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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: Mp00239
------------------------------------------------------------------------
Map name: Corteel
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Corteel's map interchanging the number of crossings and the number of nestings of a permutation.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.
------------------------------------------------------------------------
References: [1] Corteel, S. Crossings and alignments of permutations [[MathSciNet:2290808]]
------------------------------------------------------------------------
Code:
def complement(S, P):
Q = [None]*len(P)
h = 0
for i, (s, p) in enumerate(zip(S, P)):
if s == "u":
Q[i] = h - p
h += 1
elif s == "d":
h -= 1
Q[i] = h - p
elif s == "b":
Q[i] = h - p
elif s == "r":
Q[i] = h - 1 - p
return (S, tuple(Q))
def FZ(sigma):
sigma = Permutation(sigma)
sigma_inv = sigma.inverse()
n = len(sigma)
s = []
p = []
for i in range(1, n+1):
if i < sigma(i) and i < sigma_inv(i):
s.append("u")
p.append(sum(1 for j in range(1, i) if sigma(i) < sigma(j)))
elif i <= sigma(i) and i >= sigma_inv(i):
s.append("b")
p.append(sum(1 for j in range(1, i) if sigma(i) < sigma(j)))
elif i > sigma(i) and i < sigma_inv(i):
s.append("r")
p.append(sum(1 for j in range(i+1, n+1) if sigma(i) > sigma(j)))
elif i > sigma(i) and i > sigma_inv(i):
s.append("d")
p.append(sum(1 for j in range(i+1, n+1) if sigma(i) > sigma(j)))
return (tuple(s), tuple(p))
def FZ_inv(S, P):
pi = []
op = [i for i, s in enumerate(S, 1) if s == "u"]
te = [i for i, s in enumerate(S, 1) if s == "b"]
cl = [i for i, s in enumerate(S, 1) if s == "d"]
td = [i for i, s in enumerate(S, 1) if s == "r"]
A = sorted(op + td)
B = sorted(cl + te, reverse=True)
pi = [None]*len(S)
for i, (s, p) in reversed(list(enumerate(zip(S, P), 1))):
if s == "u" or s == "b":
pi[i-1] = B.pop(p)
for i, (s, p) in enumerate(zip(S, P), 1):
if s == "r" or s == "d":
pi[i-1] = A.pop(p)
return Permutation(pi)
def mapping(pi):
return FZ_inv(*complement(*FZ(pi)))
------------------------------------------------------------------------
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] => [4,1,3,2]
[3,2,1,4] => [2,3,1,4]
[3,2,4,1] => [2,4,3,1]
[3,4,1,2] => [4,3,2,1]
[3,4,2,1] => [4,3,1,2]
[4,1,2,3] => [4,1,2,3]
[4,1,3,2] => [3,1,4,2]
[4,2,1,3] => [2,4,1,3]
[4,2,3,1] => [2,3,4,1]
[4,3,1,2] => [3,4,2,1]
[4,3,2,1] => [3,4,1,2]
[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] => [1,5,2,4,3]
[1,4,3,2,5] => [1,3,4,2,5]
[1,4,3,5,2] => [1,3,5,4,2]
[1,4,5,2,3] => [1,5,4,3,2]
[1,4,5,3,2] => [1,5,4,2,3]
[1,5,2,3,4] => [1,5,2,3,4]
[1,5,2,4,3] => [1,4,2,5,3]
[1,5,3,2,4] => [1,3,5,2,4]
[1,5,3,4,2] => [1,3,4,5,2]
[1,5,4,2,3] => [1,4,5,3,2]
[1,5,4,3,2] => [1,4,5,2,3]
[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] => [5,2,1,4,3]
[2,4,3,1,5] => [3,2,4,1,5]
[2,4,3,5,1] => [3,2,5,4,1]
[2,4,5,1,3] => [5,2,4,3,1]
[2,4,5,3,1] => [5,2,4,1,3]
[2,5,1,3,4] => [5,2,1,3,4]
[2,5,1,4,3] => [4,2,1,5,3]
[2,5,3,1,4] => [3,2,5,1,4]
[2,5,3,4,1] => [3,2,4,5,1]
[2,5,4,1,3] => [4,2,5,3,1]
[2,5,4,3,1] => [4,2,5,1,3]
[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] => [4,1,3,2,5]
[3,1,4,5,2] => [5,1,3,4,2]
[3,1,5,2,4] => [5,1,3,2,4]
[3,1,5,4,2] => [4,1,3,5,2]
[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] => [2,4,3,1,5]
[3,2,4,5,1] => [2,5,3,4,1]
[3,2,5,1,4] => [2,5,3,1,4]
[3,2,5,4,1] => [2,4,3,5,1]
[3,4,1,2,5] => [4,3,2,1,5]
[3,4,1,5,2] => [5,3,2,4,1]
[3,4,2,1,5] => [4,3,1,2,5]
[3,4,2,5,1] => [5,3,1,4,2]
[3,4,5,1,2] => [5,4,3,2,1]
[3,4,5,2,1] => [5,4,3,1,2]
[3,5,1,2,4] => [5,3,2,1,4]
[3,5,1,4,2] => [4,3,2,5,1]
[3,5,2,1,4] => [5,3,1,2,4]
[3,5,2,4,1] => [4,3,1,5,2]
[3,5,4,1,2] => [5,3,4,2,1]
[3,5,4,2,1] => [5,3,4,1,2]
[4,1,2,3,5] => [4,1,2,3,5]
[4,1,2,5,3] => [5,1,2,4,3]
[4,1,3,2,5] => [3,1,4,2,5]
[4,1,3,5,2] => [3,1,5,4,2]
[4,1,5,2,3] => [5,1,4,3,2]
[4,1,5,3,2] => [5,1,4,2,3]
[4,2,1,3,5] => [2,4,1,3,5]
[4,2,1,5,3] => [2,5,1,4,3]
[4,2,3,1,5] => [2,3,4,1,5]
[4,2,3,5,1] => [2,3,5,4,1]
[4,2,5,1,3] => [2,5,4,3,1]
[4,2,5,3,1] => [2,5,4,1,3]
[4,3,1,2,5] => [3,4,2,1,5]
[4,3,1,5,2] => [3,5,2,4,1]
[4,3,2,1,5] => [3,4,1,2,5]
[4,3,2,5,1] => [3,5,1,4,2]
[4,3,5,1,2] => [4,5,3,2,1]
[4,3,5,2,1] => [4,5,3,1,2]
[4,5,1,2,3] => [5,4,2,3,1]
[4,5,1,3,2] => [5,4,2,1,3]
[4,5,2,1,3] => [5,4,1,3,2]
[4,5,2,3,1] => [5,4,1,2,3]
[4,5,3,1,2] => [4,3,5,2,1]
[4,5,3,2,1] => [4,3,5,1,2]
