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* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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------------------------------------------------------------------------
Map identifier: Mp00326
------------------------------------------------------------------------
Map name: weak order rowmotion
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Return the reversal of the permutation obtained by inverting the corresponding Laguerre heap.
This map is the composite of [[Mp00241]] and [[Mp00064]].
Conjecturally, it is also the rowmotion on the weak order:
Any semidistributive lattice $L$ has a canonical labeling of the edges of its Hasse diagram by its join irreducible elements (see [1] and [2]). Rowmotion on this lattice is the bijection which takes an element $x \in L$ with a given set of down-labels to the unique element $y \in L$ which has that set as its up-labels (see [2] and [3]). For example, if the lattice is the distributive lattice $J(P)$ of order ideals of a finite poset $P$, then this reduces to ordinary rowmotion on the order ideals of $P$.
The weak order (a.k.a. permutohedral order) on the permutations in $S_n$ is a semidistributive lattice. In this way, we obtain an action of rowmotion on the set of permutations in $S_n$.
Note that the dynamics of weak order rowmotion is poorly understood. A collection of nontrivial homomesies is described in Corollary 6.14 of [4].
------------------------------------------------------------------------
References: [1] Reading, N. Noncrossing Arc Diagrams and Canonical Join Representations [[DOI:10.1137/140972391]] [[arXiv:1405.6904]]
[2] Barnard, E. The Canonical Join Complex [[DOI:10.37236/7866]] [[arXiv:1610.05137]]
[3] Thomas, H., Williams, N. Rowmotion in slow motion [[DOI:10.1112/plms.12251]] [[arXiv:1712.10123]]
[4] Hopkins, S. The CDE property for skew vexillary permutations [[DOI:10.1016/j.jcta.2019.06.005]] [[arXiv:1811.02404]]
[5] Defant, C., Williams, N. Semidistrim Lattices [[DOI:10.1017/fms.2023.46]] [[arXiv:2111.08122]]
------------------------------------------------------------------------
Code:
def invert_laguerre_heap(pi):
n = len(pi)
buffer = []
heap = []
for i in range(n):
if not i or pi[i-1] > pi[i]:
buffer.append(pi[i])
else:
heap.append(buffer[::-1])
buffer = [pi[i]]
if buffer:
heap.append(buffer[::-1])
heap = heap[::-1]
# bubble sort pieces
n = len(heap)
while True:
try:
i = next(i for i in range(n-1) if heap[i][0] > heap[i+1][-1])
except StopIteration:
break
heap[i], heap[i+1] = heap[i+1], heap[i]
sigma = []
while heap:
m = []
i = 0
for e in heap:
if (all(min(e) >= max(f) for f in m) or
all(max(e) <= min(f) for f in m)):
m.append(e)
i += 1
else:
break
heap = heap[i:]
for e in sorted(m, key=min):
sigma.extend(e[::-1])
return Permutation(sigma)
def mapping(x):
return invert_laguerre_heap(x).reverse()
# alternative, slow implementation, using the definition of rowmotion
# note that everything here is dualized (we use dual order and take joins of upper labels)
# def upper_labels(J, u):
# for v in u.permutohedron_pred():
# cur_min = None
# for j in J:
# if ((cur_min is None
# or cur_min.permutohedron_lequal(j))
# and v.permutohedron_lequal(j)
# and not u.permutohedron_lequal(j)):
# cur_min = j
# yield cur_min
#
# def mapping(x):
# n = len(x)
# bot = Permutation(range(n, 0, -1))
# if n > 1:
# J = [x for s in Subsets(range(n-1), n-2)
# for x in Permutations(descents=(s, n))]
# else:
# J = []
# v = bot
# for w in upper_labels(J, x):
# v = v.permutohedron_meet(w)
# return v
------------------------------------------------------------------------
Map images:
[1] => [1]
[1,2] => [2,1]
[2,1] => [1,2]
[1,2,3] => [3,2,1]
[1,3,2] => [2,3,1]
[2,1,3] => [3,1,2]
[2,3,1] => [2,1,3]
[3,1,2] => [1,3,2]
[3,2,1] => [1,2,3]
[1,2,3,4] => [4,3,2,1]
[1,2,4,3] => [3,4,2,1]
[1,3,2,4] => [4,2,3,1]
[1,3,4,2] => [3,2,4,1]
[1,4,2,3] => [2,4,3,1]
[1,4,3,2] => [2,3,4,1]
[2,1,3,4] => [4,3,1,2]
[2,1,4,3] => [3,4,1,2]
[2,3,1,4] => [4,2,1,3]
[2,3,4,1] => [3,2,1,4]
[2,4,1,3] => [2,1,4,3]
[2,4,3,1] => [2,1,3,4]
[3,1,2,4] => [4,1,3,2]
[3,1,4,2] => [1,3,2,4]
[3,2,1,4] => [4,1,2,3]
[3,2,4,1] => [2,3,1,4]
[3,4,1,2] => [3,1,4,2]
[3,4,2,1] => [3,1,2,4]
[4,1,2,3] => [1,4,3,2]
[4,1,3,2] => [1,4,2,3]
[4,2,1,3] => [1,2,4,3]
[4,2,3,1] => [2,4,1,3]
[4,3,1,2] => [1,3,4,2]
[4,3,2,1] => [1,2,3,4]
[1,2,3,4,5] => [5,4,3,2,1]
[1,2,3,5,4] => [4,5,3,2,1]
[1,2,4,3,5] => [5,3,4,2,1]
[1,2,4,5,3] => [4,3,5,2,1]
[1,2,5,3,4] => [3,5,4,2,1]
[1,2,5,4,3] => [3,4,5,2,1]
[1,3,2,4,5] => [5,4,2,3,1]
[1,3,2,5,4] => [4,5,2,3,1]
[1,3,4,2,5] => [5,3,2,4,1]
[1,3,4,5,2] => [4,3,2,5,1]
[1,3,5,2,4] => [3,2,5,4,1]
[1,3,5,4,2] => [3,2,4,5,1]
[1,4,2,3,5] => [5,2,4,3,1]
[1,4,2,5,3] => [2,4,3,5,1]
[1,4,3,2,5] => [5,2,3,4,1]
[1,4,3,5,2] => [3,4,2,5,1]
[1,4,5,2,3] => [4,2,5,3,1]
[1,4,5,3,2] => [4,2,3,5,1]
[1,5,2,3,4] => [2,5,4,3,1]
[1,5,2,4,3] => [2,5,3,4,1]
[1,5,3,2,4] => [2,3,5,4,1]
[1,5,3,4,2] => [3,5,2,4,1]
[1,5,4,2,3] => [2,4,5,3,1]
[1,5,4,3,2] => [2,3,4,5,1]
[2,1,3,4,5] => [5,4,3,1,2]
[2,1,3,5,4] => [4,5,3,1,2]
[2,1,4,3,5] => [5,3,4,1,2]
[2,1,4,5,3] => [4,3,5,1,2]
[2,1,5,3,4] => [3,5,4,1,2]
[2,1,5,4,3] => [3,4,5,1,2]
[2,3,1,4,5] => [5,4,2,1,3]
[2,3,1,5,4] => [4,5,2,1,3]
