1,4,6,3,2,5] => [1,3,6,4,2,5]
[1,4,6,3,5,2] => [1,5,6,4,3,2]
[1,4,6,5,2,3] => [1,5,2,4,6,3]
[1,4,6,5,3,2] => [1,3,5,4,6,2]
[1,5,2,3,4,6] => [1,5,2,3,4,6]
[1,5,2,3,6,4] => [1,5,2,6,3,4]
[1,5,2,4,3,6] => [1,5,4,2,3,6]
[1,5,2,4,6,3] => [1,5,6,2,4,3]
[1,5,2,6,3,4] => [1,5,6,3,2,4]
[1,5,2,6,4,3] => [1,5,4,6,2,3]
[1,5,3,2,4,6] => [1,3,5,2,4,6]
[1,5,3,2,6,4] => [1,3,5,6,2,4]
[1,5,3,4,2,6] => [1,4,5,3,2,6]
[1,5,3,4,6,2] => [1,6,5,3,4,2]
[1,5,3,6,2,4] => [1,6,5,2,3,4]
[1,5,3,6,4,2] => [1,4,6,5,2,3]
[1,5,4,2,3,6] => [1,4,2,5,3,6]
[1,5,4,2,6,3] => [1,4,5,6,3,2]
[1,5,4,3,2,6] => [1,3,4,5,2,6]
[1,5,4,3,6,2] => [1,6,4,5,3,2]
[1,5,4,6,2,3] => [1,6,2,5,4,3]
[1,5,4,6,3,2] => [1,3,6,5,4,2]
[1,5,6,2,3,4] => [1,6,2,3,5,4]
[1,5,6,2,4,3] => [1,6,4,2,5,3]
[1,5,6,3,2,4] => [1,3,6,2,5,4]
[1,5,6,3,4,2] => [1,4,6,3,5,2]
[1,5,6,4,2,3] => [1,4,2,6,5,3]
[1,5,6,4,3,2] => [1,3,4,6,5,2]
[1,6,2,3,4,5] => [1,6,2,3,4,5]
[1,6,2,3,5,4] => [1,6,2,5,3,4]
[1,6,2,4,3,5] => [1,6,4,2,3,5]
[1,6,2,4,5,3] => [1,6,5,2,4,3]
[1,6,2,5,3,4] => [1,6,5,3,2,4]
[1,6,2,5,4,3] => [1,6,4,5,2,3]
[1,6,3,2,4,5] => [1,3,6,2,4,5]
[1,6,3,2,5,4] => [1,3,6,5,2,4]
[1,6,3,4,2,5] => [1,4,6,3,2,5]
[1,6,3,4,5,2] => [1,5,6,3,4,2]
[1,6,3,5,2,4] => [1,5,6,2,3,4]
[1,6,3,5,4,2] => [1,4,5,6,2,3]
[1,6,4,2,3,5] => [1,4,2,6,3,5]
[1,6,4,2,5,3] => [1,4,6,5,3,2]
[1,6,4,3,2,5] => [1,3,4,6,2,5]
[1,6,4,3,5,2] => [1,5,4,6,3,2]
[1,6,4,5,2,3] => [1,5,2,6,4,3]
[1,6,4,5,3,2] => [1,3,5,6,4,2]
[1,6,5,2,3,4] => [1,5,2,3,6,4]
[1,6,5,2,4,3] => [1,5,4,2,6,3]
[1,6,5,3,2,4] => [1,3,5,2,6,4]
[1,6,5,3,4,2] => [1,4,5,3,6,2]
[1,6,5,4,2,3] => [1,4,2,5,6,3]
[1,6,5,4,3,2] => [1,3,4,5,6,2]
[2,1,3,4,5,6] => [2,1,3,4,5,6]
[2,1,3,4,6,5] => [2,1,3,4,6,5]
[2,1,3,5,4,6] => [2,1,3,5,4,6]
[2,1,3,5,6,4] => [2,1,3,6,5,4]
[2,1,3,6,4,5] => [2,1,3,6,4,5]
[2,1,3,6,5,4] => [2,1,3,5,6,4]
[2,1,4,3,5,6] => [2,1,4,3,5,6]
[2,1,4,3,6,5] => [2,1,4,3,6,5]
[2,1,4,5,3,6] => [2,1,5,4,3,6]
[2,1,4,5,6,3] => [2,1,6,4,5,3]
[2,1,4,6,3,5] => [2,1,6,4,3,5]
[2,1,4,6,5,3] => [2,1,5,4,6,3]
[2,1,5,3,4,6] => [2,1,5,3,4,6]
[2,1,5,3,6,4] => [2,1,5,6,3,4]
[2,1,5,4,3,6] => [2,1,4,5,3,6]
[2,1,5,4,6,3] => [2,1,6,5,4,3]
[2,1,5,6,3,4] => [2,1,6,3,5,4]
[2,1,5,6,4,3] => [2,1,4,6,5,3]
[2,1,6,3,4,5] => [2,1,6,3,4,5]
[2,1,6,3,5,4] => [2,1,6,5,3,4]
[2,1,6,4,3,5] => [2,1,4,6,3,5]
[2,1,6,4,5,3] => [2,1,5,6,4,3]
[2,1,6,5,3,4] => [2,1,5,3,6,4]
[2,1,6,5,4,3] => [2,1,4,5,6,3]
[2,3,1,4,5,6] => [3,2,1,4,5,6]
[2,3,1,4,6,5] => [3,2,1,4,6,5]
[2,3,1,5,4,6] => [3,2,1,5,4,6]
[2,3,1,5,6,4] => [3,2,1,6,5,4]
[2,3,1,6,4,5] => [3,2,1,6,4,5]
[2,3,1,6,5,4] => [3,2,1,5,6,4]
[2,3,4,1,5,6] => [4,2,3,1,5,6]
[2,3,4,1,6,5] => [4,2,3,1,6,5]
[2,3,4,5,1,6] => [5,2,3,4,1,6]
[2,3,4,5,6,1] => [6,2,3,4,5,1]
[2,3,4,6,1,5] => [6,2,3,4,1,5]
[2,3,4,6,5,1] => [5,2,3,4,6,1]
[2,3,5,1,4,6] => [5,2,3,1,4,6]
[2,3,5,1,6,4] => [5,2,3,6,1,4]
[2,3,5,4,1,6] => [4,2,3,5,1,6]
[2,3,5,4,6,1] => [6,2,3,5,4,1]
[2,3,5,6,1,4] => [6,2,3,1,5,4]
[2,3,5,6,4,1] => [4,2,3,6,5,1]
[2,3,6,1,4,5] => [6,2,3,1,4,5]
[2,3,6,1,5,4] => [6,2,3,5,1,4]
[2,3,6,4,1,5] => [4,2,3,6,1,5]
[2,3,6,4,5,1] => [5,2,3,6,4,1]
[2,3,6,5,1,4] => [5,2,3,1,6,4]
[2,3,6,5,4,1] => [4,2,3,5,6,1]
[2,4,1,3,5,6] => [4,2,1,3,5,6]
[2,4,1,3,6,5] => [4,2,1,3,6,5]
[2,4,1,5,3,6] => [4,2,5,1,3,6]
[2,4,1,5,6,3] => [4,2,6,1,5,3]
[2,4,1,6,3,5] => [4,2,6,1,3,5]
[2,4,1,6,5,3] => [4,2,5,1,6,3]
[2,4,3,1,5,6] => [3,2,4,1,5,6]
[2,4,3,1,6,5] => [3,2,4,1,6,5]
[2,4,3,5,1,6] => [5,2,4,3,1,6]
[2,4,3,5,6,1] => [6,2,4,3,5,1]
[2,4,3,6,1,5] => [6,2,4,3,1,5]
[2,4,3,6,5,1] => [5,2,4,3,6,1]
[2,4,5,1,3,6] => [5,2,1,4,3,6]
[2,4,5,1,6,3] => [5,2,6,4,1,3]
[2,4,5,3,1,6] => [3,2,5,4,1,6]
[2,4,5,3,6,1] => [6,2,5,4,3,1]
[2,4,5,6,1,3] => [6,2,1,4,5,3]
[2,4,5,6,3,1] => [3,2,6,4,5,1]
[2,4,6,1,3,5] => [6,2,1,4,3,5]
[2,4,6,1,5,3] => [6,2,5,4,1,3]
[2,4,6,3,1,5] => [3,2,6,4,1,5]
[2,4,6,3,5,1] => [5,2,6,4,3,1]
[2,4,6,5,1,3] => [5,2,1,4,6,3]
[2,4,6,5,3,1] => [3,2,5,4,6,1]
[2,5,1,3,4,6] => [5,2,1,3,4,6]
[2,5,1,3,6,4] => [5,2,1,6,3,4]
[2,5,1,4,3,6] => [5,2,4,1,3,6]
[2,5,1,4,6,3] => [5,2,6,1,4,3]
[2,5,1,6,3,4] => [5,2,6,3,1,4]