[5,1,2,3,4] => [5,1,2,3,4]
[5,1,2,4,3] => [4,1,2,5,3]
[5,1,3,2,4] => [3,1,5,2,4]
[5,1,3,4,2] => [3,1,4,5,2]
[5,1,4,2,3] => [4,1,5,3,2]
[5,1,4,3,2] => [4,1,5,2,3]
[5,2,1,3,4] => [2,5,1,3,4]
[5,2,1,4,3] => [2,4,1,5,3]
[5,2,3,1,4] => [2,3,5,1,4]
[5,2,3,4,1] => [2,3,4,5,1]
[5,2,4,1,3] => [2,4,5,3,1]
[5,2,4,3,1] => [2,4,5,1,3]
[5,3,1,2,4] => [3,5,2,1,4]
[5,3,1,4,2] => [3,4,2,5,1]
[5,3,2,1,4] => [3,5,1,2,4]
[5,3,2,4,1] => [3,4,1,5,2]
[5,3,4,1,2] => [3,5,4,2,1]
[5,3,4,2,1] => [3,5,4,1,2]
[5,4,1,2,3] => [4,5,2,3,1]
[5,4,1,3,2] => [4,5,2,1,3]
[5,4,2,1,3] => [4,5,1,3,2]
[5,4,2,3,1] => [4,5,1,2,3]
[5,4,3,1,2] => [3,4,5,2,1]
[5,4,3,2,1] => [3,4,5,1,2]
[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] => [1,2,6,3,5,4]
[1,2,5,4,3,6] => [1,2,4,5,3,6]
[1,2,5,4,6,3] => [1,2,4,6,5,3]
[1,2,5,6,3,4] => [1,2,6,5,4,3]
[1,2,5,6,4,3] => [1,2,6,5,3,4]
[1,2,6,3,4,5] => [1,2,6,3,4,5]
[1,2,6,3,5,4] => [1,2,5,3,6,4]
[1,2,6,4,3,5] => [1,2,4,6,3,5]
[1,2,6,4,5,3] => [1,2,4,5,6,3]
[1,2,6,5,3,4] => [1,2,5,6,4,3]
[1,2,6,5,4,3] => [1,2,5,6,3,4]
[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] => [1,6,3,2,5,4]
[1,3,5,4,2,6] => [1,4,3,5,2,6]
[1,3,5,4,6,2] => [1,4,3,6,5,2]
[1,3,5,6,2,4] => [1,6,3,5,4,2]
[1,3,5,6,4,2] => [1,6,3,5,2,4]
[1,3,6,2,4,5] => [1,6,3,2,4,5]
[1,3,6,2,5,4] => [1,5,3,2,6,4]
[1,3,6,4,2,5] => [1,4,3,6,2,5]
[1,3,6,4,5,2] => [1,4,3,5,6,2]
[1,3,6,5,2,4] => [1,5,3,6,4,2]
[1,3,6,5,4,2] => [1,5,3,6,2,4]
[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] => [1,5,2,4,3,6]
[1,4,2,5,6,3] => [1,6,2,4,5,3]
[1,4,2,6,3,5] => [1,6,2,4,3,5]
[1,4,2,6,5,3] => [1,5,2,4,6,3]
[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] => [1,3,5,4,2,6]
[1,4,3,5,6,2] => [1,3,6,4,5,2]
[1,4,3,6,2,5] => [1,3,6,4,2,5]
[1,4,3,6,5,2] => [1,3,5,4,6,2]
[1,4,5,2,3,6] => [1,5,4,3,2,6]
[1,4,5,2,6,3] => [1,6,4,3,5,2]
[1,4,5,3,2,6] => [1,5,4,2,3,6]
[1,4,5,3,6,2] => [1,6,4,2,5,3]
[1,4,5,6,2,3] => [1,6,5,4,3,2]
[1,4,5,6,3,2] => [1,6,5,4,2,3]
[1,4,6,2,3,5] => [1,6,4,3,2,5]
[1,4,6,2,5,3] => [1,5,4,3,6,2]
[1,4,6,3,2,5] => [1,6,4,2,3,5]
[1,4,6,3,5,2] => [1,5,4,2,6,3]
[1,4,6,5,2,3] => [1,6,4,5,3,2]
[1,4,6,5,3,2] => [1,6,4,5,2,3]
[1,5,2,3,4,6] => [1,5,2,3,4,6]
[1,5,2,3,6,4] => [1,6,2,3,5,4]
[1,5,2,4,3,6] => [1,4,2,5,3,6]
[1,5,2,4,6,3] => [1,4,2,6,5,3]
[1,5,2,6,3,4] => [1,6,2,5,4,3]
[1,5,2,6,4,3] => [1,6,2,5,3,4]
[1,5,3,2,4,6] => [1,3,5,2,4,6]
[1,5,3,2,6,4] => [1,3,6,2,5,4]
[1,5,3,4,2,6] => [1,3,4,5,2,6]
[1,5,3,4,6,2] => [1,3,4,6,5,2]
[1,5,3,6,2,4] => [1,3,6,5,4,2]
[1,5,3,6,4,2] => [1,3,6,5,2,4]
[1,5,4,2,3,6] => [1,4,5,3,2,6]
[1,5,4,2,6,3] => [1,4,6,3,5,2]
[1,5,4,3,2,6] => [1,4,5,2,3,6]
[1,5,4,3,6,2] => [1,4,6,2,5,3]
[1,5,4,6,2,3] => [1,5,6,4,3,2]
[1,5,4,6,3,2] => [1,5,6,4,2,3]
[1,5,6,2,3,4] => [1,6,5,3,4,2]
[1,5,6,2,4,3] => [1,6,5,3,2,4]
[1,5,6,3,2,4] => [1,6,5,2,4,3]
[1,5,6,3,4,2] => [1,6,5,2,3,4]
[1,5,6,4,2,3] => [1,5,4,6,3,2]
[1,5,6,4,3,2] => [1,5,4,6,2,3]
[1,6,2,3,4,5] => [1,6,2,3,4,5]
[1,6,2,3,5,4] => [1,5,2,3,6,4]
[1,6,2,4,3,5] => [1,4,2,6,3,5]
[1,6,2,4,5,3] => [1,4,2,5,6,3]
[1,6,2,5,3,4] => [1,5,2,6,4,3]
[1,6,2,5,4,3] => [1,5,2,6,3,4]
[1,6,3,2,4,5] => [1,3,6,2,4,5]
[1,6,3,2,5,4] => [1,3,5,2,6,4]
[1,6,3,4,2,5] => [1,3,4,6,2,5]
[1,6,3,4,5,2] => [1,3,4,5,6,2]
[1,6,3,5,2,4] => [1,3,5,6,4,2]
[1,6,3,5,4,2] => [1,3,5,6,2,4]
[1,6,4,2,3,5] => [1,4,6,3,2,5]
[1,6,4,2,5,3] => [1,4,5,3,6,2]
[1,6,4,3,2,5] => [1,4,6,2,3,5]
[1,6,4,3,5,2] => [1,4,5,2,6,3]
[1,6,4,5,2,3] => [1,4,6,5,3,2]
[1,6,4,5,3,2] => [1,4,6,5,2,3]
[1,6,5,2,3,4] => [1,5,6,3,4,2]
[1,6,5,2,4,3] => [1,5,6,3,2,4]
[1,6,5,3,2,4] => [1,5,6,2,4,3]
[1,6,5,3,4,2] => [1,5,6,2,3,4]
[1,6,5,4,2,3] => [1,4,5,6,3,2]
[1,6,5,4,3,2] => [1,4,5,6,2,3]
[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] => [2,1,6,3,5,4]
[2,1,5,4,3,6] => [2,1,4,5,3,6]
[2,1,5,4,6,3] => [2,1,4,6,5,3]
[2,1,5,6,3,4] => [2,1,6,5,4,3]
[2,1,5,6,4,3] => [2,1,6,5,3,4]
[2,1,6,3,4,5] => [2,1,6,3,4,5]
[2,1,6,3,5,4] => [2,1,5,3,6,4]
[2,1,6,4,3,5] => [2,1,4,6,3,5]
[2,1,6,4,5,3] => [2,1,4,5,6,3]
[2,1,6,5,3,4] => [2,1,5,6,4,3]
[2,1,6,5,4,3] => [2,1,5,6,3,4]
[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] => [6,2,3,1,5,4]
[2,3,5,4,1,6] => [4,2,3,5,1,6]
[2,3,5,4,6,1] => [4,2,3,6,5,1]
[2,3,5,6,1,4] => [6,2,3,5,4,1]
[2,3,5,6,4,1] => [6,2,3,5,1,4]
[2,3,6,1,4,5] => [6,2,3,1,4,5]
[2,3,6,1,5,4] => [5,2,3,1,6,4]
[2,3,6,4,1,5] => [4,2,3,6,1,5]
[2,3,6,4,5,1] => [4,2,3,5,6,1]
[2,3,6,5,1,4] => [5,2,3,6,4,1]
[2,3,6,5,4,1] => [5,2,3,6,1,4]