[2,3,4,1,5] => [5,3,2,1,4]
[2,3,4,5,1] => [4,3,2,1,5]
[2,3,5,1,4] => [3,2,1,5,4]
[2,3,5,4,1] => [3,2,1,4,5]
[2,4,1,3,5] => [5,2,1,4,3]
[2,4,1,5,3] => [2,1,4,3,5]
[2,4,3,1,5] => [5,2,1,3,4]
[2,4,3,5,1] => [3,4,2,1,5]
[2,4,5,1,3] => [4,2,1,5,3]
[2,4,5,3,1] => [4,2,1,3,5]
[2,5,1,3,4] => [2,1,5,4,3]
[2,5,1,4,3] => [2,1,5,3,4]
[2,5,3,1,4] => [2,1,3,5,4]
[2,5,3,4,1] => [3,5,2,1,4]
[2,5,4,1,3] => [2,1,4,5,3]
[2,5,4,3,1] => [2,1,3,4,5]
[3,1,2,4,5] => [5,4,1,3,2]
[3,1,2,5,4] => [4,5,1,3,2]
[3,1,4,2,5] => [5,1,3,2,4]
[3,1,4,5,2] => [4,1,3,2,5]
[3,1,5,2,4] => [1,3,2,5,4]
[3,1,5,4,2] => [1,3,2,4,5]
[3,2,1,4,5] => [5,4,1,2,3]
[3,2,1,5,4] => [4,5,1,2,3]
[3,2,4,1,5] => [5,2,3,1,4]
[3,2,4,5,1] => [4,2,3,1,5]
[3,2,5,1,4] => [2,3,1,5,4]
[3,2,5,4,1] => [2,3,1,4,5]
[3,4,1,2,5] => [5,3,1,4,2]
[3,4,1,5,2] => [3,1,4,2,5]
[3,4,2,1,5] => [5,3,1,2,4]
[3,4,2,5,1] => [3,2,4,1,5]
[3,4,5,1,2] => [4,3,1,5,2]
[3,4,5,2,1] => [4,3,1,2,5]
[3,5,1,2,4] => [3,1,5,4,2]
[3,5,1,4,2] => [3,1,5,2,4]
[3,5,2,1,4] => [3,1,2,5,4]
[3,5,2,4,1] => [3,2,5,1,4]
[3,5,4,1,2] => [3,1,4,5,2]
[3,5,4,2,1] => [3,1,2,4,5]
[4,1,2,3,5] => [5,1,4,3,2]
[4,1,2,5,3] => [1,4,3,5,2]
[4,1,3,2,5] => [5,1,4,2,3]
[4,1,3,5,2] => [1,4,3,2,5]
[4,1,5,2,3] => [1,4,2,5,3]
[4,1,5,3,2] => [1,4,2,3,5]
[4,2,1,3,5] => [5,1,2,4,3]
[4,2,1,5,3] => [1,2,4,3,5]
[4,2,3,1,5] => [5,2,4,1,3]
[4,2,3,5,1] => [2,4,3,1,5]
[4,2,5,1,3] => [2,4,1,5,3]
[4,2,5,3,1] => [2,4,1,3,5]
[4,3,1,2,5] => [5,1,3,4,2]
[4,3,1,5,2] => [1,3,4,2,5]
[4,3,2,1,5] => [5,1,2,3,4]
[4,3,2,5,1] => [2,3,4,1,5]
[4,3,5,1,2] => [3,4,1,5,2]
[4,3,5,2,1] => [3,4,1,2,5]
[4,5,1,2,3] => [4,1,5,3,2]
[4,5,1,3,2] => [4,1,5,2,3]
[4,5,2,1,3] => [4,1,2,5,3]
[4,5,2,3,1] => [4,2,5,1,3]
[4,5,3,1,2] => [4,1,3,5,2]
[4,5,3,2,1] => [4,1,2,3,5]
[5,1,2,3,4] => [1,5,4,3,2]
[5,1,2,4,3] => [1,5,3,4,2]
[5,1,3,2,4] => [1,5,4,2,3]
[5,1,3,4,2] => [1,5,3,2,4]
[5,1,4,2,3] => [1,5,2,4,3]
[5,1,4,3,2] => [1,5,2,3,4]
[5,2,1,3,4] => [1,2,5,4,3]
[5,2,1,4,3] => [1,2,5,3,4]
[5,2,3,1,4] => [2,5,4,1,3]
[5,2,3,4,1] => [2,5,3,1,4]
[5,2,4,1,3] => [2,5,1,4,3]
[5,2,4,3,1] => [2,5,1,3,4]
[5,3,1,2,4] => [1,3,5,4,2]
[5,3,1,4,2] => [1,3,5,2,4]
[5,3,2,1,4] => [1,2,3,5,4]
[5,3,2,4,1] => [2,3,5,1,4]
[5,3,4,1,2] => [3,5,1,4,2]
[5,3,4,2,1] => [3,5,1,2,4]
[5,4,1,2,3] => [1,4,5,3,2]
[5,4,1,3,2] => [1,4,5,2,3]
[5,4,2,1,3] => [1,2,4,5,3]
[5,4,2,3,1] => [2,4,5,1,3]
[5,4,3,1,2] => [1,3,4,5,2]
[5,4,3,2,1] => [1,2,3,4,5]
[1,2,3,4,5,6] => [6,5,4,3,2,1]
[1,2,3,4,6,5] => [5,6,4,3,2,1]
[1,2,3,5,4,6] => [6,4,5,3,2,1]
[1,2,3,5,6,4] => [5,4,6,3,2,1]
[1,2,3,6,4,5] => [4,6,5,3,2,1]
[1,2,3,6,5,4] => [4,5,6,3,2,1]
[1,2,4,3,5,6] => [6,5,3,4,2,1]
[1,2,4,3,6,5] => [5,6,3,4,2,1]
[1,2,4,5,3,6] => [6,4,3,5,2,1]
[1,2,4,5,6,3] => [5,4,3,6,2,1]
[1,2,4,6,3,5] => [4,3,6,5,2,1]
[1,2,4,6,5,3] => [4,3,5,6,2,1]
[1,2,5,3,4,6] => [6,3,5,4,2,1]
[1,2,5,3,6,4] => [3,5,4,6,2,1]
[1,2,5,4,3,6] => [6,3,4,5,2,1]
[1,2,5,4,6,3] => [4,5,3,6,2,1]
[1,2,5,6,3,4] => [5,3,6,4,2,1]
[1,2,5,6,4,3] => [5,3,4,6,2,1]
[1,2,6,3,4,5] => [3,6,5,4,2,1]
[1,2,6,3,5,4] => [3,6,4,5,2,1]
[1,2,6,4,3,5] => [3,4,6,5,2,1]
[1,2,6,4,5,3] => [4,6,3,5,2,1]
[1,2,6,5,3,4] => [3,5,6,4,2,1]
[1,2,6,5,4,3] => [3,4,5,6,2,1]
[1,3,2,4,5,6] => [6,5,4,2,3,1]
[1,3,2,4,6,5] => [5,6,4,2,3,1]
[1,3,2,5,4,6] => [6,4,5,2,3,1]
[1,3,2,5,6,4] => [5,4,6,2,3,1]
[1,3,2,6,4,5] => [4,6,5,2,3,1]
[1,3,2,6,5,4] => [4,5,6,2,3,1]
[1,3,4,2,5,6] => [6,5,3,2,4,1]
[1,3,4,2,6,5] => [5,6,3,2,4,1]
[1,3,4,5,2,6] => [6,4,3,2,5,1]
[1,3,4,5,6,2] => [5,4,3,2,6,1]
[1,3,4,6,2,5] => [4,3,2,6,5,1]
[1,3,4,6,5,2] => [4,3,2,5,6,1]
[1,3,5,2,4,6] => [6,3,2,5,4,1]
[1,3,5,2,6,4] => [3,2,5,4,6,1]
[1,3,5,4,2,6] => [6,3,2,4,5,1]
[1,3,5,4,6,2] => [4,5,3,2,6,1]
[1,3,5,6,2,4] => [5,3,2,6,4,1]
[1,3,5,6,4,2] => [5,3,2,4,6,1]
[1,3,6,2,4,5] => [3,2,6,5,4,1]
[1,3,6,2,5,4] => [3,2,6,4,5,1]
[1,3,6,4,2,5] => [3,2,4,6,5,1]
[1,3,6,4,5,2] => [4,6,3,2,5,1]
[1,3,6,5,2,4] => [3,2,5,6,4,1]
[1,3,6,5,4,2] => [3,2,4,5,6,1]
[1,4,2,3,5,6] => [6,5,2,4,3,1]
[1,4,2,3,6,5] => [5,6,2,4,3,1]
[1,4,2,5,3,6] => [6,2,4,3,5,1]
[1,4,2,5,6,3] => [5,2,4,3,6,1]
[1,4,2,6,3,5] => [2,4,3,6,5,1]
[1,4,2,6,5,3] => [2,4,3,5,6,1]
[1,4,3,2,5,6] => [6,5,2,3,4,1]
[1,4,3,2,6,5] => [5,6,2,3,4,1]
[1,4,3,5,2,6] => [6,3,4,2,5,1]
[1,4,3,5,6,2] => [5,3,4,2,6,1]
[1,4,3,6,2,5] => [3,4,2,6,5,1]
[1,4,3,6,5,2] => [3,4,2,5,6,1]
[1,4,5,2,3,6] => [6,4,2,5,3,1]
[1,4,5,2,6,3] => [4,2,5,3,6,1]
[1,4,5,3,2,6] => [6,4,2,3,5,1]
[1,4,5,3,6,2] => [4,3,5,2,6,1]
[1,4,5,6,2,3] => [5,4,2,6,3,1]
[1,4,5,6,3,2] => [5,4,2,3,6,1]
[1,4,6,2,3,5] => [4,2,6,5,3,1]
[1,4,6,2,5,3] => [4,2,6,3,5,1]
[1,4,6,3,2,5] => [4,2,3,6,5,1]
[1,4,6,3,5,2] => [4,3,6,2,5,1]
[1,4,6,5,2,3] => [4,2,5,6,3,1]
[1,4,6,5,3,2] => [4,2,3,5,6,1]
[1,5,2,3,4,6] => [6,2,5,4,3,1]
[1,5,2,3,6,4] => [2,5,4,6,3,1]
[1,5,2,4,3,6] => [6,2,5,3,4,1]
[1,5,2,4,6,3] => [2,5,4,3,6,1]
[1,5,2,6,3,4] => [2,5,3,6,4,1]
[1,5,2,6,4,3] => [2,5,3,4,6,1]
[1,5,3,2,4,6] => [6,2,3,5,4,1]
[1,5,3,2,6,4] => [2,3,5,4,6,1]
[1,5,3,4,2,6] => [6,3,5,2,4,1]
[1,5,3,4,6,2] => [3,5,4,2,6,1]
[1,5,3,6,2,4] => [3,5,2,6,4,1]
[1,5,3,6,4,2] => [3,5,2,4,6,1]
[1,5,4,2,3,6] => [6,2,4,5,3,1]
[1,5,4,2,6,3] => [2,4,5,3,6,1]
[1,5,4,3,2,6] => [6,2,3,4,5,1]
[1,5,4,3,6,2] => [3,4,5,2,6,1]
[1,5,4,6,2,3] => [4,5,2,6,3,1]
[1,5,4,6,3,2] => [4,5,2,3,6,1]
[1,5,6,2,3,4] => [5,2,6,4,3,1]