[2,5,1,6,4,3] => [5,2,4,6,1,3]
[2,5,3,1,4,6] => [3,2,5,1,4,6]
[2,5,3,1,6,4] => [3,2,5,6,1,4]
[2,5,3,4,1,6] => [4,2,5,3,1,6]
[2,5,3,4,6,1] => [6,2,5,3,4,1]
[2,5,3,6,1,4] => [6,2,5,1,3,4]
[2,5,3,6,4,1] => [4,2,6,5,1,3]
[2,5,4,1,3,6] => [4,2,1,5,3,6]
[2,5,4,1,6,3] => [4,2,5,6,3,1]
[2,5,4,3,1,6] => [3,2,4,5,1,6]
[2,5,4,3,6,1] => [6,2,4,5,3,1]
[2,5,4,6,1,3] => [6,2,1,5,4,3]
[2,5,4,6,3,1] => [3,2,6,5,4,1]
[2,5,6,1,3,4] => [6,2,1,3,5,4]
[2,5,6,1,4,3] => [6,2,4,1,5,3]
[2,5,6,3,1,4] => [3,2,6,1,5,4]
[2,5,6,3,4,1] => [4,2,6,3,5,1]
[2,5,6,4,1,3] => [4,2,1,6,5,3]
[2,5,6,4,3,1] => [3,2,4,6,5,1]
[2,6,1,3,4,5] => [6,2,1,3,4,5]
[2,6,1,3,5,4] => [6,2,1,5,3,4]
[2,6,1,4,3,5] => [6,2,4,1,3,5]
[2,6,1,4,5,3] => [6,2,5,1,4,3]
[2,6,1,5,3,4] => [6,2,5,3,1,4]
[2,6,1,5,4,3] => [6,2,4,5,1,3]
[2,6,3,1,4,5] => [3,2,6,1,4,5]
[2,6,3,1,5,4] => [3,2,6,5,1,4]
[2,6,3,4,1,5] => [4,2,6,3,1,5]
[2,6,3,4,5,1] => [5,2,6,3,4,1]
[2,6,3,5,1,4] => [5,2,6,1,3,4]
[2,6,3,5,4,1] => [4,2,5,6,1,3]
[2,6,4,1,3,5] => [4,2,1,6,3,5]
[2,6,4,1,5,3] => [4,2,6,5,3,1]
[2,6,4,3,1,5] => [3,2,4,6,1,5]
[2,6,4,3,5,1] => [5,2,4,6,3,1]
[2,6,4,5,1,3] => [5,2,1,6,4,3]
[2,6,4,5,3,1] => [3,2,5,6,4,1]
[2,6,5,1,3,4] => [5,2,1,3,6,4]
[2,6,5,1,4,3] => [5,2,4,1,6,3]
[2,6,5,3,1,4] => [3,2,5,1,6,4]
[2,6,5,3,4,1] => [4,2,5,3,6,1]
[2,6,5,4,1,3] => [4,2,1,5,6,3]
[2,6,5,4,3,1] => [3,2,4,5,6,1]
[3,1,2,4,5,6] => [3,1,2,4,5,6]
[3,1,2,4,6,5] => [3,1,2,4,6,5]
[3,1,2,5,4,6] => [3,1,2,5,4,6]
[3,1,2,5,6,4] => [3,1,2,6,5,4]
[3,1,2,6,4,5] => [3,1,2,6,4,5]
[3,1,2,6,5,4] => [3,1,2,5,6,4]
[3,1,4,2,5,6] => [3,4,1,2,5,6]
[3,1,4,2,6,5] => [3,4,1,2,6,5]
[3,1,4,5,2,6] => [3,5,1,4,2,6]
[3,1,4,5,6,2] => [3,6,1,4,5,2]
[3,1,4,6,2,5] => [3,6,1,4,2,5]
[3,1,4,6,5,2] => [3,5,1,4,6,2]
[3,1,5,2,4,6] => [3,5,1,2,4,6]
[3,1,5,2,6,4] => [3,5,1,6,2,4]
[3,1,5,4,2,6] => [3,4,1,5,2,6]
[3,1,5,4,6,2] => [3,6,1,5,4,2]
[3,1,5,6,2,4] => [3,6,1,2,5,4]
[3,1,5,6,4,2] => [3,4,1,6,5,2]
[3,1,6,2,4,5] => [3,6,1,2,4,5]
[3,1,6,2,5,4] => [3,6,1,5,2,4]
[3,1,6,4,2,5] => [3,4,1,6,2,5]
[3,1,6,4,5,2] => [3,5,1,6,4,2]
[3,1,6,5,2,4] => [3,5,1,2,6,4]
[3,1,6,5,4,2] => [3,4,1,5,6,2]
[3,2,1,4,5,6] => [2,3,1,4,5,6]
[3,2,1,4,6,5] => [2,3,1,4,6,5]
[3,2,1,5,4,6] => [2,3,1,5,4,6]
[3,2,1,5,6,4] => [2,3,1,6,5,4]
[3,2,1,6,4,5] => [2,3,1,6,4,5]
[3,2,1,6,5,4] => [2,3,1,5,6,4]
[3,2,4,1,5,6] => [4,3,2,1,5,6]
[3,2,4,1,6,5] => [4,3,2,1,6,5]
[3,2,4,5,1,6] => [5,3,2,4,1,6]
[3,2,4,5,6,1] => [6,3,2,4,5,1]
[3,2,4,6,1,5] => [6,3,2,4,1,5]
[3,2,4,6,5,1] => [5,3,2,4,6,1]
[3,2,5,1,4,6] => [5,3,2,1,4,6]
[3,2,5,1,6,4] => [5,3,2,6,1,4]
[3,2,5,4,1,6] => [4,3,2,5,1,6]
[3,2,5,4,6,1] => [6,3,2,5,4,1]
[3,2,5,6,1,4] => [6,3,2,1,5,4]
[3,2,5,6,4,1] => [4,3,2,6,5,1]
[3,2,6,1,4,5] => [6,3,2,1,4,5]
[3,2,6,1,5,4] => [6,3,2,5,1,4]
[3,2,6,4,1,5] => [4,3,2,6,1,5]
[3,2,6,4,5,1] => [5,3,2,6,4,1]
[3,2,6,5,1,4] => [5,3,2,1,6,4]
[3,2,6,5,4,1] => [4,3,2,5,6,1]
[3,4,1,2,5,6] => [4,1,3,2,5,6]
[3,4,1,2,6,5] => [4,1,3,2,6,5]
[3,4,1,5,2,6] => [4,5,3,1,2,6]
[3,4,1,5,6,2] => [4,6,3,1,5,2]
[3,4,1,6,2,5] => [4,6,3,1,2,5]
[3,4,1,6,5,2] => [4,5,3,1,6,2]
[3,4,2,1,5,6] => [2,4,3,1,5,6]
[3,4,2,1,6,5] => [2,4,3,1,6,5]
[3,4,2,5,1,6] => [5,4,3,2,1,6]
[3,4,2,5,6,1] => [6,4,3,2,5,1]
[3,4,2,6,1,5] => [6,4,3,2,1,5]
[3,4,2,6,5,1] => [5,4,3,2,6,1]
[3,4,5,1,2,6] => [5,1,3,4,2,6]
[3,4,5,1,6,2] => [5,6,3,4,1,2]
[3,4,5,2,1,6] => [2,5,3,4,1,6]
[3,4,5,2,6,1] => [6,5,3,4,2,1]
[3,4,5,6,1,2] => [6,1,3,4,5,2]
[3,4,5,6,2,1] => [2,6,3,4,5,1]
[3,4,6,1,2,5] => [6,1,3,4,2,5]
[3,4,6,1,5,2] => [6,5,3,4,1,2]
[3,4,6,2,1,5] => [2,6,3,4,1,5]
[3,4,6,2,5,1] => [5,6,3,4,2,1]
[3,4,6,5,1,2] => [5,1,3,4,6,2]
[3,4,6,5,2,1] => [2,5,3,4,6,1]
[3,5,1,2,4,6] => [5,1,3,2,4,6]
[3,5,1,2,6,4] => [5,1,3,6,2,4]
[3,5,1,4,2,6] => [5,4,3,1,2,6]
[3,5,1,4,6,2] => [5,6,3,1,4,2]
[3,5,1,6,2,4] => [5,6,3,2,1,4]
[3,5,1,6,4,2] => [5,4,3,6,1,2]
[3,5,2,1,4,6] => [2,5,3,1,4,6]
[3,5,2,1,6,4] => [2,5,3,6,1,4]
[3,5,2,4,1,6] => [4,5,3,2,1,6]
[3,5,2,4,6,1] => [6,5,3,2,4,1]
[3,5,2,6,1,4] => [6,5,3,1,2,4]
[3,5,2,6,4,1] => [4,6,3,5,1,2]
[3,5,4,1,2,6] => [4,1,3,5,2,6]