[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] => [5,2,1,4,3,6]
[2,4,1,5,6,3] => [6,2,1,4,5,3]
[2,4,1,6,3,5] => [6,2,1,4,3,5]
[2,4,1,6,5,3] => [5,2,1,4,6,3]
[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] => [3,2,5,4,1,6]
[2,4,3,5,6,1] => [3,2,6,4,5,1]
[2,4,3,6,1,5] => [3,2,6,4,1,5]
[2,4,3,6,5,1] => [3,2,5,4,6,1]
[2,4,5,1,3,6] => [5,2,4,3,1,6]
[2,4,5,1,6,3] => [6,2,4,3,5,1]
[2,4,5,3,1,6] => [5,2,4,1,3,6]
[2,4,5,3,6,1] => [6,2,4,1,5,3]
[2,4,5,6,1,3] => [6,2,5,4,3,1]
[2,4,5,6,3,1] => [6,2,5,4,1,3]
[2,4,6,1,3,5] => [6,2,4,3,1,5]
[2,4,6,1,5,3] => [5,2,4,3,6,1]
[2,4,6,3,1,5] => [6,2,4,1,3,5]
[2,4,6,3,5,1] => [5,2,4,1,6,3]
[2,4,6,5,1,3] => [6,2,4,5,3,1]
[2,4,6,5,3,1] => [6,2,4,5,1,3]
[2,5,1,3,4,6] => [5,2,1,3,4,6]
[2,5,1,3,6,4] => [6,2,1,3,5,4]
[2,5,1,4,3,6] => [4,2,1,5,3,6]
[2,5,1,4,6,3] => [4,2,1,6,5,3]
[2,5,1,6,3,4] => [6,2,1,5,4,3]
[2,5,1,6,4,3] => [6,2,1,5,3,4]
[2,5,3,1,4,6] => [3,2,5,1,4,6]
[2,5,3,1,6,4] => [3,2,6,1,5,4]
[2,5,3,4,1,6] => [3,2,4,5,1,6]
[2,5,3,4,6,1] => [3,2,4,6,5,1]
[2,5,3,6,1,4] => [3,2,6,5,4,1]
[2,5,3,6,4,1] => [3,2,6,5,1,4]
[2,5,4,1,3,6] => [4,2,5,3,1,6]
[2,5,4,1,6,3] => [4,2,6,3,5,1]
[2,5,4,3,1,6] => [4,2,5,1,3,6]
[2,5,4,3,6,1] => [4,2,6,1,5,3]
[2,5,4,6,1,3] => [5,2,6,4,3,1]
[2,5,4,6,3,1] => [5,2,6,4,1,3]
[2,5,6,1,3,4] => [6,2,5,3,4,1]
[2,5,6,1,4,3] => [6,2,5,3,1,4]
[2,5,6,3,1,4] => [6,2,5,1,4,3]
[2,5,6,3,4,1] => [6,2,5,1,3,4]
[2,5,6,4,1,3] => [5,2,4,6,3,1]
[2,5,6,4,3,1] => [5,2,4,6,1,3]
[2,6,1,3,4,5] => [6,2,1,3,4,5]
[2,6,1,3,5,4] => [5,2,1,3,6,4]
[2,6,1,4,3,5] => [4,2,1,6,3,5]
[2,6,1,4,5,3] => [4,2,1,5,6,3]
[2,6,1,5,3,4] => [5,2,1,6,4,3]
[2,6,1,5,4,3] => [5,2,1,6,3,4]
[2,6,3,1,4,5] => [3,2,6,1,4,5]
[2,6,3,1,5,4] => [3,2,5,1,6,4]
[2,6,3,4,1,5] => [3,2,4,6,1,5]
[2,6,3,4,5,1] => [3,2,4,5,6,1]
[2,6,3,5,1,4] => [3,2,5,6,4,1]
[2,6,3,5,4,1] => [3,2,5,6,1,4]
[2,6,4,1,3,5] => [4,2,6,3,1,5]
[2,6,4,1,5,3] => [4,2,5,3,6,1]
[2,6,4,3,1,5] => [4,2,6,1,3,5]
[2,6,4,3,5,1] => [4,2,5,1,6,3]
[2,6,4,5,1,3] => [4,2,6,5,3,1]
[2,6,4,5,3,1] => [4,2,6,5,1,3]
[2,6,5,1,3,4] => [5,2,6,3,4,1]
[2,6,5,1,4,3] => [5,2,6,3,1,4]
[2,6,5,3,1,4] => [5,2,6,1,4,3]
[2,6,5,3,4,1] => [5,2,6,1,3,4]
[2,6,5,4,1,3] => [4,2,5,6,3,1]
[2,6,5,4,3,1] => [4,2,5,6,1,3]
[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] => [4,1,3,2,5,6]
[3,1,4,2,6,5] => [4,1,3,2,6,5]
[3,1,4,5,2,6] => [5,1,3,4,2,6]
[3,1,4,5,6,2] => [6,1,3,4,5,2]
[3,1,4,6,2,5] => [6,1,3,4,2,5]
[3,1,4,6,5,2] => [5,1,3,4,6,2]
[3,1,5,2,4,6] => [5,1,3,2,4,6]
[3,1,5,2,6,4] => [6,1,3,2,5,4]
[3,1,5,4,2,6] => [4,1,3,5,2,6]
[3,1,5,4,6,2] => [4,1,3,6,5,2]
[3,1,5,6,2,4] => [6,1,3,5,4,2]
[3,1,5,6,4,2] => [6,1,3,5,2,4]
[3,1,6,2,4,5] => [6,1,3,2,4,5]
[3,1,6,2,5,4] => [5,1,3,2,6,4]
[3,1,6,4,2,5] => [4,1,3,6,2,5]
[3,1,6,4,5,2] => [4,1,3,5,6,2]
[3,1,6,5,2,4] => [5,1,3,6,4,2]
[3,1,6,5,4,2] => [5,1,3,6,2,4]
[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] => [2,4,3,1,5,6]
[3,2,4,1,6,5] => [2,4,3,1,6,5]
[3,2,4,5,1,6] => [2,5,3,4,1,6]
[3,2,4,5,6,1] => [2,6,3,4,5,1]
[3,2,4,6,1,5] => [2,6,3,4,1,5]
[3,2,4,6,5,1] => [2,5,3,4,6,1]
[3,2,5,1,4,6] => [2,5,3,1,4,6]
[3,2,5,1,6,4] => [2,6,3,1,5,4]
[3,2,5,4,1,6] => [2,4,3,5,1,6]
[3,2,5,4,6,1] => [2,4,3,6,5,1]
[3,2,5,6,1,4] => [2,6,3,5,4,1]
[3,2,5,6,4,1] => [2,6,3,5,1,4]
[3,2,6,1,4,5] => [2,6,3,1,4,5]
[3,2,6,1,5,4] => [2,5,3,1,6,4]
[3,2,6,4,1,5] => [2,4,3,6,1,5]
[3,2,6,4,5,1] => [2,4,3,5,6,1]
[3,2,6,5,1,4] => [2,5,3,6,4,1]
[3,2,6,5,4,1] => [2,5,3,6,1,4]
[3,4,1,2,5,6] => [4,3,2,1,5,6]
[3,4,1,2,6,5] => [4,3,2,1,6,5]
[3,4,1,5,2,6] => [5,3,2,4,1,6]
[3,4,1,5,6,2] => [6,3,2,4,5,1]
[3,4,1,6,2,5] => [6,3,2,4,1,5]
[3,4,1,6,5,2] => [5,3,2,4,6,1]
[3,4,2,1,5,6] => [4,3,1,2,5,6]
[3,4,2,1,6,5] => [4,3,1,2,6,5]
[3,4,2,5,1,6] => [5,3,1,4,2,6]
[3,4,2,5,6,1] => [6,3,1,4,5,2]
[3,4,2,6,1,5] => [6,3,1,4,2,5]
[3,4,2,6,5,1] => [5,3,1,4,6,2]
[3,4,5,1,2,6] => [5,4,3,2,1,6]
[3,4,5,1,6,2] => [6,4,3,2,5,1]
[3,4,5,2,1,6] => [5,4,3,1,2,6]
[3,4,5,2,6,1] => [6,4,3,1,5,2]
[3,4,5,6,1,2] => [6,5,3,4,2,1]
[3,4,5,6,2,1] => [6,5,3,4,1,2]
[3,4,6,1,2,5] => [6,4,3,2,1,5]
[3,4,6,1,5,2] => [5,4,3,2,6,1]
[3,4,6,2,1,5] => [6,4,3,1,2,5]
[3,4,6,2,5,1] => [5,4,3,1,6,2]
[3,4,6,5,1,2] => [6,4,3,5,2,1]
[3,4,6,5,2,1] => [6,4,3,5,1,2]
[3,5,1,2,4,6] => [5,3,2,1,4,6]
[3,5,1,2,6,4] => [6,3,2,1,5,4]
[3,5,1,4,2,6] => [4,3,2,5,1,6]
[3,5,1,4,6,2] => [4,3,2,6,5,1]
[3,5,1,6,2,4] => [6,3,2,5,4,1]
[3,5,1,6,4,2] => [6,3,2,5,1,4]
[3,5,2,1,4,6] => [5,3,1,2,4,6]
[3,5,2,1,6,4] => [6,3,1,2,5,4]
[3,5,2,4,1,6] => [4,3,1,5,2,6]