[1,5,6,2,4,3] => [5,2,6,3,4,1]
[1,5,6,3,2,4] => [5,2,3,6,4,1]
[1,5,6,3,4,2] => [5,3,6,2,4,1]
[1,5,6,4,2,3] => [5,2,4,6,3,1]
[1,5,6,4,3,2] => [5,2,3,4,6,1]
[1,6,2,3,4,5] => [2,6,5,4,3,1]
[1,6,2,3,5,4] => [2,6,4,5,3,1]
[1,6,2,4,3,5] => [2,6,5,3,4,1]
[1,6,2,4,5,3] => [2,6,4,3,5,1]
[1,6,2,5,3,4] => [2,6,3,5,4,1]
[1,6,2,5,4,3] => [2,6,3,4,5,1]
[1,6,3,2,4,5] => [2,3,6,5,4,1]
[1,6,3,2,5,4] => [2,3,6,4,5,1]
[1,6,3,4,2,5] => [3,6,5,2,4,1]
[1,6,3,4,5,2] => [3,6,4,2,5,1]
[1,6,3,5,2,4] => [3,6,2,5,4,1]
[1,6,3,5,4,2] => [3,6,2,4,5,1]
[1,6,4,2,3,5] => [2,4,6,5,3,1]
[1,6,4,2,5,3] => [2,4,6,3,5,1]
[1,6,4,3,2,5] => [2,3,4,6,5,1]
[1,6,4,3,5,2] => [3,4,6,2,5,1]
[1,6,4,5,2,3] => [4,6,2,5,3,1]
[1,6,4,5,3,2] => [4,6,2,3,5,1]
[1,6,5,2,3,4] => [2,5,6,4,3,1]
[1,6,5,2,4,3] => [2,5,6,3,4,1]
[1,6,5,3,2,4] => [2,3,5,6,4,1]
[1,6,5,3,4,2] => [3,5,6,2,4,1]
[1,6,5,4,2,3] => [2,4,5,6,3,1]
[1,6,5,4,3,2] => [2,3,4,5,6,1]
[2,1,3,4,5,6] => [6,5,4,3,1,2]
[2,1,3,4,6,5] => [5,6,4,3,1,2]
[2,1,3,5,4,6] => [6,4,5,3,1,2]
[2,1,3,5,6,4] => [5,4,6,3,1,2]
[2,1,3,6,4,5] => [4,6,5,3,1,2]
[2,1,3,6,5,4] => [4,5,6,3,1,2]
[2,1,4,3,5,6] => [6,5,3,4,1,2]
[2,1,4,3,6,5] => [5,6,3,4,1,2]
[2,1,4,5,3,6] => [6,4,3,5,1,2]
[2,1,4,5,6,3] => [5,4,3,6,1,2]
[2,1,4,6,3,5] => [4,3,6,5,1,2]
[2,1,4,6,5,3] => [4,3,5,6,1,2]
[2,1,5,3,4,6] => [6,3,5,4,1,2]
[2,1,5,3,6,4] => [3,5,4,6,1,2]
[2,1,5,4,3,6] => [6,3,4,5,1,2]
[2,1,5,4,6,3] => [4,5,3,6,1,2]
[2,1,5,6,3,4] => [5,3,6,4,1,2]
[2,1,5,6,4,3] => [5,3,4,6,1,2]
[2,1,6,3,4,5] => [3,6,5,4,1,2]
[2,1,6,3,5,4] => [3,6,4,5,1,2]
[2,1,6,4,3,5] => [3,4,6,5,1,2]
[2,1,6,4,5,3] => [4,6,3,5,1,2]
[2,1,6,5,3,4] => [3,5,6,4,1,2]
[2,1,6,5,4,3] => [3,4,5,6,1,2]
[2,3,1,4,5,6] => [6,5,4,2,1,3]
[2,3,1,4,6,5] => [5,6,4,2,1,3]
[2,3,1,5,4,6] => [6,4,5,2,1,3]
[2,3,1,5,6,4] => [5,4,6,2,1,3]
[2,3,1,6,4,5] => [4,6,5,2,1,3]
[2,3,1,6,5,4] => [4,5,6,2,1,3]
[2,3,4,1,5,6] => [6,5,3,2,1,4]
[2,3,4,1,6,5] => [5,6,3,2,1,4]
[2,3,4,5,1,6] => [6,4,3,2,1,5]
[2,3,4,5,6,1] => [5,4,3,2,1,6]
[2,3,4,6,1,5] => [4,3,2,1,6,5]
[2,3,4,6,5,1] => [4,3,2,1,5,6]
[2,3,5,1,4,6] => [6,3,2,1,5,4]
[2,3,5,1,6,4] => [3,2,1,5,4,6]
[2,3,5,4,1,6] => [6,3,2,1,4,5]
[2,3,5,4,6,1] => [4,5,3,2,1,6]
[2,3,5,6,1,4] => [5,3,2,1,6,4]
[2,3,5,6,4,1] => [5,3,2,1,4,6]
[2,3,6,1,4,5] => [3,2,1,6,5,4]
[2,3,6,1,5,4] => [3,2,1,6,4,5]
[2,3,6,4,1,5] => [3,2,1,4,6,5]
[2,3,6,4,5,1] => [4,6,3,2,1,5]
[2,3,6,5,1,4] => [3,2,1,5,6,4]
[2,3,6,5,4,1] => [3,2,1,4,5,6]
[2,4,1,3,5,6] => [6,5,2,1,4,3]
[2,4,1,3,6,5] => [5,6,2,1,4,3]
[2,4,1,5,3,6] => [6,2,1,4,3,5]
[2,4,1,5,6,3] => [5,2,1,4,3,6]
[2,4,1,6,3,5] => [2,1,4,3,6,5]
[2,4,1,6,5,3] => [2,1,4,3,5,6]
[2,4,3,1,5,6] => [6,5,2,1,3,4]
[2,4,3,1,6,5] => [5,6,2,1,3,4]
[2,4,3,5,1,6] => [6,3,4,2,1,5]
[2,4,3,5,6,1] => [5,3,4,2,1,6]
[2,4,3,6,1,5] => [3,4,2,1,6,5]
[2,4,3,6,5,1] => [3,4,2,1,5,6]
[2,4,5,1,3,6] => [6,4,2,1,5,3]
[2,4,5,1,6,3] => [4,2,1,5,3,6]
[2,4,5,3,1,6] => [6,4,2,1,3,5]
[2,4,5,3,6,1] => [4,3,5,2,1,6]
[2,4,5,6,1,3] => [5,4,2,1,6,3]
[2,4,5,6,3,1] => [5,4,2,1,3,6]
[2,4,6,1,3,5] => [4,2,1,6,5,3]
[2,4,6,1,5,3] => [4,2,1,6,3,5]
[2,4,6,3,1,5] => [4,2,1,3,6,5]
[2,4,6,3,5,1] => [4,3,6,2,1,5]
[2,4,6,5,1,3] => [4,2,1,5,6,3]
[2,4,6,5,3,1] => [4,2,1,3,5,6]
[2,5,1,3,4,6] => [6,2,1,5,4,3]
[2,5,1,3,6,4] => [2,1,5,4,6,3]
[2,5,1,4,3,6] => [6,2,1,5,3,4]
[2,5,1,4,6,3] => [2,1,5,4,3,6]
[2,5,1,6,3,4] => [2,1,5,3,6,4]
[2,5,1,6,4,3] => [2,1,5,3,4,6]
[2,5,3,1,4,6] => [6,2,1,3,5,4]
[2,5,3,1,6,4] => [2,1,3,5,4,6]
[2,5,3,4,1,6] => [6,3,5,2,1,4]
[2,5,3,4,6,1] => [3,5,4,2,1,6]
[2,5,3,6,1,4] => [3,5,2,1,6,4]
[2,5,3,6,4,1] => [3,5,2,1,4,6]
[2,5,4,1,3,6] => [6,2,1,4,5,3]
[2,5,4,1,6,3] => [2,1,4,5,3,6]
[2,5,4,3,1,6] => [6,2,1,3,4,5]
[2,5,4,3,6,1] => [3,4,5,2,1,6]
[2,5,4,6,1,3] => [4,5,2,1,6,3]
[2,5,4,6,3,1] => [4,5,2,1,3,6]
[2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,5,6,1,4,3] => [5,2,1,6,3,4]
[2,5,6,3,1,4] => [5,2,1,3,6,4]
[2,5,6,3,4,1] => [5,3,6,2,1,4]
[2,5,6,4,1,3] => [5,2,1,4,6,3]
[2,5,6,4,3,1] => [5,2,1,3,4,6]
[2,6,1,3,4,5] => [2,1,6,5,4,3]
[2,6,1,3,5,4] => [2,1,6,4,5,3]
[2,6,1,4,3,5] => [2,1,6,5,3,4]
[2,6,1,4,5,3] => [2,1,6,4,3,5]
[2,6,1,5,3,4] => [2,1,6,3,5,4]
[2,6,1,5,4,3] => [2,1,6,3,4,5]
[2,6,3,1,4,5] => [2,1,3,6,5,4]
[2,6,3,1,5,4] => [2,1,3,6,4,5]
[2,6,3,4,1,5] => [3,6,5,2,1,4]
[2,6,3,4,5,1] => [3,6,4,2,1,5]
[2,6,3,5,1,4] => [3,6,2,1,5,4]
[2,6,3,5,4,1] => [3,6,2,1,4,5]
[2,6,4,1,3,5] => [2,1,4,6,5,3]
[2,6,4,1,5,3] => [2,1,4,6,3,5]
[2,6,4,3,1,5] => [2,1,3,4,6,5]
[2,6,4,3,5,1] => [3,4,6,2,1,5]
[2,6,4,5,1,3] => [4,6,2,1,5,3]
[2,6,4,5,3,1] => [4,6,2,1,3,5]
[2,6,5,1,3,4] => [2,1,5,6,4,3]
[2,6,5,1,4,3] => [2,1,5,6,3,4]
[2,6,5,3,1,4] => [2,1,3,5,6,4]
[2,6,5,3,4,1] => [3,5,6,2,1,4]
[2,6,5,4,1,3] => [2,1,4,5,6,3]
[2,6,5,4,3,1] => [2,1,3,4,5,6]
[3,1,2,4,5,6] => [6,5,4,1,3,2]
[3,1,2,4,6,5] => [5,6,4,1,3,2]
[3,1,2,5,4,6] => [6,4,5,1,3,2]
[3,1,2,5,6,4] => [5,4,6,1,3,2]
[3,1,2,6,4,5] => [4,6,5,1,3,2]
[3,1,2,6,5,4] => [4,5,6,1,3,2]
[3,1,4,2,5,6] => [6,5,1,3,2,4]
[3,1,4,2,6,5] => [5,6,1,3,2,4]
[3,1,4,5,2,6] => [6,4,1,3,2,5]
[3,1,4,5,6,2] => [5,4,1,3,2,6]
[3,1,4,6,2,5] => [4,1,3,2,6,5]
[3,1,4,6,5,2] => [4,1,3,2,5,6]
[3,1,5,2,4,6] => [6,1,3,2,5,4]
[3,1,5,2,6,4] => [1,3,2,5,4,6]
[3,1,5,4,2,6] => [6,1,3,2,4,5]
[3,1,5,4,6,2] => [4,5,1,3,2,6]
[3,1,5,6,2,4] => [5,1,3,2,6,4]
[3,1,5,6,4,2] => [5,1,3,2,4,6]
[3,1,6,2,4,5] => [1,3,2,6,5,4]