[3,5,4,1,6,2] => [4,5,3,6,2,1]
[3,5,4,2,1,6] => [2,4,3,5,1,6]
[3,5,4,2,6,1] => [6,4,3,5,2,1]
[3,5,4,6,1,2] => [6,1,3,5,4,2]
[3,5,4,6,2,1] => [2,6,3,5,4,1]
[3,5,6,1,2,4] => [6,1,3,2,5,4]
[3,5,6,1,4,2] => [6,4,3,1,5,2]
[3,5,6,2,1,4] => [2,6,3,1,5,4]
[3,5,6,2,4,1] => [4,6,3,2,5,1]
[3,5,6,4,1,2] => [4,1,3,6,5,2]
[3,5,6,4,2,1] => [2,4,3,6,5,1]
[3,6,1,2,4,5] => [6,1,3,2,4,5]
[3,6,1,2,5,4] => [6,1,3,5,2,4]
[3,6,1,4,2,5] => [6,4,3,1,2,5]
[3,6,1,4,5,2] => [6,5,3,1,4,2]
[3,6,1,5,2,4] => [6,5,3,2,1,4]
[3,6,1,5,4,2] => [6,4,3,5,1,2]
[3,6,2,1,4,5] => [2,6,3,1,4,5]
[3,6,2,1,5,4] => [2,6,3,5,1,4]
[3,6,2,4,1,5] => [4,6,3,2,1,5]
[3,6,2,4,5,1] => [5,6,3,2,4,1]
[3,6,2,5,1,4] => [5,6,3,1,2,4]
[3,6,2,5,4,1] => [4,5,3,6,1,2]
[3,6,4,1,2,5] => [4,1,3,6,2,5]
[3,6,4,1,5,2] => [4,6,3,5,2,1]
[3,6,4,2,1,5] => [2,4,3,6,1,5]
[3,6,4,2,5,1] => [5,4,3,6,2,1]
[3,6,4,5,1,2] => [5,1,3,6,4,2]
[3,6,4,5,2,1] => [2,5,3,6,4,1]
[3,6,5,1,2,4] => [5,1,3,2,6,4]
[3,6,5,1,4,2] => [5,4,3,1,6,2]
[3,6,5,2,1,4] => [2,5,3,1,6,4]
[3,6,5,2,4,1] => [4,5,3,2,6,1]
[3,6,5,4,1,2] => [4,1,3,5,6,2]
[3,6,5,4,2,1] => [2,4,3,5,6,1]
[4,1,2,3,5,6] => [4,1,2,3,5,6]
[4,1,2,3,6,5] => [4,1,2,3,6,5]
[4,1,2,5,3,6] => [4,1,5,2,3,6]
[4,1,2,5,6,3] => [4,1,6,2,5,3]
[4,1,2,6,3,5] => [4,1,6,2,3,5]
[4,1,2,6,5,3] => [4,1,5,2,6,3]
[4,1,3,2,5,6] => [4,3,1,2,5,6]
[4,1,3,2,6,5] => [4,3,1,2,6,5]
[4,1,3,5,2,6] => [4,5,1,3,2,6]
[4,1,3,5,6,2] => [4,6,1,3,5,2]
[4,1,3,6,2,5] => [4,6,1,3,2,5]
[4,1,3,6,5,2] => [4,5,1,3,6,2]
[4,1,5,2,3,6] => [4,5,2,1,3,6]
[4,1,5,2,6,3] => [4,5,6,1,2,3]
[4,1,5,3,2,6] => [4,3,5,1,2,6]
[4,1,5,3,6,2] => [4,6,5,1,3,2]
[4,1,5,6,2,3] => [4,6,2,1,5,3]
[4,1,5,6,3,2] => [4,3,6,1,5,2]
[4,1,6,2,3,5] => [4,6,2,1,3,5]
[4,1,6,2,5,3] => [4,6,5,1,2,3]
[4,1,6,3,2,5] => [4,3,6,1,2,5]
[4,1,6,3,5,2] => [4,5,6,1,3,2]
[4,1,6,5,2,3] => [4,5,2,1,6,3]
[4,1,6,5,3,2] => [4,3,5,1,6,2]
[4,2,1,3,5,6] => [2,4,1,3,5,6]
[4,2,1,3,6,5] => [2,4,1,3,6,5]
[4,2,1,5,3,6] => [2,4,5,1,3,6]
[4,2,1,5,6,3] => [2,4,6,1,5,3]
[4,2,1,6,3,5] => [2,4,6,1,3,5]
[4,2,1,6,5,3] => [2,4,5,1,6,3]
[4,2,3,1,5,6] => [3,4,2,1,5,6]
[4,2,3,1,6,5] => [3,4,2,1,6,5]
[4,2,3,5,1,6] => [5,4,2,3,1,6]
[4,2,3,5,6,1] => [6,4,2,3,5,1]
[4,2,3,6,1,5] => [6,4,2,3,1,5]
[4,2,3,6,5,1] => [5,4,2,3,6,1]
[4,2,5,1,3,6] => [5,4,1,2,3,6]
[4,2,5,1,6,3] => [5,4,6,2,1,3]
[4,2,5,3,1,6] => [3,5,4,1,2,6]
[4,2,5,3,6,1] => [6,4,5,2,3,1]
[4,2,5,6,1,3] => [6,4,1,2,5,3]
[4,2,5,6,3,1] => [3,6,4,1,5,2]
[4,2,6,1,3,5] => [6,4,1,2,3,5]
[4,2,6,1,5,3] => [6,4,5,2,1,3]
[4,2,6,3,1,5] => [3,6,4,1,2,5]
[4,2,6,3,5,1] => [5,4,6,2,3,1]
[4,2,6,5,1,3] => [5,4,1,2,6,3]
[4,2,6,5,3,1] => [3,5,4,1,6,2]
[4,3,1,2,5,6] => [3,1,4,2,5,6]
[4,3,1,2,6,5] => [3,1,4,2,6,5]
[4,3,1,5,2,6] => [3,4,5,2,1,6]
[4,3,1,5,6,2] => [3,4,6,2,5,1]
[4,3,1,6,2,5] => [3,4,6,2,1,5]
[4,3,1,6,5,2] => [3,4,5,2,6,1]
[4,3,2,1,5,6] => [2,3,4,1,5,6]
[4,3,2,1,6,5] => [2,3,4,1,6,5]
[4,3,2,5,1,6] => [5,3,4,2,1,6]
[4,3,2,5,6,1] => [6,3,4,2,5,1]
[4,3,2,6,1,5] => [6,3,4,2,1,5]
[4,3,2,6,5,1] => [5,3,4,2,6,1]
[4,3,5,1,2,6] => [5,1,4,3,2,6]
[4,3,5,1,6,2] => [5,6,4,3,1,2]
[4,3,5,2,1,6] => [2,5,4,3,1,6]
[4,3,5,2,6,1] => [6,5,4,3,2,1]
[4,3,5,6,1,2] => [6,1,4,3,5,2]
[4,3,5,6,2,1] => [2,6,4,3,5,1]
[4,3,6,1,2,5] => [6,1,4,3,2,5]
[4,3,6,1,5,2] => [6,5,4,3,1,2]
[4,3,6,2,1,5] => [2,6,4,3,1,5]
[4,3,6,2,5,1] => [5,6,4,3,2,1]
[4,3,6,5,1,2] => [5,1,4,3,6,2]
[4,3,6,5,2,1] => [2,5,4,3,6,1]
[4,5,1,2,3,6] => [5,1,2,4,3,6]
[4,5,1,2,6,3] => [5,1,6,4,2,3]
[4,5,1,3,2,6] => [5,3,1,4,2,6]
[4,5,1,3,6,2] => [5,6,1,4,3,2]
[4,5,1,6,2,3] => [5,6,2,4,1,3]
[4,5,1,6,3,2] => [5,3,6,4,1,2]
[4,5,2,1,3,6] => [2,5,1,4,3,6]
[4,5,2,1,6,3] => [2,5,6,4,1,3]
[4,5,2,3,1,6] => [3,5,2,4,1,6]
[4,5,2,3,6,1] => [6,5,2,4,3,1]
[4,5,2,6,1,3] => [6,5,1,4,2,3]
[4,5,2,6,3,1] => [3,6,5,4,1,2]
[4,5,3,1,2,6] => [3,1,5,4,2,6]
[4,5,3,1,6,2] => [3,5,6,4,2,1]
[4,5,3,2,1,6] => [2,3,5,4,1,6]
[4,5,3,2,6,1] => [6,3,5,4,2,1]
[4,5,3,6,1,2] => [6,1,5,4,3,2]
[4,5,3,6,2,1] => [2,6,5,4,3,1]
[4,5,6,1,2,3] => [6,1,2,4,5,3]
[4,5,6,1,3,2] => [6,3,1,4,5,2]
[4,5,6,2,1,3] => [2,6,1,4,5,3]
[4,5,6,2,3,1] => [3,6,2,4,5,1]