[3,5,2,4,6,1] => [4,3,1,6,5,2]
[3,5,2,6,1,4] => [6,3,1,5,4,2]
[3,5,2,6,4,1] => [6,3,1,5,2,4]
[3,5,4,1,2,6] => [5,3,4,2,1,6]
[3,5,4,1,6,2] => [6,3,4,2,5,1]
[3,5,4,2,1,6] => [5,3,4,1,2,6]
[3,5,4,2,6,1] => [6,3,4,1,5,2]
[3,5,4,6,1,2] => [6,3,5,4,2,1]
[3,5,4,6,2,1] => [6,3,5,4,1,2]
[3,5,6,1,2,4] => [6,5,3,2,4,1]
[3,5,6,1,4,2] => [6,5,3,2,1,4]
[3,5,6,2,1,4] => [6,5,3,1,4,2]
[3,5,6,2,4,1] => [6,5,3,1,2,4]
[3,5,6,4,1,2] => [5,4,3,6,2,1]
[3,5,6,4,2,1] => [5,4,3,6,1,2]
[3,6,1,2,4,5] => [6,3,2,1,4,5]
[3,6,1,2,5,4] => [5,3,2,1,6,4]
[3,6,1,4,2,5] => [4,3,2,6,1,5]
[3,6,1,4,5,2] => [4,3,2,5,6,1]
[3,6,1,5,2,4] => [5,3,2,6,4,1]
[3,6,1,5,4,2] => [5,3,2,6,1,4]
[3,6,2,1,4,5] => [6,3,1,2,4,5]
[3,6,2,1,5,4] => [5,3,1,2,6,4]
[3,6,2,4,1,5] => [4,3,1,6,2,5]
[3,6,2,4,5,1] => [4,3,1,5,6,2]
[3,6,2,5,1,4] => [5,3,1,6,4,2]
[3,6,2,5,4,1] => [5,3,1,6,2,4]
[3,6,4,1,2,5] => [6,3,4,2,1,5]
[3,6,4,1,5,2] => [5,3,4,2,6,1]
[3,6,4,2,1,5] => [6,3,4,1,2,5]
[3,6,4,2,5,1] => [5,3,4,1,6,2]
[3,6,4,5,1,2] => [6,3,4,5,2,1]
[3,6,4,5,2,1] => [6,3,4,5,1,2]
[3,6,5,1,2,4] => [6,3,5,2,4,1]
[3,6,5,1,4,2] => [6,3,5,2,1,4]
[3,6,5,2,1,4] => [6,3,5,1,4,2]
[3,6,5,2,4,1] => [6,3,5,1,2,4]
[3,6,5,4,1,2] => [5,3,4,6,2,1]
[3,6,5,4,2,1] => [5,3,4,6,1,2]
[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] => [5,1,2,4,3,6]
[4,1,2,5,6,3] => [6,1,2,4,5,3]
[4,1,2,6,3,5] => [6,1,2,4,3,5]
[4,1,2,6,5,3] => [5,1,2,4,6,3]
[4,1,3,2,5,6] => [3,1,4,2,5,6]
[4,1,3,2,6,5] => [3,1,4,2,6,5]
[4,1,3,5,2,6] => [3,1,5,4,2,6]
[4,1,3,5,6,2] => [3,1,6,4,5,2]
[4,1,3,6,2,5] => [3,1,6,4,2,5]
[4,1,3,6,5,2] => [3,1,5,4,6,2]
[4,1,5,2,3,6] => [5,1,4,3,2,6]
[4,1,5,2,6,3] => [6,1,4,3,5,2]
[4,1,5,3,2,6] => [5,1,4,2,3,6]
[4,1,5,3,6,2] => [6,1,4,2,5,3]
[4,1,5,6,2,3] => [6,1,5,4,3,2]
[4,1,5,6,3,2] => [6,1,5,4,2,3]
[4,1,6,2,3,5] => [6,1,4,3,2,5]
[4,1,6,2,5,3] => [5,1,4,3,6,2]
[4,1,6,3,2,5] => [6,1,4,2,3,5]
[4,1,6,3,5,2] => [5,1,4,2,6,3]
[4,1,6,5,2,3] => [6,1,4,5,3,2]
[4,1,6,5,3,2] => [6,1,4,5,2,3]
[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] => [2,5,1,4,3,6]
[4,2,1,5,6,3] => [2,6,1,4,5,3]
[4,2,1,6,3,5] => [2,6,1,4,3,5]
[4,2,1,6,5,3] => [2,5,1,4,6,3]
[4,2,3,1,5,6] => [2,3,4,1,5,6]
[4,2,3,1,6,5] => [2,3,4,1,6,5]
[4,2,3,5,1,6] => [2,3,5,4,1,6]
[4,2,3,5,6,1] => [2,3,6,4,5,1]
[4,2,3,6,1,5] => [2,3,6,4,1,5]
[4,2,3,6,5,1] => [2,3,5,4,6,1]
[4,2,5,1,3,6] => [2,5,4,3,1,6]
[4,2,5,1,6,3] => [2,6,4,3,5,1]
[4,2,5,3,1,6] => [2,5,4,1,3,6]
[4,2,5,3,6,1] => [2,6,4,1,5,3]
[4,2,5,6,1,3] => [2,6,5,4,3,1]
[4,2,5,6,3,1] => [2,6,5,4,1,3]
[4,2,6,1,3,5] => [2,6,4,3,1,5]
[4,2,6,1,5,3] => [2,5,4,3,6,1]
[4,2,6,3,1,5] => [2,6,4,1,3,5]
[4,2,6,3,5,1] => [2,5,4,1,6,3]
[4,2,6,5,1,3] => [2,6,4,5,3,1]
[4,2,6,5,3,1] => [2,6,4,5,1,3]
[4,3,1,2,5,6] => [3,4,2,1,5,6]
[4,3,1,2,6,5] => [3,4,2,1,6,5]
[4,3,1,5,2,6] => [3,5,2,4,1,6]
[4,3,1,5,6,2] => [3,6,2,4,5,1]
[4,3,1,6,2,5] => [3,6,2,4,1,5]
[4,3,1,6,5,2] => [3,5,2,4,6,1]
[4,3,2,1,5,6] => [3,4,1,2,5,6]
[4,3,2,1,6,5] => [3,4,1,2,6,5]
[4,3,2,5,1,6] => [3,5,1,4,2,6]
[4,3,2,5,6,1] => [3,6,1,4,5,2]
[4,3,2,6,1,5] => [3,6,1,4,2,5]
[4,3,2,6,5,1] => [3,5,1,4,6,2]
[4,3,5,1,2,6] => [4,5,3,2,1,6]
[4,3,5,1,6,2] => [4,6,3,2,5,1]
[4,3,5,2,1,6] => [4,5,3,1,2,6]
[4,3,5,2,6,1] => [4,6,3,1,5,2]
[4,3,5,6,1,2] => [5,6,3,4,2,1]
[4,3,5,6,2,1] => [5,6,3,4,1,2]
[4,3,6,1,2,5] => [4,6,3,2,1,5]
[4,3,6,1,5,2] => [4,5,3,2,6,1]
[4,3,6,2,1,5] => [4,6,3,1,2,5]
[4,3,6,2,5,1] => [4,5,3,1,6,2]
[4,3,6,5,1,2] => [4,6,3,5,2,1]
[4,3,6,5,2,1] => [4,6,3,5,1,2]
[4,5,1,2,3,6] => [5,4,2,3,1,6]
[4,5,1,2,6,3] => [6,4,2,3,5,1]
[4,5,1,3,2,6] => [5,4,2,1,3,6]
[4,5,1,3,6,2] => [6,4,2,1,5,3]
[4,5,1,6,2,3] => [6,5,2,4,3,1]
[4,5,1,6,3,2] => [6,5,2,4,1,3]
[4,5,2,1,3,6] => [5,4,1,3,2,6]
[4,5,2,1,6,3] => [6,4,1,3,5,2]
[4,5,2,3,1,6] => [5,4,1,2,3,6]
[4,5,2,3,6,1] => [6,4,1,2,5,3]
[4,5,2,6,1,3] => [6,5,1,4,3,2]
[4,5,2,6,3,1] => [6,5,1,4,2,3]
[4,5,3,1,2,6] => [4,3,5,2,1,6]
[4,5,3,1,6,2] => [4,3,6,2,5,1]
[4,5,3,2,1,6] => [4,3,5,1,2,6]
[4,5,3,2,6,1] => [4,3,6,1,5,2]
[4,5,3,6,1,2] => [5,3,6,4,2,1]
[4,5,3,6,2,1] => [5,3,6,4,1,2]
[4,5,6,1,2,3] => [6,5,4,3,2,1]
[4,5,6,1,3,2] => [6,5,4,3,1,2]
[4,5,6,2,1,3] => [6,5,4,2,3,1]
[4,5,6,2,3,1] => [6,5,4,2,1,3]
[4,5,6,3,1,2] => [6,5,4,1,3,2]
[4,5,6,3,2,1] => [6,5,4,1,2,3]
[4,6,1,2,3,5] => [6,4,2,3,1,5]
[4,6,1,2,5,3] => [5,4,2,3,6,1]
[4,6,1,3,2,5] => [6,4,2,1,3,5]
[4,6,1,3,5,2] => [5,4,2,1,6,3]
[4,6,1,5,2,3] => [6,4,2,5,3,1]
[4,6,1,5,3,2] => [6,4,2,5,1,3]
[4,6,2,1,3,5] => [6,4,1,3,2,5]
[4,6,2,1,5,3] => [5,4,1,3,6,2]