[3,1,6,2,5,4] => [1,3,2,6,4,5]
[3,1,6,4,2,5] => [1,3,2,4,6,5]
[3,1,6,4,5,2] => [4,6,1,3,2,5]
[3,1,6,5,2,4] => [1,3,2,5,6,4]
[3,1,6,5,4,2] => [1,3,2,4,5,6]
[3,2,1,4,5,6] => [6,5,4,1,2,3]
[3,2,1,4,6,5] => [5,6,4,1,2,3]
[3,2,1,5,4,6] => [6,4,5,1,2,3]
[3,2,1,5,6,4] => [5,4,6,1,2,3]
[3,2,1,6,4,5] => [4,6,5,1,2,3]
[3,2,1,6,5,4] => [4,5,6,1,2,3]
[3,2,4,1,5,6] => [6,5,2,3,1,4]
[3,2,4,1,6,5] => [5,6,2,3,1,4]
[3,2,4,5,1,6] => [6,4,2,3,1,5]
[3,2,4,5,6,1] => [5,4,2,3,1,6]
[3,2,4,6,1,5] => [4,2,3,1,6,5]
[3,2,4,6,5,1] => [4,2,3,1,5,6]
[3,2,5,1,4,6] => [6,2,3,1,5,4]
[3,2,5,1,6,4] => [2,3,1,5,4,6]
[3,2,5,4,1,6] => [6,2,3,1,4,5]
[3,2,5,4,6,1] => [4,5,2,3,1,6]
[3,2,5,6,1,4] => [5,2,3,1,6,4]
[3,2,5,6,4,1] => [5,2,3,1,4,6]
[3,2,6,1,4,5] => [2,3,1,6,5,4]
[3,2,6,1,5,4] => [2,3,1,6,4,5]
[3,2,6,4,1,5] => [2,3,1,4,6,5]
[3,2,6,4,5,1] => [4,6,2,3,1,5]
[3,2,6,5,1,4] => [2,3,1,5,6,4]
[3,2,6,5,4,1] => [2,3,1,4,5,6]
[3,4,1,2,5,6] => [6,5,3,1,4,2]
[3,4,1,2,6,5] => [5,6,3,1,4,2]
[3,4,1,5,2,6] => [6,3,1,4,2,5]
[3,4,1,5,6,2] => [5,3,1,4,2,6]
[3,4,1,6,2,5] => [3,1,4,2,6,5]
[3,4,1,6,5,2] => [3,1,4,2,5,6]
[3,4,2,1,5,6] => [6,5,3,1,2,4]
[3,4,2,1,6,5] => [5,6,3,1,2,4]
[3,4,2,5,1,6] => [6,3,2,4,1,5]
[3,4,2,5,6,1] => [5,3,2,4,1,6]
[3,4,2,6,1,5] => [3,2,4,1,6,5]
[3,4,2,6,5,1] => [3,2,4,1,5,6]
[3,4,5,1,2,6] => [6,4,3,1,5,2]
[3,4,5,1,6,2] => [4,3,1,5,2,6]
[3,4,5,2,1,6] => [6,4,3,1,2,5]
[3,4,5,2,6,1] => [4,3,2,5,1,6]
[3,4,5,6,1,2] => [5,4,3,1,6,2]
[3,4,5,6,2,1] => [5,4,3,1,2,6]
[3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,4,6,1,5,2] => [4,3,1,6,2,5]
[3,4,6,2,1,5] => [4,3,1,2,6,5]
[3,4,6,2,5,1] => [4,3,2,6,1,5]
[3,4,6,5,1,2] => [4,3,1,5,6,2]
[3,4,6,5,2,1] => [4,3,1,2,5,6]
[3,5,1,2,4,6] => [6,3,1,5,4,2]
[3,5,1,2,6,4] => [3,1,5,4,6,2]
[3,5,1,4,2,6] => [6,3,1,5,2,4]
[3,5,1,4,6,2] => [3,1,5,4,2,6]
[3,5,1,6,2,4] => [3,1,5,2,6,4]
[3,5,1,6,4,2] => [3,1,5,2,4,6]
[3,5,2,1,4,6] => [6,3,1,2,5,4]
[3,5,2,1,6,4] => [3,1,2,5,4,6]
[3,5,2,4,1,6] => [6,3,2,5,1,4]
[3,5,2,4,6,1] => [3,2,5,4,1,6]
[3,5,2,6,1,4] => [3,2,5,1,6,4]
[3,5,2,6,4,1] => [3,2,5,1,4,6]
[3,5,4,1,2,6] => [6,3,1,4,5,2]
[3,5,4,1,6,2] => [3,1,4,5,2,6]
[3,5,4,2,1,6] => [6,3,1,2,4,5]
[3,5,4,2,6,1] => [3,2,4,5,1,6]
[3,5,4,6,1,2] => [4,5,3,1,6,2]
[3,5,4,6,2,1] => [4,5,3,1,2,6]
[3,5,6,1,2,4] => [5,3,1,6,4,2]
[3,5,6,1,4,2] => [5,3,1,6,2,4]
[3,5,6,2,1,4] => [5,3,1,2,6,4]
[3,5,6,2,4,1] => [5,3,2,6,1,4]
[3,5,6,4,1,2] => [5,3,1,4,6,2]
[3,5,6,4,2,1] => [5,3,1,2,4,6]
[3,6,1,2,4,5] => [3,1,6,5,4,2]
[3,6,1,2,5,4] => [3,1,6,4,5,2]
[3,6,1,4,2,5] => [3,1,6,5,2,4]
[3,6,1,4,5,2] => [3,1,6,4,2,5]
[3,6,1,5,2,4] => [3,1,6,2,5,4]
[3,6,1,5,4,2] => [3,1,6,2,4,5]
[3,6,2,1,4,5] => [3,1,2,6,5,4]
[3,6,2,1,5,4] => [3,1,2,6,4,5]
[3,6,2,4,1,5] => [3,2,6,5,1,4]
[3,6,2,4,5,1] => [3,2,6,4,1,5]
[3,6,2,5,1,4] => [3,2,6,1,5,4]
[3,6,2,5,4,1] => [3,2,6,1,4,5]
[3,6,4,1,2,5] => [3,1,4,6,5,2]
[3,6,4,1,5,2] => [3,1,4,6,2,5]
[3,6,4,2,1,5] => [3,1,2,4,6,5]
[3,6,4,2,5,1] => [3,2,4,6,1,5]
[3,6,4,5,1,2] => [4,6,3,1,5,2]
[3,6,4,5,2,1] => [4,6,3,1,2,5]
[3,6,5,1,2,4] => [3,1,5,6,4,2]
[3,6,5,1,4,2] => [3,1,5,6,2,4]
[3,6,5,2,1,4] => [3,1,2,5,6,4]
[3,6,5,2,4,1] => [3,2,5,6,1,4]
[3,6,5,4,1,2] => [3,1,4,5,6,2]
[3,6,5,4,2,1] => [3,1,2,4,5,6]
[4,1,2,3,5,6] => [6,5,1,4,3,2]
[4,1,2,3,6,5] => [5,6,1,4,3,2]
[4,1,2,5,3,6] => [6,1,4,3,5,2]
[4,1,2,5,6,3] => [5,1,4,3,6,2]
[4,1,2,6,3,5] => [1,4,3,6,5,2]
[4,1,2,6,5,3] => [1,4,3,5,6,2]
[4,1,3,2,5,6] => [6,5,1,4,2,3]
[4,1,3,2,6,5] => [5,6,1,4,2,3]
[4,1,3,5,2,6] => [6,1,4,3,2,5]
[4,1,3,5,6,2] => [5,1,4,3,2,6]
[4,1,3,6,2,5] => [1,4,3,2,6,5]
[4,1,3,6,5,2] => [1,4,3,2,5,6]
[4,1,5,2,3,6] => [6,1,4,2,5,3]
[4,1,5,2,6,3] => [1,4,2,5,3,6]
[4,1,5,3,2,6] => [6,1,4,2,3,5]
[4,1,5,3,6,2] => [1,4,3,5,2,6]
[4,1,5,6,2,3] => [5,1,4,2,6,3]
[4,1,5,6,3,2] => [5,1,4,2,3,6]
[4,1,6,2,3,5] => [1,4,2,6,5,3]
[4,1,6,2,5,3] => [1,4,2,6,3,5]
[4,1,6,3,2,5] => [1,4,2,3,6,5]
[4,1,6,3,5,2] => [1,4,3,6,2,5]
[4,1,6,5,2,3] => [1,4,2,5,6,3]
[4,1,6,5,3,2] => [1,4,2,3,5,6]
[4,2,1,3,5,6] => [6,5,1,2,4,3]
[4,2,1,3,6,5] => [5,6,1,2,4,3]
[4,2,1,5,3,6] => [6,1,2,4,3,5]
[4,2,1,5,6,3] => [5,1,2,4,3,6]
[4,2,1,6,3,5] => [1,2,4,3,6,5]
[4,2,1,6,5,3] => [1,2,4,3,5,6]
[4,2,3,1,5,6] => [6,5,2,4,1,3]
[4,2,3,1,6,5] => [5,6,2,4,1,3]
[4,2,3,5,1,6] => [6,2,4,3,1,5]
[4,2,3,5,6,1] => [5,2,4,3,1,6]
[4,2,3,6,1,5] => [2,4,3,1,6,5]
[4,2,3,6,5,1] => [2,4,3,1,5,6]
[4,2,5,1,3,6] => [6,2,4,1,5,3]
[4,2,5,1,6,3] => [2,4,1,5,3,6]
[4,2,5,3,1,6] => [6,2,4,1,3,5]
[4,2,5,3,6,1] => [2,4,3,5,1,6]
[4,2,5,6,1,3] => [5,2,4,1,6,3]
[4,2,5,6,3,1] => [5,2,4,1,3,6]
[4,2,6,1,3,5] => [2,4,1,6,5,3]
[4,2,6,1,5,3] => [2,4,1,6,3,5]
[4,2,6,3,1,5] => [2,4,1,3,6,5]
[4,2,6,3,5,1] => [2,4,3,6,1,5]
[4,2,6,5,1,3] => [2,4,1,5,6,3]
[4,2,6,5,3,1] => [2,4,1,3,5,6]
[4,3,1,2,5,6] => [6,5,1,3,4,2]
[4,3,1,2,6,5] => [5,6,1,3,4,2]
[4,3,1,5,2,6] => [6,1,3,4,2,5]
[4,3,1,5,6,2] => [5,1,3,4,2,6]
[4,3,1,6,2,5] => [1,3,4,2,6,5]
[4,3,1,6,5,2] => [1,3,4,2,5,6]
[4,3,2,1,5,6] => [6,5,1,2,3,4]
[4,3,2,1,6,5] => [5,6,1,2,3,4]
[4,3,2,5,1,6] => [6,2,3,4,1,5]
[4,3,2,5,6,1] => [5,2,3,4,1,6]
[4,3,2,6,1,5] => [2,3,4,1,6,5]
[4,3,2,6,5,1] => [2,3,4,1,5,6]
[4,3,5,1,2,6] => [6,3,4,1,5,2]
[4,3,5,1,6,2] => [3,4,1,5,2,6]
[4,3,5,2,1,6] => [6,3,4,1,2,5]
[4,3,5,2,6,1] => [3,4,2,5,1,6]
[4,3,5,6,1,2] => [5,3,4,1,6,2]
[4,3,5,6,2,1] => [5,3,4,1,2,6]