[4,5,6,3,1,2] => [3,1,6,4,5,2]
[4,5,6,3,2,1] => [2,3,6,4,5,1]
[4,6,1,2,3,5] => [6,1,2,4,3,5]
[4,6,1,2,5,3] => [6,1,5,4,2,3]
[4,6,1,3,2,5] => [6,3,1,4,2,5]
[4,6,1,3,5,2] => [6,5,1,4,3,2]
[4,6,1,5,2,3] => [6,5,2,4,1,3]
[4,6,1,5,3,2] => [6,3,5,4,1,2]
[4,6,2,1,3,5] => [2,6,1,4,3,5]
[4,6,2,1,5,3] => [2,6,5,4,1,3]
[4,6,2,3,1,5] => [3,6,2,4,1,5]
[4,6,2,3,5,1] => [5,6,2,4,3,1]
[4,6,2,5,1,3] => [5,6,1,4,2,3]
[4,6,2,5,3,1] => [3,5,6,4,1,2]
[4,6,3,1,2,5] => [3,1,6,4,2,5]
[4,6,3,1,5,2] => [3,6,5,4,2,1]
[4,6,3,2,1,5] => [2,3,6,4,1,5]
[4,6,3,2,5,1] => [5,3,6,4,2,1]
[4,6,3,5,1,2] => [5,1,6,4,3,2]
[4,6,3,5,2,1] => [2,5,6,4,3,1]
[4,6,5,1,2,3] => [5,1,2,4,6,3]
[4,6,5,1,3,2] => [5,3,1,4,6,2]
[4,6,5,2,1,3] => [2,5,1,4,6,3]
[4,6,5,2,3,1] => [3,5,2,4,6,1]
[4,6,5,3,1,2] => [3,1,5,4,6,2]
[4,6,5,3,2,1] => [2,3,5,4,6,1]
[5,1,2,3,4,6] => [5,1,2,3,4,6]
[5,1,2,3,6,4] => [5,1,2,6,3,4]
[5,1,2,4,3,6] => [5,1,4,2,3,6]
[5,1,2,4,6,3] => [5,1,6,2,4,3]
[5,1,2,6,3,4] => [5,1,6,3,2,4]
[5,1,2,6,4,3] => [5,1,4,6,2,3]
[5,1,3,2,4,6] => [5,3,1,2,4,6]
[5,1,3,2,6,4] => [5,3,1,6,2,4]
[5,1,3,4,2,6] => [5,4,1,3,2,6]
[5,1,3,4,6,2] => [5,6,1,3,4,2]
[5,1,3,6,2,4] => [5,6,1,2,3,4]
[5,1,3,6,4,2] => [5,4,1,6,3,2]
[5,1,4,2,3,6] => [5,4,2,1,3,6]
[5,1,4,2,6,3] => [5,4,6,1,2,3]
[5,1,4,3,2,6] => [5,3,4,1,2,6]
[5,1,4,3,6,2] => [5,6,4,1,3,2]
[5,1,4,6,2,3] => [5,6,2,1,4,3]
[5,1,4,6,3,2] => [5,3,6,1,4,2]
[5,1,6,2,3,4] => [5,6,2,3,1,4]
[5,1,6,2,4,3] => [5,6,4,2,1,3]
[5,1,6,3,2,4] => [5,3,6,2,1,4]
[5,1,6,3,4,2] => [5,4,6,3,1,2]
[5,1,6,4,2,3] => [5,4,2,6,1,3]
[5,1,6,4,3,2] => [5,3,4,6,1,2]
[5,2,1,3,4,6] => [2,5,1,3,4,6]
[5,2,1,3,6,4] => [2,5,1,6,3,4]
[5,2,1,4,3,6] => [2,5,4,1,3,6]
[5,2,1,4,6,3] => [2,5,6,1,4,3]
[5,2,1,6,3,4] => [2,5,6,3,1,4]
[5,2,1,6,4,3] => [2,5,4,6,1,3]
[5,2,3,1,4,6] => [3,5,2,1,4,6]
[5,2,3,1,6,4] => [3,5,2,6,1,4]
[5,2,3,4,1,6] => [4,5,2,3,1,6]
[5,2,3,4,6,1] => [6,5,2,3,4,1]
[5,2,3,6,1,4] => [6,5,2,1,3,4]
[5,2,3,6,4,1] => [4,6,1,5,3,2]
[5,2,4,1,3,6] => [4,5,1,2,3,6]
[5,2,4,1,6,3] => [4,5,6,2,1,3]
[5,2,4,3,1,6] => [3,4,5,1,2,6]
[5,2,4,3,6,1] => [6,5,4,2,3,1]
[5,2,4,6,1,3] => [6,5,1,2,4,3]
[5,2,4,6,3,1] => [3,6,5,1,4,2]
[5,2,6,1,3,4] => [6,5,1,3,2,4]
[5,2,6,1,4,3] => [6,5,4,1,2,3]
[5,2,6,3,1,4] => [3,6,5,2,1,4]
[5,2,6,3,4,1] => [4,5,6,3,2,1]
[5,2,6,4,1,3] => [4,6,2,5,1,3]
[5,2,6,4,3,1] => [3,4,6,5,2,1]
[5,3,1,2,4,6] => [3,1,5,2,4,6]
[5,3,1,2,6,4] => [3,1,5,6,2,4]
[5,3,1,4,2,6] => [3,5,4,2,1,6]
[5,3,1,4,6,2] => [3,5,6,2,4,1]
[5,3,1,6,2,4] => [3,5,6,1,2,4]
[5,3,1,6,4,2] => [3,5,4,6,2,1]
[5,3,2,1,4,6] => [2,3,5,1,4,6]
[5,3,2,1,6,4] => [2,3,5,6,1,4]
[5,3,2,4,1,6] => [4,3,5,2,1,6]
[5,3,2,4,6,1] => [6,3,5,2,4,1]
[5,3,2,6,1,4] => [6,3,5,1,2,4]
[5,3,2,6,4,1] => [4,3,6,5,1,2]
[5,3,4,1,2,6] => [4,1,5,3,2,6]
[5,3,4,1,6,2] => [4,6,5,3,1,2]
[5,3,4,2,1,6] => [2,4,5,3,1,6]
[5,3,4,2,6,1] => [6,4,5,3,2,1]
[5,3,4,6,1,2] => [6,1,5,3,4,2]
[5,3,4,6,2,1] => [2,6,5,3,4,1]
[5,3,6,1,2,4] => [6,1,5,2,3,4]
[5,3,6,1,4,2] => [6,4,5,1,3,2]
[5,3,6,2,1,4] => [2,6,5,1,3,4]
[5,3,6,2,4,1] => [4,6,5,2,3,1]
[5,3,6,4,1,2] => [4,1,6,5,2,3]
[5,3,6,4,2,1] => [2,4,6,5,1,3]
[5,4,1,2,3,6] => [4,1,2,5,3,6]
[5,4,1,2,6,3] => [4,1,5,6,3,2]
[5,4,1,3,2,6] => [4,3,1,5,2,6]
[5,4,1,3,6,2] => [4,5,2,6,3,1]
[5,4,1,6,2,3] => [4,5,1,6,2,3]
[5,4,1,6,3,2] => [4,3,5,6,2,1]
[5,4,2,1,3,6] => [2,4,1,5,3,6]
[5,4,2,1,6,3] => [2,4,5,6,3,1]
[5,4,2,3,1,6] => [3,4,2,5,1,6]
[5,4,2,3,6,1] => [6,4,2,5,3,1]
[5,4,2,6,1,3] => [6,4,1,5,2,3]
[5,4,2,6,3,1] => [3,6,4,5,1,2]
[5,4,3,1,2,6] => [3,1,4,5,2,6]
[5,4,3,1,6,2] => [3,4,5,6,1,2]
[5,4,3,2,1,6] => [2,3,4,5,1,6]
[5,4,3,2,6,1] => [6,3,4,5,2,1]
[5,4,3,6,1,2] => [6,1,4,5,3,2]
[5,4,3,6,2,1] => [2,6,4,5,3,1]
[5,4,6,1,2,3] => [6,1,2,5,4,3]
[5,4,6,1,3,2] => [6,3,1,5,4,2]
[5,4,6,2,1,3] => [2,6,1,5,4,3]
[5,4,6,2,3,1] => [3,6,2,5,4,1]
[5,4,6,3,1,2] => [3,1,6,5,4,2]
[5,4,6,3,2,1] => [2,3,6,5,4,1]
[5,6,1,2,3,4] => [6,1,2,3,5,4]
[5,6,1,2,4,3] => [6,1,4,2,5,3]
[5,6,1,3,2,4] => [6,3,1,2,5,4]
[5,6,1,3,4,2] => [6,4,1,3,5,2]
[5,6,1,4,2,3] => [6,4,2,1,5,3]
[5,6,1,4,3,2] => [6,3,4,1,5,2]
[5,6,2,1,3,4] => [2,6,1,3,5,4]