[4,6,2,3,1,5] => [6,4,1,2,3,5]
[4,6,2,3,5,1] => [5,4,1,2,6,3]
[4,6,2,5,1,3] => [6,4,1,5,3,2]
[4,6,2,5,3,1] => [6,4,1,5,2,3]
[4,6,3,1,2,5] => [4,3,6,2,1,5]
[4,6,3,1,5,2] => [4,3,5,2,6,1]
[4,6,3,2,1,5] => [4,3,6,1,2,5]
[4,6,3,2,5,1] => [4,3,5,1,6,2]
[4,6,3,5,1,2] => [4,3,6,5,2,1]
[4,6,3,5,2,1] => [4,3,6,5,1,2]
[4,6,5,1,2,3] => [6,4,5,3,2,1]
[4,6,5,1,3,2] => [6,4,5,3,1,2]
[4,6,5,2,1,3] => [6,4,5,2,3,1]
[4,6,5,2,3,1] => [6,4,5,2,1,3]
[4,6,5,3,1,2] => [6,4,5,1,3,2]
[4,6,5,3,2,1] => [6,4,5,1,2,3]
[5,1,2,3,4,6] => [5,1,2,3,4,6]
[5,1,2,3,6,4] => [6,1,2,3,5,4]
[5,1,2,4,3,6] => [4,1,2,5,3,6]
[5,1,2,4,6,3] => [4,1,2,6,5,3]
[5,1,2,6,3,4] => [6,1,2,5,4,3]
[5,1,2,6,4,3] => [6,1,2,5,3,4]
[5,1,3,2,4,6] => [3,1,5,2,4,6]
[5,1,3,2,6,4] => [3,1,6,2,5,4]
[5,1,3,4,2,6] => [3,1,4,5,2,6]
[5,1,3,4,6,2] => [3,1,4,6,5,2]
[5,1,3,6,2,4] => [3,1,6,5,4,2]
[5,1,3,6,4,2] => [3,1,6,5,2,4]
[5,1,4,2,3,6] => [4,1,5,3,2,6]
[5,1,4,2,6,3] => [4,1,6,3,5,2]
[5,1,4,3,2,6] => [4,1,5,2,3,6]
[5,1,4,3,6,2] => [4,1,6,2,5,3]
[5,1,4,6,2,3] => [5,1,6,4,3,2]
[5,1,4,6,3,2] => [5,1,6,4,2,3]
[5,1,6,2,3,4] => [6,1,5,3,4,2]
[5,1,6,2,4,3] => [6,1,5,3,2,4]
[5,1,6,3,2,4] => [6,1,5,2,4,3]
[5,1,6,3,4,2] => [6,1,5,2,3,4]
[5,1,6,4,2,3] => [5,1,4,6,3,2]
[5,1,6,4,3,2] => [5,1,4,6,2,3]
[5,2,1,3,4,6] => [2,5,1,3,4,6]
[5,2,1,3,6,4] => [2,6,1,3,5,4]
[5,2,1,4,3,6] => [2,4,1,5,3,6]
[5,2,1,4,6,3] => [2,4,1,6,5,3]
[5,2,1,6,3,4] => [2,6,1,5,4,3]
[5,2,1,6,4,3] => [2,6,1,5,3,4]
[5,2,3,1,4,6] => [2,3,5,1,4,6]
[5,2,3,1,6,4] => [2,3,6,1,5,4]
[5,2,3,4,1,6] => [2,3,4,5,1,6]
[5,2,3,4,6,1] => [2,3,4,6,5,1]
[5,2,3,6,1,4] => [2,3,6,5,4,1]
[5,2,3,6,4,1] => [2,3,6,5,1,4]
[5,2,4,1,3,6] => [2,4,5,3,1,6]
[5,2,4,1,6,3] => [2,4,6,3,5,1]
[5,2,4,3,1,6] => [2,4,5,1,3,6]
[5,2,4,3,6,1] => [2,4,6,1,5,3]
[5,2,4,6,1,3] => [2,5,6,4,3,1]
[5,2,4,6,3,1] => [2,5,6,4,1,3]
[5,2,6,1,3,4] => [2,6,5,3,4,1]
[5,2,6,1,4,3] => [2,6,5,3,1,4]
[5,2,6,3,1,4] => [2,6,5,1,4,3]
[5,2,6,3,4,1] => [2,6,5,1,3,4]
[5,2,6,4,1,3] => [2,5,4,6,3,1]
[5,2,6,4,3,1] => [2,5,4,6,1,3]
[5,3,1,2,4,6] => [3,5,2,1,4,6]
[5,3,1,2,6,4] => [3,6,2,1,5,4]
[5,3,1,4,2,6] => [3,4,2,5,1,6]
[5,3,1,4,6,2] => [3,4,2,6,5,1]
[5,3,1,6,2,4] => [3,6,2,5,4,1]
[5,3,1,6,4,2] => [3,6,2,5,1,4]
[5,3,2,1,4,6] => [3,5,1,2,4,6]
[5,3,2,1,6,4] => [3,6,1,2,5,4]
[5,3,2,4,1,6] => [3,4,1,5,2,6]
[5,3,2,4,6,1] => [3,4,1,6,5,2]
[5,3,2,6,1,4] => [3,6,1,5,4,2]
[5,3,2,6,4,1] => [3,6,1,5,2,4]
[5,3,4,1,2,6] => [3,5,4,2,1,6]
[5,3,4,1,6,2] => [3,6,4,2,5,1]
[5,3,4,2,1,6] => [3,5,4,1,2,6]
[5,3,4,2,6,1] => [3,6,4,1,5,2]
[5,3,4,6,1,2] => [3,6,5,4,2,1]
[5,3,4,6,2,1] => [3,6,5,4,1,2]
[5,3,6,1,2,4] => [5,6,3,2,4,1]
[5,3,6,1,4,2] => [5,6,3,2,1,4]
[5,3,6,2,1,4] => [5,6,3,1,4,2]
[5,3,6,2,4,1] => [5,6,3,1,2,4]
[5,3,6,4,1,2] => [4,5,3,6,2,1]
[5,3,6,4,2,1] => [4,5,3,6,1,2]
[5,4,1,2,3,6] => [4,5,2,3,1,6]
[5,4,1,2,6,3] => [4,6,2,3,5,1]
[5,4,1,3,2,6] => [4,5,2,1,3,6]
[5,4,1,3,6,2] => [4,6,2,1,5,3]
[5,4,1,6,2,3] => [5,6,2,4,3,1]
[5,4,1,6,3,2] => [5,6,2,4,1,3]
[5,4,2,1,3,6] => [4,5,1,3,2,6]
[5,4,2,1,6,3] => [4,6,1,3,5,2]
[5,4,2,3,1,6] => [4,5,1,2,3,6]
[5,4,2,3,6,1] => [4,6,1,2,5,3]
[5,4,2,6,1,3] => [5,6,1,4,3,2]
[5,4,2,6,3,1] => [5,6,1,4,2,3]
[5,4,3,1,2,6] => [3,4,5,2,1,6]
[5,4,3,1,6,2] => [3,4,6,2,5,1]
[5,4,3,2,1,6] => [3,4,5,1,2,6]
[5,4,3,2,6,1] => [3,4,6,1,5,2]
[5,4,3,6,1,2] => [3,5,6,4,2,1]
[5,4,3,6,2,1] => [3,5,6,4,1,2]
[5,4,6,1,2,3] => [5,6,4,3,2,1]
[5,4,6,1,3,2] => [5,6,4,3,1,2]
[5,4,6,2,1,3] => [5,6,4,2,3,1]
[5,4,6,2,3,1] => [5,6,4,2,1,3]
[5,4,6,3,1,2] => [5,6,4,1,3,2]
[5,4,6,3,2,1] => [5,6,4,1,2,3]
[5,6,1,2,3,4] => [6,5,2,3,4,1]
[5,6,1,2,4,3] => [6,5,2,3,1,4]
[5,6,1,3,2,4] => [6,5,2,1,4,3]
[5,6,1,3,4,2] => [6,5,2,1,3,4]
[5,6,1,4,2,3] => [5,4,2,6,3,1]
[5,6,1,4,3,2] => [5,4,2,6,1,3]
[5,6,2,1,3,4] => [6,5,1,3,4,2]
[5,6,2,1,4,3] => [6,5,1,3,2,4]
[5,6,2,3,1,4] => [6,5,1,2,4,3]
[5,6,2,3,4,1] => [6,5,1,2,3,4]
[5,6,2,4,1,3] => [5,4,1,6,3,2]
[5,6,2,4,3,1] => [5,4,1,6,2,3]
[5,6,3,1,2,4] => [5,3,6,2,4,1]
[5,6,3,1,4,2] => [5,3,6,2,1,4]
[5,6,3,2,1,4] => [5,3,6,1,4,2]
[5,6,3,2,4,1] => [5,3,6,1,2,4]
[5,6,3,4,1,2] => [4,3,5,6,2,1]
[5,6,3,4,2,1] => [4,3,5,6,1,2]
[5,6,4,1,2,3] => [5,4,6,3,2,1]
[5,6,4,1,3,2] => [5,4,6,3,1,2]
[5,6,4,2,1,3] => [5,4,6,2,3,1]
[5,6,4,2,3,1] => [5,4,6,2,1,3]
[5,6,4,3,1,2] => [5,4,6,1,3,2]
[5,6,4,3,2,1] => [5,4,6,1,2,3]
[6,1,2,3,4,5] => [6,1,2,3,4,5]
[6,1,2,3,5,4] => [5,1,2,3,6,4]
[6,1,2,4,3,5] => [4,1,2,6,3,5]
[6,1,2,4,5,3] => [4,1,2,5,6,3]
[6,1,2,5,3,4] => [5,1,2,6,4,3]