[4,3,6,1,2,5] => [3,4,1,6,5,2]
[4,3,6,1,5,2] => [3,4,1,6,2,5]
[4,3,6,2,1,5] => [3,4,1,2,6,5]
[4,3,6,2,5,1] => [3,4,2,6,1,5]
[4,3,6,5,1,2] => [3,4,1,5,6,2]
[4,3,6,5,2,1] => [3,4,1,2,5,6]
[4,5,1,2,3,6] => [6,4,1,5,3,2]
[4,5,1,2,6,3] => [4,1,5,3,6,2]
[4,5,1,3,2,6] => [6,4,1,5,2,3]
[4,5,1,3,6,2] => [4,1,5,3,2,6]
[4,5,1,6,2,3] => [4,1,5,2,6,3]
[4,5,1,6,3,2] => [4,1,5,2,3,6]
[4,5,2,1,3,6] => [6,4,1,2,5,3]
[4,5,2,1,6,3] => [4,1,2,5,3,6]
[4,5,2,3,1,6] => [6,4,2,5,1,3]
[4,5,2,3,6,1] => [4,2,5,3,1,6]
[4,5,2,6,1,3] => [4,2,5,1,6,3]
[4,5,2,6,3,1] => [4,2,5,1,3,6]
[4,5,3,1,2,6] => [6,4,1,3,5,2]
[4,5,3,1,6,2] => [4,1,3,5,2,6]
[4,5,3,2,1,6] => [6,4,1,2,3,5]
[4,5,3,2,6,1] => [4,2,3,5,1,6]
[4,5,3,6,1,2] => [4,3,5,1,6,2]
[4,5,3,6,2,1] => [4,3,5,1,2,6]
[4,5,6,1,2,3] => [5,4,1,6,3,2]
[4,5,6,1,3,2] => [5,4,1,6,2,3]
[4,5,6,2,1,3] => [5,4,1,2,6,3]
[4,5,6,2,3,1] => [5,4,2,6,1,3]
[4,5,6,3,1,2] => [5,4,1,3,6,2]
[4,5,6,3,2,1] => [5,4,1,2,3,6]
[4,6,1,2,3,5] => [4,1,6,5,3,2]
[4,6,1,2,5,3] => [4,1,6,3,5,2]
[4,6,1,3,2,5] => [4,1,6,5,2,3]
[4,6,1,3,5,2] => [4,1,6,3,2,5]
[4,6,1,5,2,3] => [4,1,6,2,5,3]
[4,6,1,5,3,2] => [4,1,6,2,3,5]
[4,6,2,1,3,5] => [4,1,2,6,5,3]
[4,6,2,1,5,3] => [4,1,2,6,3,5]
[4,6,2,3,1,5] => [4,2,6,5,1,3]
[4,6,2,3,5,1] => [4,2,6,3,1,5]
[4,6,2,5,1,3] => [4,2,6,1,5,3]
[4,6,2,5,3,1] => [4,2,6,1,3,5]
[4,6,3,1,2,5] => [4,1,3,6,5,2]
[4,6,3,1,5,2] => [4,1,3,6,2,5]
[4,6,3,2,1,5] => [4,1,2,3,6,5]
[4,6,3,2,5,1] => [4,2,3,6,1,5]
[4,6,3,5,1,2] => [4,3,6,1,5,2]
[4,6,3,5,2,1] => [4,3,6,1,2,5]
[4,6,5,1,2,3] => [4,1,5,6,3,2]
[4,6,5,1,3,2] => [4,1,5,6,2,3]
[4,6,5,2,1,3] => [4,1,2,5,6,3]
[4,6,5,2,3,1] => [4,2,5,6,1,3]
[4,6,5,3,1,2] => [4,1,3,5,6,2]
[4,6,5,3,2,1] => [4,1,2,3,5,6]
[5,1,2,3,4,6] => [6,1,5,4,3,2]
[5,1,2,3,6,4] => [1,5,4,6,3,2]
[5,1,2,4,3,6] => [6,1,5,3,4,2]
[5,1,2,4,6,3] => [1,5,4,3,6,2]
[5,1,2,6,3,4] => [1,5,3,6,4,2]
[5,1,2,6,4,3] => [1,5,3,4,6,2]
[5,1,3,2,4,6] => [6,1,5,4,2,3]
[5,1,3,2,6,4] => [1,5,4,6,2,3]
[5,1,3,4,2,6] => [6,1,5,3,2,4]
[5,1,3,4,6,2] => [1,5,4,3,2,6]
[5,1,3,6,2,4] => [1,5,3,2,6,4]
[5,1,3,6,4,2] => [1,5,3,2,4,6]
[5,1,4,2,3,6] => [6,1,5,2,4,3]
[5,1,4,2,6,3] => [1,5,2,4,3,6]
[5,1,4,3,2,6] => [6,1,5,2,3,4]
[5,1,4,3,6,2] => [1,5,3,4,2,6]
[5,1,4,6,2,3] => [1,5,4,2,6,3]
[5,1,4,6,3,2] => [1,5,4,2,3,6]
[5,1,6,2,3,4] => [1,5,2,6,4,3]
[5,1,6,2,4,3] => [1,5,2,6,3,4]
[5,1,6,3,2,4] => [1,5,2,3,6,4]
[5,1,6,3,4,2] => [1,5,3,6,2,4]
[5,1,6,4,2,3] => [1,5,2,4,6,3]
[5,1,6,4,3,2] => [1,5,2,3,4,6]
[5,2,1,3,4,6] => [6,1,2,5,4,3]
[5,2,1,3,6,4] => [1,2,5,4,6,3]
[5,2,1,4,3,6] => [6,1,2,5,3,4]
[5,2,1,4,6,3] => [1,2,5,4,3,6]
[5,2,1,6,3,4] => [1,2,5,3,6,4]
[5,2,1,6,4,3] => [1,2,5,3,4,6]
[5,2,3,1,4,6] => [6,2,5,4,1,3]
[5,2,3,1,6,4] => [2,5,4,6,1,3]
[5,2,3,4,1,6] => [6,2,5,3,1,4]
[5,2,3,4,6,1] => [2,5,4,3,1,6]
[5,2,3,6,1,4] => [2,5,3,1,6,4]
[5,2,3,6,4,1] => [2,5,3,1,4,6]
[5,2,4,1,3,6] => [6,2,5,1,4,3]
[5,2,4,1,6,3] => [2,5,1,4,3,6]
[5,2,4,3,1,6] => [6,2,5,1,3,4]
[5,2,4,3,6,1] => [2,5,3,4,1,6]
[5,2,4,6,1,3] => [2,5,4,1,6,3]
[5,2,4,6,3,1] => [2,5,4,1,3,6]
[5,2,6,1,3,4] => [2,5,1,6,4,3]
[5,2,6,1,4,3] => [2,5,1,6,3,4]
[5,2,6,3,1,4] => [2,5,1,3,6,4]
[5,2,6,3,4,1] => [2,5,3,6,1,4]
[5,2,6,4,1,3] => [2,5,1,4,6,3]
[5,2,6,4,3,1] => [2,5,1,3,4,6]
[5,3,1,2,4,6] => [6,1,3,5,4,2]
[5,3,1,2,6,4] => [1,3,5,4,6,2]
[5,3,1,4,2,6] => [6,1,3,5,2,4]
[5,3,1,4,6,2] => [1,3,5,4,2,6]
[5,3,1,6,2,4] => [1,3,5,2,6,4]
[5,3,1,6,4,2] => [1,3,5,2,4,6]
[5,3,2,1,4,6] => [6,1,2,3,5,4]
[5,3,2,1,6,4] => [1,2,3,5,4,6]
[5,3,2,4,1,6] => [6,2,3,5,1,4]
[5,3,2,4,6,1] => [2,3,5,4,1,6]
[5,3,2,6,1,4] => [2,3,5,1,6,4]
[5,3,2,6,4,1] => [2,3,5,1,4,6]
[5,3,4,1,2,6] => [6,3,5,1,4,2]
[5,3,4,1,6,2] => [3,5,1,4,2,6]
[5,3,4,2,1,6] => [6,3,5,1,2,4]
[5,3,4,2,6,1] => [3,5,2,4,1,6]
[5,3,4,6,1,2] => [3,5,4,1,6,2]
[5,3,4,6,2,1] => [3,5,4,1,2,6]
[5,3,6,1,2,4] => [3,5,1,6,4,2]
[5,3,6,1,4,2] => [3,5,1,6,2,4]
[5,3,6,2,1,4] => [3,5,1,2,6,4]
[5,3,6,2,4,1] => [3,5,2,6,1,4]
[5,3,6,4,1,2] => [3,5,1,4,6,2]
[5,3,6,4,2,1] => [3,5,1,2,4,6]
[5,4,1,2,3,6] => [6,1,4,5,3,2]
[5,4,1,2,6,3] => [1,4,5,3,6,2]
[5,4,1,3,2,6] => [6,1,4,5,2,3]
[5,4,1,3,6,2] => [1,4,5,3,2,6]
[5,4,1,6,2,3] => [1,4,5,2,6,3]
[5,4,1,6,3,2] => [1,4,5,2,3,6]
[5,4,2,1,3,6] => [6,1,2,4,5,3]
[5,4,2,1,6,3] => [1,2,4,5,3,6]
[5,4,2,3,1,6] => [6,2,4,5,1,3]
[5,4,2,3,6,1] => [2,4,5,3,1,6]
[5,4,2,6,1,3] => [2,4,5,1,6,3]
[5,4,2,6,3,1] => [2,4,5,1,3,6]
[5,4,3,1,2,6] => [6,1,3,4,5,2]
[5,4,3,1,6,2] => [1,3,4,5,2,6]
[5,4,3,2,1,6] => [6,1,2,3,4,5]
[5,4,3,2,6,1] => [2,3,4,5,1,6]
[5,4,3,6,1,2] => [3,4,5,1,6,2]
[5,4,3,6,2,1] => [3,4,5,1,2,6]
[5,4,6,1,2,3] => [4,5,1,6,3,2]
[5,4,6,1,3,2] => [4,5,1,6,2,3]
[5,4,6,2,1,3] => [4,5,1,2,6,3]
[5,4,6,2,3,1] => [4,5,2,6,1,3]
[5,4,6,3,1,2] => [4,5,1,3,6,2]
[5,4,6,3,2,1] => [4,5,1,2,3,6]
[5,6,1,2,3,4] => [5,1,6,4,3,2]
[5,6,1,2,4,3] => [5,1,6,3,4,2]
[5,6,1,3,2,4] => [5,1,6,4,2,3]
[5,6,1,3,4,2] => [5,1,6,3,2,4]
[5,6,1,4,2,3] => [5,1,6,2,4,3]
[5,6,1,4,3,2] => [5,1,6,2,3,4]
[5,6,2,1,3,4] => [5,1,2,6,4,3]
[5,6,2,1,4,3] => [5,1,2,6,3,4]
[5,6,2,3,1,4] => [5,2,6,4,1,3]
[5,6,2,3,4,1] => [5,2,6,3,1,4]
[5,6,2,4,1,3] => [5,2,6,1,4,3]
[5,6,2,4,3,1] => [5,2,6,1,3,4]
[5,6,3,1,2,4] => [5,1,3,6,4,2]
[5,6,3,1,4,2] => [5,1,3,6,2,4]
[5,6,3,2,1,4] => [5,1,2,3,6,4]
[5,6,3,2,4,1] => [5,2,3,6,1,4]
[5,6,3,4,1,2] => [5,3,6,1,4,2]
[5,6,3,4,2,1] => [5,3,6,1,2,4]