[5,6,2,1,4,3] => [2,6,4,1,5,3]
[5,6,2,3,1,4] => [3,6,2,1,5,4]
[5,6,2,3,4,1] => [4,6,2,3,5,1]
[5,6,2,4,1,3] => [4,6,1,2,5,3]
[5,6,2,4,3,1] => [3,4,6,1,5,2]
[5,6,3,1,2,4] => [3,1,6,2,5,4]
[5,6,3,1,4,2] => [3,6,4,2,5,1]
[5,6,3,2,1,4] => [2,3,6,1,5,4]
[5,6,3,2,4,1] => [4,3,6,2,5,1]
[5,6,3,4,1,2] => [4,1,6,3,5,2]
[5,6,3,4,2,1] => [2,4,6,3,5,1]
[5,6,4,1,2,3] => [4,1,2,6,5,3]
[5,6,4,1,3,2] => [4,3,1,6,5,2]
[5,6,4,2,1,3] => [2,4,1,6,5,3]
[5,6,4,2,3,1] => [3,4,2,6,5,1]
[5,6,4,3,1,2] => [3,1,4,6,5,2]
[5,6,4,3,2,1] => [2,3,4,6,5,1]
[6,1,2,3,4,5] => [6,1,2,3,4,5]
[6,1,2,3,5,4] => [6,1,2,5,3,4]
[6,1,2,4,3,5] => [6,1,4,2,3,5]
[6,1,2,4,5,3] => [6,1,5,2,4,3]
[6,1,2,5,3,4] => [6,1,5,3,2,4]
[6,1,2,5,4,3] => [6,1,4,5,2,3]
[6,1,3,2,4,5] => [6,3,1,2,4,5]
[6,1,3,2,5,4] => [6,3,1,5,2,4]
[6,1,3,4,2,5] => [6,4,1,3,2,5]
[6,1,3,4,5,2] => [6,5,1,3,4,2]
[6,1,3,5,2,4] => [6,5,1,2,3,4]
[6,1,3,5,4,2] => [6,4,1,5,3,2]
[6,1,4,2,3,5] => [6,4,2,1,3,5]
[6,1,4,2,5,3] => [6,4,5,1,2,3]
[6,1,4,3,2,5] => [6,3,4,1,2,5]
[6,1,4,3,5,2] => [6,5,4,1,3,2]
[6,1,4,5,2,3] => [6,5,2,1,4,3]
[6,1,4,5,3,2] => [6,3,5,1,4,2]
[6,1,5,2,3,4] => [6,5,2,3,1,4]
[6,1,5,2,4,3] => [6,5,4,2,1,3]
[6,1,5,3,2,4] => [6,3,5,2,1,4]
[6,1,5,3,4,2] => [6,4,5,3,1,2]
[6,1,5,4,2,3] => [6,4,2,5,1,3]
[6,1,5,4,3,2] => [6,3,4,5,1,2]
[6,2,1,3,4,5] => [2,6,1,3,4,5]
[6,2,1,3,5,4] => [2,6,1,5,3,4]
[6,2,1,4,3,5] => [2,6,4,1,3,5]
[6,2,1,4,5,3] => [2,6,5,1,4,3]
[6,2,1,5,3,4] => [2,6,5,3,1,4]
[6,2,1,5,4,3] => [2,6,4,5,1,3]
[6,2,3,1,4,5] => [3,6,2,1,4,5]
[6,2,3,1,5,4] => [3,6,2,5,1,4]
[6,2,3,4,1,5] => [4,6,2,3,1,5]
[6,2,3,4,5,1] => [5,6,2,3,4,1]
[6,2,3,5,1,4] => [5,6,2,1,3,4]
[6,2,3,5,4,1] => [4,5,1,6,3,2]
[6,2,4,1,3,5] => [4,6,1,2,3,5]
[6,2,4,1,5,3] => [4,6,5,2,1,3]
[6,2,4,3,1,5] => [3,4,6,1,2,5]
[6,2,4,3,5,1] => [5,6,4,2,3,1]
[6,2,4,5,1,3] => [5,6,1,2,4,3]
[6,2,4,5,3,1] => [3,5,6,1,4,2]
[6,2,5,1,3,4] => [5,6,1,3,2,4]
[6,2,5,1,4,3] => [5,6,4,1,2,3]
[6,2,5,3,1,4] => [3,5,6,2,1,4]
[6,2,5,3,4,1] => [4,6,5,3,2,1]
[6,2,5,4,1,3] => [4,5,2,6,1,3]
[6,2,5,4,3,1] => [3,4,5,6,2,1]
[6,3,1,2,4,5] => [3,1,6,2,4,5]
[6,3,1,2,5,4] => [3,1,6,5,2,4]
[6,3,1,4,2,5] => [3,6,4,2,1,5]
[6,3,1,4,5,2] => [3,6,5,2,4,1]
[6,3,1,5,2,4] => [3,6,5,1,2,4]
[6,3,1,5,4,2] => [3,6,4,5,2,1]
[6,3,2,1,4,5] => [2,3,6,1,4,5]
[6,3,2,1,5,4] => [2,3,6,5,1,4]
[6,3,2,4,1,5] => [4,3,6,2,1,5]
[6,3,2,4,5,1] => [5,3,6,2,4,1]
[6,3,2,5,1,4] => [5,3,6,1,2,4]
[6,3,2,5,4,1] => [4,3,5,6,1,2]
[6,3,4,1,2,5] => [4,1,6,3,2,5]
[6,3,4,1,5,2] => [4,5,6,3,1,2]
[6,3,4,2,1,5] => [2,4,6,3,1,5]
[6,3,4,2,5,1] => [5,4,6,3,2,1]
[6,3,4,5,1,2] => [5,1,6,3,4,2]
[6,3,4,5,2,1] => [2,5,6,3,4,1]
[6,3,5,1,2,4] => [5,1,6,2,3,4]
[6,3,5,1,4,2] => [5,4,6,1,3,2]
[6,3,5,2,1,4] => [2,5,6,1,3,4]
[6,3,5,2,4,1] => [4,5,6,2,3,1]
[6,3,5,4,1,2] => [4,1,5,6,2,3]
[6,3,5,4,2,1] => [2,4,5,6,1,3]
[6,4,1,2,3,5] => [4,1,2,6,3,5]
[6,4,1,2,5,3] => [4,1,6,5,3,2]
[6,4,1,3,2,5] => [4,3,1,6,2,5]
[6,4,1,3,5,2] => [4,6,2,5,3,1]
[6,4,1,5,2,3] => [4,6,1,5,2,3]
[6,4,1,5,3,2] => [4,3,6,5,2,1]
[6,4,2,1,3,5] => [2,4,1,6,3,5]
[6,4,2,1,5,3] => [2,4,6,5,3,1]
[6,4,2,3,1,5] => [3,4,2,6,1,5]
[6,4,2,3,5,1] => [5,4,2,6,3,1]
[6,4,2,5,1,3] => [5,4,1,6,2,3]
[6,4,2,5,3,1] => [3,5,4,6,1,2]
[6,4,3,1,2,5] => [3,1,4,6,2,5]
[6,4,3,1,5,2] => [3,4,6,5,1,2]
[6,4,3,2,1,5] => [2,3,4,6,1,5]
[6,4,3,2,5,1] => [5,3,4,6,2,1]
[6,4,3,5,1,2] => [5,1,4,6,3,2]
[6,4,3,5,2,1] => [2,5,4,6,3,1]
[6,4,5,1,2,3] => [5,1,2,6,4,3]
[6,4,5,1,3,2] => [5,3,1,6,4,2]
[6,4,5,2,1,3] => [2,5,1,6,4,3]
[6,4,5,2,3,1] => [3,5,2,6,4,1]
[6,4,5,3,1,2] => [3,1,5,6,4,2]
[6,4,5,3,2,1] => [2,3,5,6,4,1]
[6,5,1,2,3,4] => [5,1,2,3,6,4]
[6,5,1,2,4,3] => [5,1,4,2,6,3]
[6,5,1,3,2,4] => [5,3,1,2,6,4]
[6,5,1,3,4,2] => [5,4,1,3,6,2]
[6,5,1,4,2,3] => [5,4,2,1,6,3]
[6,5,1,4,3,2] => [5,3,4,1,6,2]
[6,5,2,1,3,4] => [2,5,1,3,6,4]
[6,5,2,1,4,3] => [2,5,4,1,6,3]
[6,5,2,3,1,4] => [3,5,2,1,6,4]
[6,5,2,3,4,1] => [4,5,2,3,6,1]
[6,5,2,4,1,3] => [4,5,1,2,6,3]
[6,5,2,4,3,1] => [3,4,5,1,6,2]
[6,5,3,1,2,4] => [3,1,5,2,6,4]
[6,5,3,1,4,2] => [3,5,4,2,6,1]
[6,5,3,2,1,4] => [2,3,5,1,6,4]