[6,1,2,5,4,3] => [5,1,2,6,3,4]
[6,1,3,2,4,5] => [3,1,6,2,4,5]
[6,1,3,2,5,4] => [3,1,5,2,6,4]
[6,1,3,4,2,5] => [3,1,4,6,2,5]
[6,1,3,4,5,2] => [3,1,4,5,6,2]
[6,1,3,5,2,4] => [3,1,5,6,4,2]
[6,1,3,5,4,2] => [3,1,5,6,2,4]
[6,1,4,2,3,5] => [4,1,6,3,2,5]
[6,1,4,2,5,3] => [4,1,5,3,6,2]
[6,1,4,3,2,5] => [4,1,6,2,3,5]
[6,1,4,3,5,2] => [4,1,5,2,6,3]
[6,1,4,5,2,3] => [4,1,6,5,3,2]
[6,1,4,5,3,2] => [4,1,6,5,2,3]
[6,1,5,2,3,4] => [5,1,6,3,4,2]
[6,1,5,2,4,3] => [5,1,6,3,2,4]
[6,1,5,3,2,4] => [5,1,6,2,4,3]
[6,1,5,3,4,2] => [5,1,6,2,3,4]
[6,1,5,4,2,3] => [4,1,5,6,3,2]
[6,1,5,4,3,2] => [4,1,5,6,2,3]
[6,2,1,3,4,5] => [2,6,1,3,4,5]
[6,2,1,3,5,4] => [2,5,1,3,6,4]
[6,2,1,4,3,5] => [2,4,1,6,3,5]
[6,2,1,4,5,3] => [2,4,1,5,6,3]
[6,2,1,5,3,4] => [2,5,1,6,4,3]
[6,2,1,5,4,3] => [2,5,1,6,3,4]
[6,2,3,1,4,5] => [2,3,6,1,4,5]
[6,2,3,1,5,4] => [2,3,5,1,6,4]
[6,2,3,4,1,5] => [2,3,4,6,1,5]
[6,2,3,4,5,1] => [2,3,4,5,6,1]
[6,2,3,5,1,4] => [2,3,5,6,4,1]
[6,2,3,5,4,1] => [2,3,5,6,1,4]
[6,2,4,1,3,5] => [2,4,6,3,1,5]
[6,2,4,1,5,3] => [2,4,5,3,6,1]
[6,2,4,3,1,5] => [2,4,6,1,3,5]
[6,2,4,3,5,1] => [2,4,5,1,6,3]
[6,2,4,5,1,3] => [2,4,6,5,3,1]
[6,2,4,5,3,1] => [2,4,6,5,1,3]
[6,2,5,1,3,4] => [2,5,6,3,4,1]
[6,2,5,1,4,3] => [2,5,6,3,1,4]
[6,2,5,3,1,4] => [2,5,6,1,4,3]
[6,2,5,3,4,1] => [2,5,6,1,3,4]
[6,2,5,4,1,3] => [2,4,5,6,3,1]
[6,2,5,4,3,1] => [2,4,5,6,1,3]
[6,3,1,2,4,5] => [3,6,2,1,4,5]
[6,3,1,2,5,4] => [3,5,2,1,6,4]
[6,3,1,4,2,5] => [3,4,2,6,1,5]
[6,3,1,4,5,2] => [3,4,2,5,6,1]
[6,3,1,5,2,4] => [3,5,2,6,4,1]
[6,3,1,5,4,2] => [3,5,2,6,1,4]
[6,3,2,1,4,5] => [3,6,1,2,4,5]
[6,3,2,1,5,4] => [3,5,1,2,6,4]
[6,3,2,4,1,5] => [3,4,1,6,2,5]
[6,3,2,4,5,1] => [3,4,1,5,6,2]
[6,3,2,5,1,4] => [3,5,1,6,4,2]
[6,3,2,5,4,1] => [3,5,1,6,2,4]
[6,3,4,1,2,5] => [3,6,4,2,1,5]
[6,3,4,1,5,2] => [3,5,4,2,6,1]
[6,3,4,2,1,5] => [3,6,4,1,2,5]
[6,3,4,2,5,1] => [3,5,4,1,6,2]
[6,3,4,5,1,2] => [3,6,4,5,2,1]
[6,3,4,5,2,1] => [3,6,4,5,1,2]
[6,3,5,1,2,4] => [3,6,5,2,4,1]
[6,3,5,1,4,2] => [3,6,5,2,1,4]
[6,3,5,2,1,4] => [3,6,5,1,4,2]
[6,3,5,2,4,1] => [3,6,5,1,2,4]
[6,3,5,4,1,2] => [3,5,4,6,2,1]
[6,3,5,4,2,1] => [3,5,4,6,1,2]
[6,4,1,2,3,5] => [4,6,2,3,1,5]
[6,4,1,2,5,3] => [4,5,2,3,6,1]
[6,4,1,3,2,5] => [4,6,2,1,3,5]
[6,4,1,3,5,2] => [4,5,2,1,6,3]
[6,4,1,5,2,3] => [4,6,2,5,3,1]
[6,4,1,5,3,2] => [4,6,2,5,1,3]
[6,4,2,1,3,5] => [4,6,1,3,2,5]
[6,4,2,1,5,3] => [4,5,1,3,6,2]
[6,4,2,3,1,5] => [4,6,1,2,3,5]
[6,4,2,3,5,1] => [4,5,1,2,6,3]
[6,4,2,5,1,3] => [4,6,1,5,3,2]
[6,4,2,5,3,1] => [4,6,1,5,2,3]
[6,4,3,1,2,5] => [3,4,6,2,1,5]
[6,4,3,1,5,2] => [3,4,5,2,6,1]
[6,4,3,2,1,5] => [3,4,6,1,2,5]
[6,4,3,2,5,1] => [3,4,5,1,6,2]
[6,4,3,5,1,2] => [3,4,6,5,2,1]
[6,4,3,5,2,1] => [3,4,6,5,1,2]
[6,4,5,1,2,3] => [4,6,5,3,2,1]
[6,4,5,1,3,2] => [4,6,5,3,1,2]
[6,4,5,2,1,3] => [4,6,5,2,3,1]
[6,4,5,2,3,1] => [4,6,5,2,1,3]
[6,4,5,3,1,2] => [4,6,5,1,3,2]
[6,4,5,3,2,1] => [4,6,5,1,2,3]
[6,5,1,2,3,4] => [5,6,2,3,4,1]
[6,5,1,2,4,3] => [5,6,2,3,1,4]
[6,5,1,3,2,4] => [5,6,2,1,4,3]
[6,5,1,3,4,2] => [5,6,2,1,3,4]
[6,5,1,4,2,3] => [4,5,2,6,3,1]
[6,5,1,4,3,2] => [4,5,2,6,1,3]
[6,5,2,1,3,4] => [5,6,1,3,4,2]
[6,5,2,1,4,3] => [5,6,1,3,2,4]
[6,5,2,3,1,4] => [5,6,1,2,4,3]
[6,5,2,3,4,1] => [5,6,1,2,3,4]
[6,5,2,4,1,3] => [4,5,1,6,3,2]
[6,5,2,4,3,1] => [4,5,1,6,2,3]
[6,5,3,1,2,4] => [3,5,6,2,4,1]
[6,5,3,1,4,2] => [3,5,6,2,1,4]
[6,5,3,2,1,4] => [3,5,6,1,4,2]
[6,5,3,2,4,1] => [3,5,6,1,2,4]
[6,5,3,4,1,2] => [3,4,5,6,2,1]
[6,5,3,4,2,1] => [3,4,5,6,1,2]
[6,5,4,1,2,3] => [4,5,6,3,2,1]
[6,5,4,1,3,2] => [4,5,6,3,1,2]
[6,5,4,2,1,3] => [4,5,6,2,3,1]
[6,5,4,2,3,1] => [4,5,6,2,1,3]
[6,5,4,3,1,2] => [4,5,6,1,3,2]
[6,5,4,3,2,1] => [4,5,6,1,2,3]
[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] => [1,2,3,7,4,6,5]
[1,2,3,6,5,4,7] => [1,2,3,5,6,4,7]
[1,2,3,6,5,7,4] => [1,2,3,5,7,6,4]
[1,2,3,6,7,4,5] => [1,2,3,7,6,5,4]
[1,2,3,6,7,5,4] => [1,2,3,7,6,4,5]
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6]
[1,2,3,7,4,6,5] => [1,2,3,6,4,7,5]
[1,2,3,7,5,4,6] => [1,2,3,5,7,4,6]
[1,2,3,7,5,6,4] => [1,2,3,5,6,7,4]
[1,2,3,7,6,4,5] => [1,2,3,6,7,5,4]
[1,2,3,7,6,5,4] => [1,2,3,6,7,4,5]
[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] => [1,2,7,4,3,6,5]
[1,2,4,6,5,3,7] => [1,2,5,4,6,3,7]
[1,2,4,6,5,7,3] => [1,2,5,4,7,6,3]
[1,2,4,6,7,3,5] => [1,2,7,4,6,5,3]
[1,2,4,6,7,5,3] => [1,2,7,4,6,3,5]
[1,2,4,7,3,5,6] => [1,2,7,4,3,5,6]
[1,2,4,7,3,6,5] => [1,2,6,4,3,7,5]
[1,2,4,7,5,3,6] => [1,2,5,4,7,3,6]
[1,2,4,7,5,6,3] => [1,2,5,4,6,7,3]
[1,2,4,7,6,3,5] => [1,2,6,4,7,5,3]