[5,6,4,1,2,3] => [5,1,4,6,3,2]
[5,6,4,1,3,2] => [5,1,4,6,2,3]
[5,6,4,2,1,3] => [5,1,2,4,6,3]
[5,6,4,2,3,1] => [5,2,4,6,1,3]
[5,6,4,3,1,2] => [5,1,3,4,6,2]
[5,6,4,3,2,1] => [5,1,2,3,4,6]
[6,1,2,3,4,5] => [1,6,5,4,3,2]
[6,1,2,3,5,4] => [1,6,4,5,3,2]
[6,1,2,4,3,5] => [1,6,5,3,4,2]
[6,1,2,4,5,3] => [1,6,4,3,5,2]
[6,1,2,5,3,4] => [1,6,3,5,4,2]
[6,1,2,5,4,3] => [1,6,3,4,5,2]
[6,1,3,2,4,5] => [1,6,5,4,2,3]
[6,1,3,2,5,4] => [1,6,4,5,2,3]
[6,1,3,4,2,5] => [1,6,5,3,2,4]
[6,1,3,4,5,2] => [1,6,4,3,2,5]
[6,1,3,5,2,4] => [1,6,3,2,5,4]
[6,1,3,5,4,2] => [1,6,3,2,4,5]
[6,1,4,2,3,5] => [1,6,5,2,4,3]
[6,1,4,2,5,3] => [1,6,2,4,3,5]
[6,1,4,3,2,5] => [1,6,5,2,3,4]
[6,1,4,3,5,2] => [1,6,3,4,2,5]
[6,1,4,5,2,3] => [1,6,4,2,5,3]
[6,1,4,5,3,2] => [1,6,4,2,3,5]
[6,1,5,2,3,4] => [1,6,2,5,4,3]
[6,1,5,2,4,3] => [1,6,2,5,3,4]
[6,1,5,3,2,4] => [1,6,2,3,5,4]
[6,1,5,3,4,2] => [1,6,3,5,2,4]
[6,1,5,4,2,3] => [1,6,2,4,5,3]
[6,1,5,4,3,2] => [1,6,2,3,4,5]
[6,2,1,3,4,5] => [1,2,6,5,4,3]
[6,2,1,3,5,4] => [1,2,6,4,5,3]
[6,2,1,4,3,5] => [1,2,6,5,3,4]
[6,2,1,4,5,3] => [1,2,6,4,3,5]
[6,2,1,5,3,4] => [1,2,6,3,5,4]
[6,2,1,5,4,3] => [1,2,6,3,4,5]
[6,2,3,1,4,5] => [2,6,5,4,1,3]
[6,2,3,1,5,4] => [2,6,4,5,1,3]
[6,2,3,4,1,5] => [2,6,5,3,1,4]
[6,2,3,4,5,1] => [2,6,4,3,1,5]
[6,2,3,5,1,4] => [2,6,3,1,5,4]
[6,2,3,5,4,1] => [2,6,3,1,4,5]
[6,2,4,1,3,5] => [2,6,5,1,4,3]
[6,2,4,1,5,3] => [2,6,1,4,3,5]
[6,2,4,3,1,5] => [2,6,5,1,3,4]
[6,2,4,3,5,1] => [2,6,3,4,1,5]
[6,2,4,5,1,3] => [2,6,4,1,5,3]
[6,2,4,5,3,1] => [2,6,4,1,3,5]
[6,2,5,1,3,4] => [2,6,1,5,4,3]
[6,2,5,1,4,3] => [2,6,1,5,3,4]
[6,2,5,3,1,4] => [2,6,1,3,5,4]
[6,2,5,3,4,1] => [2,6,3,5,1,4]
[6,2,5,4,1,3] => [2,6,1,4,5,3]
[6,2,5,4,3,1] => [2,6,1,3,4,5]
[6,3,1,2,4,5] => [1,3,6,5,4,2]
[6,3,1,2,5,4] => [1,3,6,4,5,2]
[6,3,1,4,2,5] => [1,3,6,5,2,4]
[6,3,1,4,5,2] => [1,3,6,4,2,5]
[6,3,1,5,2,4] => [1,3,6,2,5,4]
[6,3,1,5,4,2] => [1,3,6,2,4,5]
[6,3,2,1,4,5] => [1,2,3,6,5,4]
[6,3,2,1,5,4] => [1,2,3,6,4,5]
[6,3,2,4,1,5] => [2,3,6,5,1,4]
[6,3,2,4,5,1] => [2,3,6,4,1,5]
[6,3,2,5,1,4] => [2,3,6,1,5,4]
[6,3,2,5,4,1] => [2,3,6,1,4,5]
[6,3,4,1,2,5] => [3,6,5,1,4,2]
[6,3,4,1,5,2] => [3,6,1,4,2,5]
[6,3,4,2,1,5] => [3,6,5,1,2,4]
[6,3,4,2,5,1] => [3,6,2,4,1,5]
[6,3,4,5,1,2] => [3,6,4,1,5,2]
[6,3,4,5,2,1] => [3,6,4,1,2,5]
[6,3,5,1,2,4] => [3,6,1,5,4,2]
[6,3,5,1,4,2] => [3,6,1,5,2,4]
[6,3,5,2,1,4] => [3,6,1,2,5,4]
[6,3,5,2,4,1] => [3,6,2,5,1,4]
[6,3,5,4,1,2] => [3,6,1,4,5,2]
[6,3,5,4,2,1] => [3,6,1,2,4,5]
[6,4,1,2,3,5] => [1,4,6,5,3,2]
[6,4,1,2,5,3] => [1,4,6,3,5,2]
[6,4,1,3,2,5] => [1,4,6,5,2,3]
[6,4,1,3,5,2] => [1,4,6,3,2,5]
[6,4,1,5,2,3] => [1,4,6,2,5,3]
[6,4,1,5,3,2] => [1,4,6,2,3,5]
[6,4,2,1,3,5] => [1,2,4,6,5,3]
[6,4,2,1,5,3] => [1,2,4,6,3,5]
[6,4,2,3,1,5] => [2,4,6,5,1,3]
[6,4,2,3,5,1] => [2,4,6,3,1,5]
[6,4,2,5,1,3] => [2,4,6,1,5,3]
[6,4,2,5,3,1] => [2,4,6,1,3,5]
[6,4,3,1,2,5] => [1,3,4,6,5,2]
[6,4,3,1,5,2] => [1,3,4,6,2,5]
[6,4,3,2,1,5] => [1,2,3,4,6,5]
[6,4,3,2,5,1] => [2,3,4,6,1,5]
[6,4,3,5,1,2] => [3,4,6,1,5,2]
[6,4,3,5,2,1] => [3,4,6,1,2,5]
[6,4,5,1,2,3] => [4,6,1,5,3,2]
[6,4,5,1,3,2] => [4,6,1,5,2,3]
[6,4,5,2,1,3] => [4,6,1,2,5,3]
[6,4,5,2,3,1] => [4,6,2,5,1,3]
[6,4,5,3,1,2] => [4,6,1,3,5,2]
[6,4,5,3,2,1] => [4,6,1,2,3,5]
[6,5,1,2,3,4] => [1,5,6,4,3,2]
[6,5,1,2,4,3] => [1,5,6,3,4,2]
[6,5,1,3,2,4] => [1,5,6,4,2,3]
[6,5,1,3,4,2] => [1,5,6,3,2,4]
[6,5,1,4,2,3] => [1,5,6,2,4,3]
[6,5,1,4,3,2] => [1,5,6,2,3,4]
[6,5,2,1,3,4] => [1,2,5,6,4,3]
[6,5,2,1,4,3] => [1,2,5,6,3,4]
[6,5,2,3,1,4] => [2,5,6,4,1,3]
[6,5,2,3,4,1] => [2,5,6,3,1,4]
[6,5,2,4,1,3] => [2,5,6,1,4,3]
[6,5,2,4,3,1] => [2,5,6,1,3,4]
[6,5,3,1,2,4] => [1,3,5,6,4,2]
[6,5,3,1,4,2] => [1,3,5,6,2,4]
[6,5,3,2,1,4] => [1,2,3,5,6,4]
[6,5,3,2,4,1] => [2,3,5,6,1,4]
[6,5,3,4,1,2] => [3,5,6,1,4,2]
[6,5,3,4,2,1] => [3,5,6,1,2,4]
[6,5,4,1,2,3] => [1,4,5,6,3,2]
[6,5,4,1,3,2] => [1,4,5,6,2,3]
[6,5,4,2,1,3] => [1,2,4,5,6,3]
[6,5,4,2,3,1] => [2,4,5,6,1,3]
[6,5,4,3,1,2] => [1,3,4,5,6,2]
[6,5,4,3,2,1] => [1,2,3,4,5,6]
[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1]
[1,2,3,4,5,7,6] => [6,7,5,4,3,2,1]
[1,2,3,4,6,5,7] => [7,5,6,4,3,2,1]
[1,2,3,4,6,7,5] => [6,5,7,4,3,2,1]
[1,2,3,4,7,5,6] => [5,7,6,4,3,2,1]
[1,2,3,4,7,6,5] => [5,6,7,4,3,2,1]
[1,2,3,5,4,6,7] => [7,6,4,5,3,2,1]
[1,2,3,5,4,7,6] => [6,7,4,5,3,2,1]
[1,2,3,5,6,4,7] => [7,5,4,6,3,2,1]
[1,2,3,5,6,7,4] => [6,5,4,7,3,2,1]
[1,2,3,5,7,4,6] => [5,4,7,6,3,2,1]
[1,2,3,5,7,6,4] => [5,4,6,7,3,2,1]
[1,2,3,6,4,5,7] => [7,4,6,5,3,2,1]
[1,2,3,6,4,7,5] => [4,6,5,7,3,2,1]
[1,2,3,6,5,4,7] => [7,4,5,6,3,2,1]
[1,2,3,6,5,7,4] => [5,6,4,7,3,2,1]
[1,2,3,6,7,4,5] => [6,4,7,5,3,2,1]
[1,2,3,6,7,5,4] => [6,4,5,7,3,2,1]
[1,2,3,7,4,5,6] => [4,7,6,5,3,2,1]
[1,2,3,7,4,6,5] => [4,7,5,6,3,2,1]
[1,2,3,7,5,4,6] => [4,5,7,6,3,2,1]
[1,2,3,7,5,6,4] => [5,7,4,6,3,2,1]
[1,2,3,7,6,4,5] => [4,6,7,5,3,2,1]
[1,2,3,7,6,5,4] => [4,5,6,7,3,2,1]
[1,2,4,3,5,6,7] => [7,6,5,3,4,2,1]
[1,2,4,3,5,7,6] => [6,7,5,3,4,2,1]
[1,2,4,3,6,5,7] => [7,5,6,3,4,2,1]
[1,2,4,3,6,7,5] => [6,5,7,3,4,2,1]
[1,2,4,3,7,5,6] => [5,7,6,3,4,2,1]
[1,2,4,3,7,6,5] => [5,6,7,3,4,2,1]
[1,2,4,5,3,6,7] => [7,6,4,3,5,2,1]
[1,2,4,5,3,7,6] => [6,7,4,3,5,2,1]
[1,2,4,5,6,3,7] => [7,5,4,3,6,2,1]
[1,2,4,5,6,7,3] => [6,5,4,3,7,2,1]
[1,2,4,5,7,3,6] => [5,4,3,7,6,2,1]
[1,2,4,5,7,6,3] => [5,4,3,6,7,2,1]
[1,2,4,6,3,5,7] => [7,4,3,6,5,2,1]