[6,5,3,2,4,1] => [4,3,5,2,6,1]
[6,5,3,4,1,2] => [4,1,5,3,6,2]
[6,5,3,4,2,1] => [2,4,5,3,6,1]
[6,5,4,1,2,3] => [4,1,2,5,6,3]
[6,5,4,1,3,2] => [4,3,1,5,6,2]
[6,5,4,2,1,3] => [2,4,1,5,6,3]
[6,5,4,2,3,1] => [3,4,2,5,6,1]
[6,5,4,3,1,2] => [3,1,4,5,6,2]
[6,5,4,3,2,1] => [2,3,4,5,6,1]
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[1,2,3,4,6,7,5] => [1,2,3,4,7,6,5]
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6]
[1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[1,2,3,5,6,4,7] => [1,2,3,6,5,4,7]
[1,2,3,5,6,7,4] => [1,2,3,7,5,6,4]
[1,2,3,5,7,4,6] => [1,2,3,7,5,4,6]
[1,2,3,5,7,6,4] => [1,2,3,6,5,7,4]
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7]
[1,2,3,6,4,7,5] => [1,2,3,6,7,4,5]
[1,2,3,6,5,4,7] => [1,2,3,5,6,4,7]
[1,2,3,6,5,7,4] => [1,2,3,7,6,5,4]
[1,2,3,6,7,4,5] => [1,2,3,7,4,6,5]
[1,2,3,6,7,5,4] => [1,2,3,5,7,6,4]
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6]
[1,2,3,7,4,6,5] => [1,2,3,7,6,4,5]
[1,2,3,7,5,4,6] => [1,2,3,5,7,4,6]
[1,2,3,7,5,6,4] => [1,2,3,6,7,5,4]
[1,2,3,7,6,4,5] => [1,2,3,6,4,7,5]
[1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[1,2,4,3,6,7,5] => [1,2,4,3,7,6,5]
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6]
[1,2,4,3,7,6,5] => [1,2,4,3,6,7,5]
[1,2,4,5,3,6,7] => [1,2,5,4,3,6,7]
[1,2,4,5,3,7,6] => [1,2,5,4,3,7,6]
[1,2,4,5,6,3,7] => [1,2,6,4,5,3,7]
[1,2,4,5,6,7,3] => [1,2,7,4,5,6,3]
[1,2,4,5,7,3,6] => [1,2,7,4,5,3,6]
[1,2,4,5,7,6,3] => [1,2,6,4,5,7,3]
[1,2,4,6,3,5,7] => [1,2,6,4,3,5,7]
[1,2,4,6,3,7,5] => [1,2,6,4,7,3,5]
[1,2,4,6,5,3,7] => [1,2,5,4,6,3,7]
[1,2,4,6,5,7,3] => [1,2,7,4,6,5,3]
[1,2,4,6,7,3,5] => [1,2,7,4,3,6,5]
[1,2,4,6,7,5,3] => [1,2,5,4,7,6,3]
[1,2,4,7,3,5,6] => [1,2,7,4,3,5,6]
[1,2,4,7,3,6,5] => [1,2,7,4,6,3,5]
[1,2,4,7,5,3,6] => [1,2,5,4,7,3,6]
[1,2,4,7,5,6,3] => [1,2,6,4,7,5,3]
[1,2,4,7,6,3,5] => [1,2,6,4,3,7,5]
[1,2,4,7,6,5,3] => [1,2,5,4,6,7,3]
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7]
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6]
[1,2,5,3,6,4,7] => [1,2,5,6,3,4,7]
[1,2,5,3,6,7,4] => [1,2,5,7,3,6,4]
[1,2,5,3,7,4,6] => [1,2,5,7,3,4,6]
[1,2,5,3,7,6,4] => [1,2,5,6,3,7,4]
[1,2,5,4,3,6,7] => [1,2,4,5,3,6,7]
[1,2,5,4,3,7,6] => [1,2,4,5,3,7,6]
[1,2,5,4,6,3,7] => [1,2,6,5,4,3,7]
[1,2,5,4,6,7,3] => [1,2,7,5,4,6,3]
[1,2,5,4,7,3,6] => [1,2,7,5,4,3,6]
[1,2,5,4,7,6,3] => [1,2,6,5,4,7,3]
[1,2,5,6,3,4,7] => [1,2,6,3,5,4,7]
[1,2,5,6,3,7,4] => [1,2,6,7,5,3,4]
[1,2,5,6,4,3,7] => [1,2,4,6,5,3,7]
[1,2,5,6,4,7,3] => [1,2,7,6,5,4,3]
[1,2,5,6,7,3,4] => [1,2,7,3,5,6,4]
[1,2,5,6,7,4,3] => [1,2,4,7,5,6,3]
[1,2,5,7,3,4,6] => [1,2,7,3,5,4,6]
[1,2,5,7,3,6,4] => [1,2,7,6,5,3,4]
[1,2,5,7,4,3,6] => [1,2,4,7,5,3,6]
[1,2,5,7,4,6,3] => [1,2,6,7,5,4,3]
[1,2,5,7,6,3,4] => [1,2,6,3,5,7,4]
[1,2,5,7,6,4,3] => [1,2,4,6,5,7,3]
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7]
[1,2,6,3,4,7,5] => [1,2,6,3,7,4,5]
[1,2,6,3,5,4,7] => [1,2,6,5,3,4,7]
[1,2,6,3,5,7,4] => [1,2,6,7,3,5,4]
[1,2,6,3,7,4,5] => [1,2,6,7,4,3,5]
[1,2,6,3,7,5,4] => [1,2,6,5,7,3,4]
[1,2,6,4,3,5,7] => [1,2,4,6,3,5,7]
[1,2,6,4,3,7,5] => [1,2,4,6,7,3,5]
[1,2,6,4,5,3,7] => [1,2,5,6,4,3,7]
[1,2,6,4,5,7,3] => [1,2,7,6,4,5,3]
[1,2,6,4,7,3,5] => [1,2,7,6,3,4,5]
[1,2,6,4,7,5,3] => [1,2,5,7,6,3,4]
[1,2,6,5,3,4,7] => [1,2,5,3,6,4,7]
[1,2,6,5,3,7,4] => [1,2,5,6,7,4,3]
[1,2,6,5,4,3,7] => [1,2,4,5,6,3,7]
[1,2,6,5,4,7,3] => [1,2,7,5,6,4,3]
[1,2,6,5,7,3,4] => [1,2,7,3,6,5,4]
[1,2,6,5,7,4,3] => [1,2,4,7,6,5,3]
[1,2,6,7,3,4,5] => [1,2,7,3,4,6,5]
[1,2,6,7,3,5,4] => [1,2,7,5,3,6,4]
[1,2,6,7,4,3,5] => [1,2,4,7,3,6,5]
[1,2,6,7,4,5,3] => [1,2,5,7,4,6,3]
[1,2,6,7,5,3,4] => [1,2,5,3,7,6,4]
[1,2,6,7,5,4,3] => [1,2,4,5,7,6,3]
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6]
[1,2,7,3,4,6,5] => [1,2,7,3,6,4,5]
[1,2,7,3,5,4,6] => [1,2,7,5,3,4,6]
[1,2,7,3,5,6,4] => [1,2,7,6,3,5,4]
[1,2,7,3,6,4,5] => [1,2,7,6,4,3,5]
[1,2,7,3,6,5,4] => [1,2,7,5,6,3,4]
[1,2,7,4,3,5,6] => [1,2,4,7,3,5,6]
[1,2,7,4,3,6,5] => [1,2,4,7,6,3,5]
[1,2,7,4,5,3,6] => [1,2,5,7,4,3,6]
[1,2,7,4,5,6,3] => [1,2,6,7,4,5,3]
[1,2,7,4,6,3,5] => [1,2,6,7,3,4,5]