[1,2,4,7,6,5,3] => [1,2,6,4,7,3,5]
[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] => [1,2,6,3,5,4,7]
[1,2,5,3,6,7,4] => [1,2,7,3,5,6,4]
[1,2,5,3,7,4,6] => [1,2,7,3,5,4,6]
[1,2,5,3,7,6,4] => [1,2,6,3,5,7,4]
[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] => [1,2,4,6,5,3,7]
[1,2,5,4,6,7,3] => [1,2,4,7,5,6,3]
[1,2,5,4,7,3,6] => [1,2,4,7,5,3,6]
[1,2,5,4,7,6,3] => [1,2,4,6,5,7,3]
[1,2,5,6,3,4,7] => [1,2,6,5,4,3,7]
[1,2,5,6,3,7,4] => [1,2,7,5,4,6,3]
[1,2,5,6,4,3,7] => [1,2,6,5,3,4,7]
[1,2,5,6,4,7,3] => [1,2,7,5,3,6,4]
[1,2,5,6,7,3,4] => [1,2,7,6,5,4,3]
[1,2,5,6,7,4,3] => [1,2,7,6,5,3,4]
[1,2,5,7,3,4,6] => [1,2,7,5,4,3,6]
[1,2,5,7,3,6,4] => [1,2,6,5,4,7,3]
[1,2,5,7,4,3,6] => [1,2,7,5,3,4,6]
[1,2,5,7,4,6,3] => [1,2,6,5,3,7,4]
[1,2,5,7,6,3,4] => [1,2,7,5,6,4,3]
[1,2,5,7,6,4,3] => [1,2,7,5,6,3,4]
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7]
[1,2,6,3,4,7,5] => [1,2,7,3,4,6,5]
[1,2,6,3,5,4,7] => [1,2,5,3,6,4,7]
[1,2,6,3,5,7,4] => [1,2,5,3,7,6,4]
[1,2,6,3,7,4,5] => [1,2,7,3,6,5,4]
[1,2,6,3,7,5,4] => [1,2,7,3,6,4,5]
[1,2,6,4,3,5,7] => [1,2,4,6,3,5,7]
[1,2,6,4,3,7,5] => [1,2,4,7,3,6,5]
[1,2,6,4,5,3,7] => [1,2,4,5,6,3,7]
[1,2,6,4,5,7,3] => [1,2,4,5,7,6,3]
[1,2,6,4,7,3,5] => [1,2,4,7,6,5,3]
[1,2,6,4,7,5,3] => [1,2,4,7,6,3,5]
[1,2,6,5,3,4,7] => [1,2,5,6,4,3,7]
[1,2,6,5,3,7,4] => [1,2,5,7,4,6,3]
[1,2,6,5,4,3,7] => [1,2,5,6,3,4,7]
[1,2,6,5,4,7,3] => [1,2,5,7,3,6,4]
[1,2,6,5,7,3,4] => [1,2,6,7,5,4,3]
[1,2,6,5,7,4,3] => [1,2,6,7,5,3,4]
[1,2,6,7,3,4,5] => [1,2,7,6,4,5,3]
[1,2,6,7,3,5,4] => [1,2,7,6,4,3,5]
[1,2,6,7,4,3,5] => [1,2,7,6,3,5,4]
[1,2,6,7,4,5,3] => [1,2,7,6,3,4,5]
[1,2,6,7,5,3,4] => [1,2,6,5,7,4,3]
[1,2,6,7,5,4,3] => [1,2,6,5,7,3,4]
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6]
[1,2,7,3,4,6,5] => [1,2,6,3,4,7,5]
[1,2,7,3,5,4,6] => [1,2,5,3,7,4,6]
[1,2,7,3,5,6,4] => [1,2,5,3,6,7,4]
[1,2,7,3,6,4,5] => [1,2,6,3,7,5,4]
[1,2,7,3,6,5,4] => [1,2,6,3,7,4,5]
[1,2,7,4,3,5,6] => [1,2,4,7,3,5,6]
[1,2,7,4,3,6,5] => [1,2,4,6,3,7,5]
[1,2,7,4,5,3,6] => [1,2,4,5,7,3,6]
[1,2,7,4,5,6,3] => [1,2,4,5,6,7,3]
[1,2,7,4,6,3,5] => [1,2,4,6,7,5,3]
[1,2,7,4,6,5,3] => [1,2,4,6,7,3,5]
[1,2,7,5,3,4,6] => [1,2,5,7,4,3,6]
[1,2,7,5,3,6,4] => [1,2,5,6,4,7,3]
[1,2,7,5,4,3,6] => [1,2,5,7,3,4,6]
[1,2,7,5,4,6,3] => [1,2,5,6,3,7,4]
[1,2,7,5,6,3,4] => [1,2,5,7,6,4,3]
[1,2,7,5,6,4,3] => [1,2,5,7,6,3,4]
[1,2,7,6,3,4,5] => [1,2,6,7,4,5,3]
[1,2,7,6,3,5,4] => [1,2,6,7,4,3,5]
[1,2,7,6,4,3,5] => [1,2,6,7,3,5,4]
[1,2,7,6,4,5,3] => [1,2,6,7,3,4,5]
[1,2,7,6,5,3,4] => [1,2,5,6,7,4,3]
[1,2,7,6,5,4,3] => [1,2,5,6,7,3,4]
[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] => [1,3,2,7,4,6,5]
[1,3,2,6,5,4,7] => [1,3,2,5,6,4,7]
[1,3,2,6,5,7,4] => [1,3,2,5,7,6,4]
[1,3,2,6,7,4,5] => [1,3,2,7,6,5,4]
[1,3,2,6,7,5,4] => [1,3,2,7,6,4,5]
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6]
[1,3,2,7,4,6,5] => [1,3,2,6,4,7,5]
[1,3,2,7,5,4,6] => [1,3,2,5,7,4,6]
[1,3,2,7,5,6,4] => [1,3,2,5,6,7,4]
[1,3,2,7,6,4,5] => [1,3,2,6,7,5,4]
[1,3,2,7,6,5,4] => [1,3,2,6,7,4,5]
[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] => [1,7,3,4,2,6,5]
[1,3,4,6,5,2,7] => [1,5,3,4,6,2,7]
[1,3,4,6,5,7,2] => [1,5,3,4,7,6,2]
[1,3,4,6,7,2,5] => [1,7,3,4,6,5,2]
[1,3,4,6,7,5,2] => [1,7,3,4,6,2,5]
[1,3,4,7,2,5,6] => [1,7,3,4,2,5,6]
[1,3,4,7,2,6,5] => [1,6,3,4,2,7,5]
[1,3,4,7,5,2,6] => [1,5,3,4,7,2,6]
[1,3,4,7,5,6,2] => [1,5,3,4,6,7,2]
[1,3,4,7,6,2,5] => [1,6,3,4,7,5,2]
[1,3,4,7,6,5,2] => [1,6,3,4,7,2,5]
[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] => [1,6,3,2,5,4,7]
[1,3,5,2,6,7,4] => [1,7,3,2,5,6,4]
[1,3,5,2,7,4,6] => [1,7,3,2,5,4,6]
[1,3,5,2,7,6,4] => [1,6,3,2,5,7,4]
[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] => [1,4,3,6,5,2,7]
[1,3,5,4,6,7,2] => [1,4,3,7,5,6,2]
[1,3,5,4,7,2,6] => [1,4,3,7,5,2,6]
[1,3,5,4,7,6,2] => [1,4,3,6,5,7,2]
[1,3,5,6,2,4,7] => [1,6,3,5,4,2,7]
[1,3,5,6,2,7,4] => [1,7,3,5,4,6,2]
[1,3,5,6,4,2,7] => [1,6,3,5,2,4,7]
[1,3,5,6,4,7,2] => [1,7,3,5,2,6,4]
[1,3,5,6,7,2,4] => [1,7,3,6,5,4,2]
[1,3,5,6,7,4,2] => [1,7,3,6,5,2,4]
[1,3,5,7,2,4,6] => [1,7,3,5,4,2,6]
[1,3,5,7,2,6,4] => [1,6,3,5,4,7,2]
[1,3,5,7,4,2,6] => [1,7,3,5,2,4,6]
[1,3,5,7,4,6,2] => [1,6,3,5,2,7,4]
[1,3,5,7,6,2,4] => [1,7,3,5,6,4,2]
[1,3,5,7,6,4,2] => [1,7,3,5,6,2,4]
[1,3,6,2,4,5,7] => [1,6,3,2,4,5,7]
[1,3,6,2,4,7,5] => [1,7,3,2,4,6,5]
[1,3,6,2,5,4,7] => [1,5,3,2,6,4,7]
[1,3,6,2,5,7,4] => [1,5,3,2,7,6,4]
[1,3,6,2,7,4,5] => [1,7,3,2,6,5,4]
[1,3,6,2,7,5,4] => [1,7,3,2,6,4,5]