[1,2,4,6,3,7,5] => [4,3,6,5,7,2,1]
[1,2,4,6,5,3,7] => [7,4,3,5,6,2,1]
[1,2,4,6,5,7,3] => [5,6,4,3,7,2,1]
[1,2,4,6,7,3,5] => [6,4,3,7,5,2,1]
[1,2,4,6,7,5,3] => [6,4,3,5,7,2,1]
[1,2,4,7,3,5,6] => [4,3,7,6,5,2,1]
[1,2,4,7,3,6,5] => [4,3,7,5,6,2,1]
[1,2,4,7,5,3,6] => [4,3,5,7,6,2,1]
[1,2,4,7,5,6,3] => [5,7,4,3,6,2,1]
[1,2,4,7,6,3,5] => [4,3,6,7,5,2,1]
[1,2,4,7,6,5,3] => [4,3,5,6,7,2,1]
[1,2,5,3,4,6,7] => [7,6,3,5,4,2,1]
[1,2,5,3,4,7,6] => [6,7,3,5,4,2,1]
[1,2,5,3,6,4,7] => [7,3,5,4,6,2,1]
[1,2,5,3,6,7,4] => [6,3,5,4,7,2,1]
[1,2,5,3,7,4,6] => [3,5,4,7,6,2,1]
[1,2,5,3,7,6,4] => [3,5,4,6,7,2,1]
[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1]
[1,2,5,4,3,7,6] => [6,7,3,4,5,2,1]
[1,2,5,4,6,3,7] => [7,4,5,3,6,2,1]
[1,2,5,4,6,7,3] => [6,4,5,3,7,2,1]
[1,2,5,4,7,3,6] => [4,5,3,7,6,2,1]
[1,2,5,4,7,6,3] => [4,5,3,6,7,2,1]
[1,2,5,6,3,4,7] => [7,5,3,6,4,2,1]
[1,2,5,6,3,7,4] => [5,3,6,4,7,2,1]
[1,2,5,6,4,3,7] => [7,5,3,4,6,2,1]
[1,2,5,6,4,7,3] => [5,4,6,3,7,2,1]
[1,2,5,6,7,3,4] => [6,5,3,7,4,2,1]
[1,2,5,6,7,4,3] => [6,5,3,4,7,2,1]
[1,2,5,7,3,4,6] => [5,3,7,6,4,2,1]
[1,2,5,7,3,6,4] => [5,3,7,4,6,2,1]
[1,2,5,7,4,3,6] => [5,3,4,7,6,2,1]
[1,2,5,7,4,6,3] => [5,4,7,3,6,2,1]
[1,2,5,7,6,3,4] => [5,3,6,7,4,2,1]
[1,2,5,7,6,4,3] => [5,3,4,6,7,2,1]
[1,2,6,3,4,5,7] => [7,3,6,5,4,2,1]
[1,2,6,3,4,7,5] => [3,6,5,7,4,2,1]
[1,2,6,3,5,4,7] => [7,3,6,4,5,2,1]
[1,2,6,3,5,7,4] => [3,6,5,4,7,2,1]
[1,2,6,3,7,4,5] => [3,6,4,7,5,2,1]
[1,2,6,3,7,5,4] => [3,6,4,5,7,2,1]
[1,2,6,4,3,5,7] => [7,3,4,6,5,2,1]
[1,2,6,4,3,7,5] => [3,4,6,5,7,2,1]
[1,2,6,4,5,3,7] => [7,4,6,3,5,2,1]
[1,2,6,4,5,7,3] => [4,6,5,3,7,2,1]
[1,2,6,4,7,3,5] => [4,6,3,7,5,2,1]
[1,2,6,4,7,5,3] => [4,6,3,5,7,2,1]
[1,2,6,5,3,4,7] => [7,3,5,6,4,2,1]
[1,2,6,5,3,7,4] => [3,5,6,4,7,2,1]
[1,2,6,5,4,3,7] => [7,3,4,5,6,2,1]
[1,2,6,5,4,7,3] => [4,5,6,3,7,2,1]
[1,2,6,5,7,3,4] => [5,6,3,7,4,2,1]
[1,2,6,5,7,4,3] => [5,6,3,4,7,2,1]
[1,2,6,7,3,4,5] => [6,3,7,5,4,2,1]
[1,2,6,7,3,5,4] => [6,3,7,4,5,2,1]
[1,2,6,7,4,3,5] => [6,3,4,7,5,2,1]
[1,2,6,7,4,5,3] => [6,4,7,3,5,2,1]
[1,2,6,7,5,3,4] => [6,3,5,7,4,2,1]
[1,2,6,7,5,4,3] => [6,3,4,5,7,2,1]
[1,2,7,3,4,5,6] => [3,7,6,5,4,2,1]
[1,2,7,3,4,6,5] => [3,7,5,6,4,2,1]
[1,2,7,3,5,4,6] => [3,7,6,4,5,2,1]
[1,2,7,3,5,6,4] => [3,7,5,4,6,2,1]
[1,2,7,3,6,4,5] => [3,7,4,6,5,2,1]
[1,2,7,3,6,5,4] => [3,7,4,5,6,2,1]
[1,2,7,4,3,5,6] => [3,4,7,6,5,2,1]
[1,2,7,4,3,6,5] => [3,4,7,5,6,2,1]
[1,2,7,4,5,3,6] => [4,7,6,3,5,2,1]
[1,2,7,4,5,6,3] => [4,7,5,3,6,2,1]
[1,2,7,4,6,3,5] => [4,7,3,6,5,2,1]
[1,2,7,4,6,5,3] => [4,7,3,5,6,2,1]
[1,2,7,5,3,4,6] => [3,5,7,6,4,2,1]
[1,2,7,5,3,6,4] => [3,5,7,4,6,2,1]
[1,2,7,5,4,3,6] => [3,4,5,7,6,2,1]
[1,2,7,5,4,6,3] => [4,5,7,3,6,2,1]
[1,2,7,5,6,3,4] => [5,7,3,6,4,2,1]
[1,2,7,5,6,4,3] => [5,7,3,4,6,2,1]
[1,2,7,6,3,4,5] => [3,6,7,5,4,2,1]
[1,2,7,6,3,5,4] => [3,6,7,4,5,2,1]
[1,2,7,6,4,3,5] => [3,4,6,7,5,2,1]
[1,2,7,6,4,5,3] => [4,6,7,3,5,2,1]
[1,2,7,6,5,3,4] => [3,5,6,7,4,2,1]
[1,2,7,6,5,4,3] => [3,4,5,6,7,2,1]
[1,3,2,4,5,6,7] => [7,6,5,4,2,3,1]
[1,3,2,4,5,7,6] => [6,7,5,4,2,3,1]
[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1]
[1,3,2,4,6,7,5] => [6,5,7,4,2,3,1]
[1,3,2,4,7,5,6] => [5,7,6,4,2,3,1]
[1,3,2,4,7,6,5] => [5,6,7,4,2,3,1]
[1,3,2,5,4,6,7] => [7,6,4,5,2,3,1]
[1,3,2,5,4,7,6] => [6,7,4,5,2,3,1]
[1,3,2,5,6,4,7] => [7,5,4,6,2,3,1]
[1,3,2,5,6,7,4] => [6,5,4,7,2,3,1]
[1,3,2,5,7,4,6] => [5,4,7,6,2,3,1]
[1,3,2,5,7,6,4] => [5,4,6,7,2,3,1]
[1,3,2,6,4,5,7] => [7,4,6,5,2,3,1]
[1,3,2,6,4,7,5] => [4,6,5,7,2,3,1]
[1,3,2,6,5,4,7] => [7,4,5,6,2,3,1]
[1,3,2,6,5,7,4] => [5,6,4,7,2,3,1]
[1,3,2,6,7,4,5] => [6,4,7,5,2,3,1]
[1,3,2,6,7,5,4] => [6,4,5,7,2,3,1]
[1,3,2,7,4,5,6] => [4,7,6,5,2,3,1]
[1,3,2,7,4,6,5] => [4,7,5,6,2,3,1]
[1,3,2,7,5,4,6] => [4,5,7,6,2,3,1]
[1,3,2,7,5,6,4] => [5,7,4,6,2,3,1]
[1,3,2,7,6,4,5] => [4,6,7,5,2,3,1]
[1,3,2,7,6,5,4] => [4,5,6,7,2,3,1]
[1,3,4,2,5,6,7] => [7,6,5,3,2,4,1]
[1,3,4,2,5,7,6] => [6,7,5,3,2,4,1]
[1,3,4,2,6,5,7] => [7,5,6,3,2,4,1]
[1,3,4,2,6,7,5] => [6,5,7,3,2,4,1]
[1,3,4,2,7,5,6] => [5,7,6,3,2,4,1]
[1,3,4,2,7,6,5] => [5,6,7,3,2,4,1]
[1,3,4,5,2,6,7] => [7,6,4,3,2,5,1]
[1,3,4,5,2,7,6] => [6,7,4,3,2,5,1]
[1,3,4,5,6,2,7] => [7,5,4,3,2,6,1]
[1,3,4,5,6,7,2] => [6,5,4,3,2,7,1]
[1,3,4,5,7,2,6] => [5,4,3,2,7,6,1]
[1,3,4,5,7,6,2] => [5,4,3,2,6,7,1]
[1,3,4,6,2,5,7] => [7,4,3,2,6,5,1]
[1,3,4,6,2,7,5] => [4,3,2,6,5,7,1]
[1,3,4,6,5,2,7] => [7,4,3,2,5,6,1]
[1,3,4,6,5,7,2] => [5,6,4,3,2,7,1]
[1,3,4,6,7,2,5] => [6,4,3,2,7,5,1]
[1,3,4,6,7,5,2] => [6,4,3,2,5,7,1]
[1,3,4,7,2,5,6] => [4,3,2,7,6,5,1]
[1,3,4,7,2,6,5] => [4,3,2,7,5,6,1]
[1,3,4,7,5,2,6] => [4,3,2,5,7,6,1]
[1,3,4,7,5,6,2] => [5,7,4,3,2,6,1]
[1,3,4,7,6,2,5] => [4,3,2,6,7,5,1]
[1,3,4,7,6,5,2] => [4,3,2,5,6,7,1]
[1,3,5,2,4,6,7] => [7,6,3,2,5,4,1]
[1,3,5,2,4,7,6] => [6,7,3,2,5,4,1]
[1,3,5,2,6,4,7] => [7,3,2,5,4,6,1]
[1,3,5,2,6,7,4] => [6,3,2,5,4,7,1]
[1,3,5,2,7,4,6] => [3,2,5,4,7,6,1]
[1,3,5,2,7,6,4] => [3,2,5,4,6,7,1]
[1,3,5,4,2,6,7] => [7,6,3,2,4,5,1]
[1,3,5,4,2,7,6] => [6,7,3,2,4,5,1]
[1,3,5,4,6,2,7] => [7,4,5,3,2,6,1]
[1,3,5,4,6,7,2] => [6,4,5,3,2,7,1]
[1,3,5,4,7,2,6] => [4,5,3,2,7,6,1]
[1,3,5,4,7,6,2] => [4,5,3,2,6,7,1]
[1,3,5,6,2,4,7] => [7,5,3,2,6,4,1]
[1,3,5,6,2,7,4] => [5,3,2,6,4,7,1]
[1,3,5,6,4,2,7] => [7,5,3,2,4,6,1]
[1,3,5,6,4,7,2] => [5,4,6,3,2,7,1]
[1,3,5,6,7,2,4] => [6,5,3,2,7,4,1]