[1,2,7,4,6,5,3] => [1,2,5,6,7,3,4]
[1,2,7,5,3,4,6] => [1,2,5,3,7,4,6]
[1,2,7,5,3,6,4] => [1,2,5,7,6,4,3]
[1,2,7,5,4,3,6] => [1,2,4,5,7,3,6]
[1,2,7,5,4,6,3] => [1,2,6,5,7,4,3]
[1,2,7,5,6,3,4] => [1,2,6,3,7,5,4]
[1,2,7,5,6,4,3] => [1,2,4,6,7,5,3]
[1,2,7,6,3,4,5] => [1,2,6,3,4,7,5]
[1,2,7,6,3,5,4] => [1,2,6,5,3,7,4]
[1,2,7,6,4,3,5] => [1,2,4,6,3,7,5]
[1,2,7,6,4,5,3] => [1,2,5,6,4,7,3]
[1,2,7,6,5,3,4] => [1,2,5,3,6,7,4]
[1,2,7,6,5,4,3] => [1,2,4,5,6,7,3]
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[1,3,2,4,6,7,5] => [1,3,2,4,7,6,5]
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6]
[1,3,2,4,7,6,5] => [1,3,2,4,6,7,5]
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[1,3,2,5,6,4,7] => [1,3,2,6,5,4,7]
[1,3,2,5,6,7,4] => [1,3,2,7,5,6,4]
[1,3,2,5,7,4,6] => [1,3,2,7,5,4,6]
[1,3,2,5,7,6,4] => [1,3,2,6,5,7,4]
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7]
[1,3,2,6,4,7,5] => [1,3,2,6,7,4,5]
[1,3,2,6,5,4,7] => [1,3,2,5,6,4,7]
[1,3,2,6,5,7,4] => [1,3,2,7,6,5,4]
[1,3,2,6,7,4,5] => [1,3,2,7,4,6,5]
[1,3,2,6,7,5,4] => [1,3,2,5,7,6,4]
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6]
[1,3,2,7,4,6,5] => [1,3,2,7,6,4,5]
[1,3,2,7,5,4,6] => [1,3,2,5,7,4,6]
[1,3,2,7,5,6,4] => [1,3,2,6,7,5,4]
[1,3,2,7,6,4,5] => [1,3,2,6,4,7,5]
[1,3,2,7,6,5,4] => [1,3,2,5,6,7,4]
[1,3,4,2,5,6,7] => [1,4,3,2,5,6,7]
[1,3,4,2,5,7,6] => [1,4,3,2,5,7,6]
[1,3,4,2,6,5,7] => [1,4,3,2,6,5,7]
[1,3,4,2,6,7,5] => [1,4,3,2,7,6,5]
[1,3,4,2,7,5,6] => [1,4,3,2,7,5,6]
[1,3,4,2,7,6,5] => [1,4,3,2,6,7,5]
[1,3,4,5,2,6,7] => [1,5,3,4,2,6,7]
[1,3,4,5,2,7,6] => [1,5,3,4,2,7,6]
[1,3,4,5,6,2,7] => [1,6,3,4,5,2,7]
[1,3,4,5,6,7,2] => [1,7,3,4,5,6,2]
[1,3,4,5,7,2,6] => [1,7,3,4,5,2,6]
[1,3,4,5,7,6,2] => [1,6,3,4,5,7,2]
[1,3,4,6,2,5,7] => [1,6,3,4,2,5,7]
[1,3,4,6,2,7,5] => [1,6,3,4,7,2,5]
[1,3,4,6,5,2,7] => [1,5,3,4,6,2,7]
[1,3,4,6,5,7,2] => [1,7,3,4,6,5,2]
[1,3,4,6,7,2,5] => [1,7,3,4,2,6,5]
[1,3,4,6,7,5,2] => [1,5,3,4,7,6,2]
[1,3,4,7,2,5,6] => [1,7,3,4,2,5,6]
[1,3,4,7,2,6,5] => [1,7,3,4,6,2,5]
[1,3,4,7,5,2,6] => [1,5,3,4,7,2,6]
[1,3,4,7,5,6,2] => [1,6,3,4,7,5,2]
[1,3,4,7,6,2,5] => [1,6,3,4,2,7,5]
[1,3,4,7,6,5,2] => [1,5,3,4,6,7,2]
[1,3,5,2,4,6,7] => [1,5,3,2,4,6,7]
[1,3,5,2,4,7,6] => [1,5,3,2,4,7,6]
[1,3,5,2,6,4,7] => [1,5,3,6,2,4,7]
[1,3,5,2,6,7,4] => [1,5,3,7,2,6,4]
[1,3,5,2,7,4,6] => [1,5,3,7,2,4,6]
[1,3,5,2,7,6,4] => [1,5,3,6,2,7,4]
[1,3,5,4,2,6,7] => [1,4,3,5,2,6,7]
[1,3,5,4,2,7,6] => [1,4,3,5,2,7,6]
[1,3,5,4,6,2,7] => [1,6,3,5,4,2,7]
[1,3,5,4,6,7,2] => [1,7,3,5,4,6,2]
[1,3,5,4,7,2,6] => [1,7,3,5,4,2,6]
[1,3,5,4,7,6,2] => [1,6,3,5,4,7,2]
[1,3,5,6,2,4,7] => [1,6,3,2,5,4,7]
[1,3,5,6,2,7,4] => [1,6,3,7,5,2,4]
[1,3,5,6,4,2,7] => [1,4,3,6,5,2,7]
[1,3,5,6,4,7,2] => [1,7,3,6,5,4,2]
[1,3,5,6,7,2,4] => [1,7,3,2,5,6,4]
[1,3,5,6,7,4,2] => [1,4,3,7,5,6,2]
[1,3,5,7,2,4,6] => [1,7,3,2,5,4,6]
[1,3,5,7,2,6,4] => [1,7,3,6,5,2,4]
[1,3,5,7,4,2,6] => [1,4,3,7,5,2,6]
[1,3,5,7,4,6,2] => [1,6,3,7,5,4,2]
[1,3,5,7,6,2,4] => [1,6,3,2,5,7,4]
[1,3,5,7,6,4,2] => [1,4,3,6,5,7,2]
[1,3,6,2,4,5,7] => [1,6,3,2,4,5,7]
[1,3,6,2,4,7,5] => [1,6,3,2,7,4,5]
[1,3,6,2,5,4,7] => [1,6,3,5,2,4,7]
[1,3,6,2,5,7,4] => [1,6,3,7,2,5,4]
[1,3,6,2,7,4,5] => [1,6,3,7,4,2,5]
[1,3,6,2,7,5,4] => [1,6,3,5,7,2,4]
[1,3,6,4,2,5,7] => [1,4,3,6,2,5,7]
[1,3,6,4,2,7,5] => [1,4,3,6,7,2,5]
[1,3,6,4,5,2,7] => [1,5,3,6,4,2,7]
[1,3,6,4,5,7,2] => [1,7,3,6,4,5,2]
[1,3,6,4,7,2,5] => [1,7,3,6,2,4,5]
[1,3,6,4,7,5,2] => [1,5,3,7,6,2,4]
[1,3,6,5,2,4,7] => [1,5,3,2,6,4,7]
[1,3,6,5,2,7,4] => [1,5,3,6,7,4,2]
[1,3,6,5,4,2,7] => [1,4,3,5,6,2,7]
[1,3,6,5,4,7,2] => [1,7,3,5,6,4,2]
[1,3,6,5,7,2,4] => [1,7,3,2,6,5,4]
[1,3,6,5,7,4,2] => [1,4,3,7,6,5,2]
[1,3,6,7,2,4,5] => [1,7,3,2,4,6,5]
[1,3,6,7,2,5,4] => [1,7,3,5,2,6,4]
[1,3,6,7,4,2,5] => [1,4,3,7,2,6,5]
[1,3,6,7,4,5,2] => [1,5,3,7,4,6,2]
[1,3,6,7,5,2,4] => [1,5,3,2,7,6,4]
[1,3,6,7,5,4,2] => [1,4,3,5,7,6,2]
[1,3,7,2,4,5,6] => [1,7,3,2,4,5,6]
[1,3,7,2,4,6,5] => [1,7,3,2,6,4,5]
[1,3,7,2,5,4,6] => [1,7,3,5,2,4,6]
[1,3,7,2,5,6,4] => [1,7,3,6,2,5,4]
[1,3,7,2,6,4,5] => [1,7,3,6,4,2,5]