[1,3,6,4,2,5,7] => [1,4,3,6,2,5,7]
[1,3,6,4,2,7,5] => [1,4,3,7,2,6,5]
[1,3,6,4,5,2,7] => [1,4,3,5,6,2,7]
[1,3,6,4,5,7,2] => [1,4,3,5,7,6,2]
[1,3,6,4,7,2,5] => [1,4,3,7,6,5,2]
[1,3,6,4,7,5,2] => [1,4,3,7,6,2,5]
[1,3,6,5,2,4,7] => [1,5,3,6,4,2,7]
[1,3,6,5,2,7,4] => [1,5,3,7,4,6,2]
[1,3,6,5,4,2,7] => [1,5,3,6,2,4,7]
[1,3,6,5,4,7,2] => [1,5,3,7,2,6,4]
[1,3,6,5,7,2,4] => [1,6,3,7,5,4,2]
[1,3,6,5,7,4,2] => [1,6,3,7,5,2,4]
[1,3,6,7,2,4,5] => [1,7,3,6,4,5,2]
[1,3,6,7,2,5,4] => [1,7,3,6,4,2,5]
[1,3,6,7,4,2,5] => [1,7,3,6,2,5,4]
[1,3,6,7,4,5,2] => [1,7,3,6,2,4,5]
[1,3,6,7,5,2,4] => [1,6,3,5,7,4,2]
[1,3,6,7,5,4,2] => [1,6,3,5,7,2,4]
[1,3,7,2,4,5,6] => [1,7,3,2,4,5,6]
[1,3,7,2,4,6,5] => [1,6,3,2,4,7,5]
[1,3,7,2,5,4,6] => [1,5,3,2,7,4,6]
[1,3,7,2,5,6,4] => [1,5,3,2,6,7,4]
[1,3,7,2,6,4,5] => [1,6,3,2,7,5,4]
[1,3,7,2,6,5,4] => [1,6,3,2,7,4,5]
[1,3,7,4,2,5,6] => [1,4,3,7,2,5,6]
[1,3,7,4,2,6,5] => [1,4,3,6,2,7,5]
[1,3,7,4,5,2,6] => [1,4,3,5,7,2,6]
[1,3,7,4,5,6,2] => [1,4,3,5,6,7,2]
[1,3,7,4,6,2,5] => [1,4,3,6,7,5,2]
[1,3,7,4,6,5,2] => [1,4,3,6,7,2,5]
[1,3,7,5,2,4,6] => [1,5,3,7,4,2,6]
[1,3,7,5,2,6,4] => [1,5,3,6,4,7,2]
[1,3,7,5,4,2,6] => [1,5,3,7,2,4,6]
[1,3,7,5,4,6,2] => [1,5,3,6,2,7,4]
[1,3,7,5,6,2,4] => [1,5,3,7,6,4,2]
[1,3,7,5,6,4,2] => [1,5,3,7,6,2,4]
[1,3,7,6,2,4,5] => [1,6,3,7,4,5,2]
[1,3,7,6,2,5,4] => [1,6,3,7,4,2,5]
[1,3,7,6,4,2,5] => [1,6,3,7,2,5,4]
[1,3,7,6,4,5,2] => [1,6,3,7,2,4,5]
[1,3,7,6,5,2,4] => [1,5,3,6,7,4,2]
[1,3,7,6,5,4,2] => [1,5,3,6,7,2,4]
[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] => [1,5,2,4,3,6,7]
[1,4,2,5,3,7,6] => [1,5,2,4,3,7,6]
[1,4,2,5,6,3,7] => [1,6,2,4,5,3,7]
[1,4,2,5,6,7,3] => [1,7,2,4,5,6,3]
[1,4,2,5,7,3,6] => [1,7,2,4,5,3,6]
[1,4,2,5,7,6,3] => [1,6,2,4,5,7,3]
[1,4,2,6,3,5,7] => [1,6,2,4,3,5,7]
[1,4,2,6,3,7,5] => [1,7,2,4,3,6,5]
[1,4,2,6,5,3,7] => [1,5,2,4,6,3,7]
[1,4,2,6,5,7,3] => [1,5,2,4,7,6,3]
[1,4,2,6,7,3,5] => [1,7,2,4,6,5,3]
[1,4,2,6,7,5,3] => [1,7,2,4,6,3,5]
[1,4,2,7,3,5,6] => [1,7,2,4,3,5,6]
[1,4,2,7,3,6,5] => [1,6,2,4,3,7,5]
[1,4,2,7,5,3,6] => [1,5,2,4,7,3,6]
[1,4,2,7,5,6,3] => [1,5,2,4,6,7,3]
[1,4,2,7,6,3,5] => [1,6,2,4,7,5,3]
[1,4,2,7,6,5,3] => [1,6,2,4,7,3,5]
[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] => [1,3,5,4,2,6,7]
[1,4,3,5,2,7,6] => [1,3,5,4,2,7,6]
[1,4,3,5,6,2,7] => [1,3,6,4,5,2,7]
[1,4,3,5,6,7,2] => [1,3,7,4,5,6,2]
[1,4,3,5,7,2,6] => [1,3,7,4,5,2,6]
[1,4,3,5,7,6,2] => [1,3,6,4,5,7,2]
[1,4,3,6,2,5,7] => [1,3,6,4,2,5,7]
[1,4,3,6,2,7,5] => [1,3,7,4,2,6,5]
[1,4,3,6,5,2,7] => [1,3,5,4,6,2,7]
[1,4,3,6,5,7,2] => [1,3,5,4,7,6,2]
[1,4,3,6,7,2,5] => [1,3,7,4,6,5,2]
[1,4,3,6,7,5,2] => [1,3,7,4,6,2,5]
[1,4,3,7,2,5,6] => [1,3,7,4,2,5,6]
[1,4,3,7,2,6,5] => [1,3,6,4,2,7,5]
[1,4,3,7,5,2,6] => [1,3,5,4,7,2,6]
[1,4,3,7,5,6,2] => [1,3,5,4,6,7,2]
[1,4,3,7,6,2,5] => [1,3,6,4,7,5,2]
[1,4,3,7,6,5,2] => [1,3,6,4,7,2,5]
[1,4,5,2,3,6,7] => [1,5,4,3,2,6,7]
[1,4,5,2,3,7,6] => [1,5,4,3,2,7,6]
[1,4,5,2,6,3,7] => [1,6,4,3,5,2,7]
[1,4,5,2,6,7,3] => [1,7,4,3,5,6,2]
[1,4,5,2,7,3,6] => [1,7,4,3,5,2,6]
[1,4,5,2,7,6,3] => [1,6,4,3,5,7,2]
[1,4,5,3,2,6,7] => [1,5,4,2,3,6,7]
[1,4,5,3,2,7,6] => [1,5,4,2,3,7,6]
[1,4,5,3,6,2,7] => [1,6,4,2,5,3,7]
[1,4,5,3,6,7,2] => [1,7,4,2,5,6,3]
[1,4,5,3,7,2,6] => [1,7,4,2,5,3,6]
[1,4,5,3,7,6,2] => [1,6,4,2,5,7,3]
[1,4,5,6,2,3,7] => [1,6,5,4,3,2,7]
[1,4,5,6,2,7,3] => [1,7,5,4,3,6,2]
[1,4,5,6,3,2,7] => [1,6,5,4,2,3,7]
[1,4,5,6,3,7,2] => [1,7,5,4,2,6,3]
[1,4,5,6,7,2,3] => [1,7,6,4,5,3,2]
[1,4,5,6,7,3,2] => [1,7,6,4,5,2,3]
[1,4,5,7,2,3,6] => [1,7,5,4,3,2,6]
[1,4,5,7,2,6,3] => [1,6,5,4,3,7,2]
[1,4,5,7,3,2,6] => [1,7,5,4,2,3,6]
[1,4,5,7,3,6,2] => [1,6,5,4,2,7,3]
[1,4,5,7,6,2,3] => [1,7,5,4,6,3,2]
[1,4,5,7,6,3,2] => [1,7,5,4,6,2,3]
[1,4,6,2,3,5,7] => [1,6,4,3,2,5,7]
[1,4,6,2,3,7,5] => [1,7,4,3,2,6,5]
[1,4,6,2,5,3,7] => [1,5,4,3,6,2,7]
[1,4,6,2,5,7,3] => [1,5,4,3,7,6,2]
[1,4,6,2,7,3,5] => [1,7,4,3,6,5,2]
[1,4,6,2,7,5,3] => [1,7,4,3,6,2,5]
[1,4,6,3,2,5,7] => [1,6,4,2,3,5,7]
[1,4,6,3,2,7,5] => [1,7,4,2,3,6,5]
[1,4,6,3,5,2,7] => [1,5,4,2,6,3,7]
[1,4,6,3,5,7,2] => [1,5,4,2,7,6,3]
[1,4,6,3,7,2,5] => [1,7,4,2,6,5,3]
[1,4,6,3,7,5,2] => [1,7,4,2,6,3,5]
[1,4,6,5,2,3,7] => [1,6,4,5,3,2,7]
[1,4,6,5,2,7,3] => [1,7,4,5,3,6,2]
[1,4,6,5,3,2,7] => [1,6,4,5,2,3,7]
-----------------------------------------------------------------------------
Created: Sep 21, 2021 at 22:04 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Apr 18, 2022 at 18:52 by Nadia Lafreniere