[1,3,5,6,7,4,2] => [6,5,3,2,4,7,1]
[1,3,5,7,2,4,6] => [5,3,2,7,6,4,1]
[1,3,5,7,2,6,4] => [5,3,2,7,4,6,1]
[1,3,5,7,4,2,6] => [5,3,2,4,7,6,1]
[1,3,5,7,4,6,2] => [5,4,7,3,2,6,1]
[1,3,5,7,6,2,4] => [5,3,2,6,7,4,1]
[1,3,5,7,6,4,2] => [5,3,2,4,6,7,1]
[1,3,6,2,4,5,7] => [7,3,2,6,5,4,1]
[1,3,6,2,4,7,5] => [3,2,6,5,7,4,1]
[1,3,6,2,5,4,7] => [7,3,2,6,4,5,1]
[1,3,6,2,5,7,4] => [3,2,6,5,4,7,1]
[1,3,6,2,7,4,5] => [3,2,6,4,7,5,1]
[1,3,6,2,7,5,4] => [3,2,6,4,5,7,1]
[1,3,6,4,2,5,7] => [7,3,2,4,6,5,1]
[1,3,6,4,2,7,5] => [3,2,4,6,5,7,1]
[1,3,6,4,5,2,7] => [7,4,6,3,2,5,1]
[1,3,6,4,5,7,2] => [4,6,5,3,2,7,1]
[1,3,6,4,7,2,5] => [4,6,3,2,7,5,1]
[1,3,6,4,7,5,2] => [4,6,3,2,5,7,1]
[1,3,6,5,2,4,7] => [7,3,2,5,6,4,1]
[1,3,6,5,2,7,4] => [3,2,5,6,4,7,1]
[1,3,6,5,4,2,7] => [7,3,2,4,5,6,1]
[1,3,6,5,4,7,2] => [4,5,6,3,2,7,1]
[1,3,6,5,7,2,4] => [5,6,3,2,7,4,1]
[1,3,6,5,7,4,2] => [5,6,3,2,4,7,1]
[1,3,6,7,2,4,5] => [6,3,2,7,5,4,1]
[1,3,6,7,2,5,4] => [6,3,2,7,4,5,1]
[1,3,6,7,4,2,5] => [6,3,2,4,7,5,1]
[1,3,6,7,4,5,2] => [6,4,7,3,2,5,1]
[1,3,6,7,5,2,4] => [6,3,2,5,7,4,1]
[1,3,6,7,5,4,2] => [6,3,2,4,5,7,1]
[1,3,7,2,4,5,6] => [3,2,7,6,5,4,1]
[1,3,7,2,4,6,5] => [3,2,7,5,6,4,1]
[1,3,7,2,5,4,6] => [3,2,7,6,4,5,1]
[1,3,7,2,5,6,4] => [3,2,7,5,4,6,1]
[1,3,7,2,6,4,5] => [3,2,7,4,6,5,1]
[1,3,7,2,6,5,4] => [3,2,7,4,5,6,1]
[1,3,7,4,2,5,6] => [3,2,4,7,6,5,1]
[1,3,7,4,2,6,5] => [3,2,4,7,5,6,1]
[1,3,7,4,5,2,6] => [4,7,6,3,2,5,1]
[1,3,7,4,5,6,2] => [4,7,5,3,2,6,1]
[1,3,7,4,6,2,5] => [4,7,3,2,6,5,1]
[1,3,7,4,6,5,2] => [4,7,3,2,5,6,1]
[1,3,7,5,2,4,6] => [3,2,5,7,6,4,1]
[1,3,7,5,2,6,4] => [3,2,5,7,4,6,1]
[1,3,7,5,4,2,6] => [3,2,4,5,7,6,1]
[1,3,7,5,4,6,2] => [4,5,7,3,2,6,1]
[1,3,7,5,6,2,4] => [5,7,3,2,6,4,1]
[1,3,7,5,6,4,2] => [5,7,3,2,4,6,1]
[1,3,7,6,2,4,5] => [3,2,6,7,5,4,1]
[1,3,7,6,2,5,4] => [3,2,6,7,4,5,1]
[1,3,7,6,4,2,5] => [3,2,4,6,7,5,1]
[1,3,7,6,4,5,2] => [4,6,7,3,2,5,1]
[1,3,7,6,5,2,4] => [3,2,5,6,7,4,1]
[1,3,7,6,5,4,2] => [3,2,4,5,6,7,1]
[1,4,2,3,5,6,7] => [7,6,5,2,4,3,1]
[1,4,2,3,5,7,6] => [6,7,5,2,4,3,1]
[1,4,2,3,6,5,7] => [7,5,6,2,4,3,1]
[1,4,2,3,6,7,5] => [6,5,7,2,4,3,1]
[1,4,2,3,7,5,6] => [5,7,6,2,4,3,1]
[1,4,2,3,7,6,5] => [5,6,7,2,4,3,1]
[1,4,2,5,3,6,7] => [7,6,2,4,3,5,1]
[1,4,2,5,3,7,6] => [6,7,2,4,3,5,1]
[1,4,2,5,6,3,7] => [7,5,2,4,3,6,1]
[1,4,2,5,6,7,3] => [6,5,2,4,3,7,1]
[1,4,2,5,7,3,6] => [5,2,4,3,7,6,1]
[1,4,2,5,7,6,3] => [5,2,4,3,6,7,1]
[1,4,2,6,3,5,7] => [7,2,4,3,6,5,1]
[1,4,2,6,3,7,5] => [2,4,3,6,5,7,1]
[1,4,2,6,5,3,7] => [7,2,4,3,5,6,1]
[1,4,2,6,5,7,3] => [5,6,2,4,3,7,1]
[1,4,2,6,7,3,5] => [6,2,4,3,7,5,1]
[1,4,2,6,7,5,3] => [6,2,4,3,5,7,1]
[1,4,2,7,3,5,6] => [2,4,3,7,6,5,1]
[1,4,2,7,3,6,5] => [2,4,3,7,5,6,1]
[1,4,2,7,5,3,6] => [2,4,3,5,7,6,1]
[1,4,2,7,5,6,3] => [5,7,2,4,3,6,1]
[1,4,2,7,6,3,5] => [2,4,3,6,7,5,1]
[1,4,2,7,6,5,3] => [2,4,3,5,6,7,1]
[1,4,3,2,5,6,7] => [7,6,5,2,3,4,1]
[1,4,3,2,5,7,6] => [6,7,5,2,3,4,1]
[1,4,3,2,6,5,7] => [7,5,6,2,3,4,1]
[1,4,3,2,6,7,5] => [6,5,7,2,3,4,1]
[1,4,3,2,7,5,6] => [5,7,6,2,3,4,1]
[1,4,3,2,7,6,5] => [5,6,7,2,3,4,1]
[1,4,3,5,2,6,7] => [7,6,3,4,2,5,1]
[1,4,3,5,2,7,6] => [6,7,3,4,2,5,1]
[1,4,3,5,6,2,7] => [7,5,3,4,2,6,1]
[1,4,3,5,6,7,2] => [6,5,3,4,2,7,1]
[1,4,3,5,7,2,6] => [5,3,4,2,7,6,1]
[1,4,3,5,7,6,2] => [5,3,4,2,6,7,1]
[1,4,3,6,2,5,7] => [7,3,4,2,6,5,1]
[1,4,3,6,2,7,5] => [3,4,2,6,5,7,1]
[1,4,3,6,5,2,7] => [7,3,4,2,5,6,1]
[1,4,3,6,5,7,2] => [5,6,3,4,2,7,1]
[1,4,3,6,7,2,5] => [6,3,4,2,7,5,1]
[1,4,3,6,7,5,2] => [6,3,4,2,5,7,1]
[1,4,3,7,2,5,6] => [3,4,2,7,6,5,1]
[1,4,3,7,2,6,5] => [3,4,2,7,5,6,1]
[1,4,3,7,5,2,6] => [3,4,2,5,7,6,1]
[1,4,3,7,5,6,2] => [5,7,3,4,2,6,1]
[1,4,3,7,6,2,5] => [3,4,2,6,7,5,1]
[1,4,3,7,6,5,2] => [3,4,2,5,6,7,1]
[1,4,5,2,3,6,7] => [7,6,4,2,5,3,1]
[1,4,5,2,3,7,6] => [6,7,4,2,5,3,1]
[1,4,5,2,6,3,7] => [7,4,2,5,3,6,1]
[1,4,5,2,6,7,3] => [6,4,2,5,3,7,1]
[1,4,5,2,7,3,6] => [4,2,5,3,7,6,1]
[1,4,5,2,7,6,3] => [4,2,5,3,6,7,1]
[1,4,5,3,2,6,7] => [7,6,4,2,3,5,1]
[1,4,5,3,2,7,6] => [6,7,4,2,3,5,1]
[1,4,5,3,6,2,7] => [7,4,3,5,2,6,1]
[1,4,5,3,6,7,2] => [6,4,3,5,2,7,1]
[1,4,5,3,7,2,6] => [4,3,5,2,7,6,1]
[1,4,5,3,7,6,2] => [4,3,5,2,6,7,1]
[1,4,5,6,2,3,7] => [7,5,4,2,6,3,1]
[1,4,5,6,2,7,3] => [5,4,2,6,3,7,1]
[1,4,5,6,3,2,7] => [7,5,4,2,3,6,1]
[1,4,5,6,3,7,2] => [5,4,3,6,2,7,1]
[1,4,5,6,7,2,3] => [6,5,4,2,7,3,1]
[1,4,5,6,7,3,2] => [6,5,4,2,3,7,1]
[1,4,5,7,2,3,6] => [5,4,2,7,6,3,1]
[1,4,5,7,2,6,3] => [5,4,2,7,3,6,1]
[1,4,5,7,3,2,6] => [5,4,2,3,7,6,1]
[1,4,5,7,3,6,2] => [5,4,3,7,2,6,1]
[1,4,5,7,6,2,3] => [5,4,2,6,7,3,1]
[1,4,5,7,6,3,2] => [5,4,2,3,6,7,1]
[1,4,6,2,3,5,7] => [7,4,2,6,5,3,1]
[1,4,6,2,3,7,5] => [4,2,6,5,7,3,1]
[1,4,6,2,5,3,7] => [7,4,2,6,3,5,1]
[1,4,6,2,5,7,3] => [4,2,6,5,3,7,1]
[1,4,6,2,7,3,5] => [4,2,6,3,7,5,1]
[1,4,6,2,7,5,3] => [4,2,6,3,5,7,1]
[1,4,6,3,2,5,7] => [7,4,2,3,6,5,1]
[1,4,6,3,2,7,5] => [4,2,3,6,5,7,1]
[1,4,6,3,5,2,7] => [7,4,3,6,2,5,1]
[1,4,6,3,5,7,2] => [4,3,6,5,2,7,1]
[1,4,6,3,7,2,5] => [4,3,6,2,7,5,1]
[1,4,6,3,7,5,2] => [4,3,6,2,5,7,1]
[1,4,6,5,2,3,7] => [7,4,2,5,6,3,1]
[1,4,6,5,2,7,3] => [4,2,5,6,3,7,1]
[1,4,6,5,3,2,7] => [7,4,2,3,5,6,1]
-----------------------------------------------------------------------------
Created: Jan 29, 2025 at 16:50 by Martin Rubey
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Last Updated: Jan 29, 2025 at 16:50 by Martin Rubey