[1,3,7,2,6,5,4] => [1,7,3,5,6,2,4]
[1,3,7,4,2,5,6] => [1,4,3,7,2,5,6]
[1,3,7,4,2,6,5] => [1,4,3,7,6,2,5]
[1,3,7,4,5,2,6] => [1,5,3,7,4,2,6]
[1,3,7,4,5,6,2] => [1,6,3,7,4,5,2]
[1,3,7,4,6,2,5] => [1,6,3,7,2,4,5]
[1,3,7,4,6,5,2] => [1,5,3,6,7,2,4]
[1,3,7,5,2,4,6] => [1,5,3,2,7,4,6]
[1,3,7,5,2,6,4] => [1,5,3,7,6,4,2]
[1,3,7,5,4,2,6] => [1,4,3,5,7,2,6]
[1,3,7,5,4,6,2] => [1,6,3,5,7,4,2]
[1,3,7,5,6,2,4] => [1,6,3,2,7,5,4]
[1,3,7,5,6,4,2] => [1,4,3,6,7,5,2]
[1,3,7,6,2,4,5] => [1,6,3,2,4,7,5]
[1,3,7,6,2,5,4] => [1,6,3,5,2,7,4]
[1,3,7,6,4,2,5] => [1,4,3,6,2,7,5]
[1,3,7,6,4,5,2] => [1,5,3,6,4,7,2]
[1,3,7,6,5,2,4] => [1,5,3,2,6,7,4]
[1,3,7,6,5,4,2] => [1,4,3,5,6,7,2]
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7]
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6]
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7]
[1,4,2,3,6,7,5] => [1,4,2,3,7,6,5]
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6]
[1,4,2,3,7,6,5] => [1,4,2,3,6,7,5]
[1,4,2,5,3,6,7] => [1,4,5,2,3,6,7]
[1,4,2,5,3,7,6] => [1,4,5,2,3,7,6]
[1,4,2,5,6,3,7] => [1,4,6,2,5,3,7]
[1,4,2,5,6,7,3] => [1,4,7,2,5,6,3]
[1,4,2,5,7,3,6] => [1,4,7,2,5,3,6]
[1,4,2,5,7,6,3] => [1,4,6,2,5,7,3]
[1,4,2,6,3,5,7] => [1,4,6,2,3,5,7]
[1,4,2,6,3,7,5] => [1,4,6,2,7,3,5]
[1,4,2,6,5,3,7] => [1,4,5,2,6,3,7]
[1,4,2,6,5,7,3] => [1,4,7,2,6,5,3]
[1,4,2,6,7,3,5] => [1,4,7,2,3,6,5]
[1,4,2,6,7,5,3] => [1,4,5,2,7,6,3]
[1,4,2,7,3,5,6] => [1,4,7,2,3,5,6]
[1,4,2,7,3,6,5] => [1,4,7,2,6,3,5]
[1,4,2,7,5,3,6] => [1,4,5,2,7,3,6]
[1,4,2,7,5,6,3] => [1,4,6,2,7,5,3]
[1,4,2,7,6,3,5] => [1,4,6,2,3,7,5]
[1,4,2,7,6,5,3] => [1,4,5,2,6,7,3]
[1,4,3,2,5,6,7] => [1,3,4,2,5,6,7]
[1,4,3,2,5,7,6] => [1,3,4,2,5,7,6]
[1,4,3,2,6,5,7] => [1,3,4,2,6,5,7]
[1,4,3,2,6,7,5] => [1,3,4,2,7,6,5]
[1,4,3,2,7,5,6] => [1,3,4,2,7,5,6]
[1,4,3,2,7,6,5] => [1,3,4,2,6,7,5]
[1,4,3,5,2,6,7] => [1,5,4,3,2,6,7]
[1,4,3,5,2,7,6] => [1,5,4,3,2,7,6]
[1,4,3,5,6,2,7] => [1,6,4,3,5,2,7]
[1,4,3,5,6,7,2] => [1,7,4,3,5,6,2]
[1,4,3,5,7,2,6] => [1,7,4,3,5,2,6]
[1,4,3,5,7,6,2] => [1,6,4,3,5,7,2]
[1,4,3,6,2,5,7] => [1,6,4,3,2,5,7]
[1,4,3,6,2,7,5] => [1,6,4,3,7,2,5]
[1,4,3,6,5,2,7] => [1,5,4,3,6,2,7]
[1,4,3,6,5,7,2] => [1,7,4,3,6,5,2]
[1,4,3,6,7,2,5] => [1,7,4,3,2,6,5]
[1,4,3,6,7,5,2] => [1,5,4,3,7,6,2]
[1,4,3,7,2,5,6] => [1,7,4,3,2,5,6]
[1,4,3,7,2,6,5] => [1,7,4,3,6,2,5]
[1,4,3,7,5,2,6] => [1,5,4,3,7,2,6]
[1,4,3,7,5,6,2] => [1,6,4,3,7,5,2]
[1,4,3,7,6,2,5] => [1,6,4,3,2,7,5]
[1,4,3,7,6,5,2] => [1,5,4,3,6,7,2]
[1,4,5,2,3,6,7] => [1,5,2,4,3,6,7]
[1,4,5,2,3,7,6] => [1,5,2,4,3,7,6]
[1,4,5,2,6,3,7] => [1,5,6,4,2,3,7]
[1,4,5,2,6,7,3] => [1,5,7,4,2,6,3]
[1,4,5,2,7,3,6] => [1,5,7,4,2,3,6]
[1,4,5,2,7,6,3] => [1,5,6,4,2,7,3]
[1,4,5,3,2,6,7] => [1,3,5,4,2,6,7]
[1,4,5,3,2,7,6] => [1,3,5,4,2,7,6]
[1,4,5,3,6,2,7] => [1,6,5,4,3,2,7]
[1,4,5,3,6,7,2] => [1,7,5,4,3,6,2]
[1,4,5,3,7,2,6] => [1,7,5,4,3,2,6]
[1,4,5,3,7,6,2] => [1,6,5,4,3,7,2]
[1,4,5,6,2,3,7] => [1,6,2,4,5,3,7]
[1,4,5,6,2,7,3] => [1,6,7,4,5,2,3]
[1,4,5,6,3,2,7] => [1,3,6,4,5,2,7]
[1,4,5,6,3,7,2] => [1,7,6,4,5,3,2]
[1,4,5,6,7,2,3] => [1,7,2,4,5,6,3]
[1,4,5,6,7,3,2] => [1,3,7,4,5,6,2]
[1,4,5,7,2,3,6] => [1,7,2,4,5,3,6]
[1,4,5,7,2,6,3] => [1,7,6,4,5,2,3]
[1,4,5,7,3,2,6] => [1,3,7,4,5,2,6]
[1,4,5,7,3,6,2] => [1,6,7,4,5,3,2]
[1,4,5,7,6,2,3] => [1,6,2,4,5,7,3]
[1,4,5,7,6,3,2] => [1,3,6,4,5,7,2]
[1,4,6,2,3,5,7] => [1,6,2,4,3,5,7]
[1,4,6,2,3,7,5] => [1,6,2,4,7,3,5]
[1,4,6,2,5,3,7] => [1,6,5,4,2,3,7]
[1,4,6,2,5,7,3] => [1,6,7,4,2,5,3]
[1,4,6,2,7,3,5] => [1,6,7,4,3,2,5]
[1,4,6,2,7,5,3] => [1,6,5,4,7,2,3]
[1,4,6,3,2,5,7] => [1,3,6,4,2,5,7]
[1,4,6,3,2,7,5] => [1,3,6,4,7,2,5]
[1,4,6,3,5,2,7] => [1,5,6,4,3,2,7]
[1,4,6,3,5,7,2] => [1,7,6,4,3,5,2]
[1,4,6,3,7,2,5] => [1,7,6,4,2,3,5]
[1,4,6,3,7,5,2] => [1,5,7,4,6,2,3]
[1,4,6,5,2,3,7] => [1,5,2,4,6,3,7]
[1,4,6,5,2,7,3] => [1,5,6,4,7,3,2]
[1,4,6,5,3,2,7] => [1,3,5,4,6,2,7]
-----------------------------------------------------------------------------
Created: Jul 01, 2021 at 16:46 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: May 17, 2023 at 17:52 by Martin Rubey