************************************************************************
* 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: Mp00236
------------------------------------------------------------------------
Map name: Clarke-Steingrimsson-Zeng inverse
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map $\Phi$ in [1, sec.3].
------------------------------------------------------------------------
References: [1] Clarke, R. J., Steingr\'ımsson, E., Zeng, J. New Euler-Mahonian statistics on permutations and words [[MathSciNet:1436481]]
------------------------------------------------------------------------
Code:
def mapping(tau):
tau = Permutation(tau)
if not tau:
return tau
f = sorted([i+1 for i in range(len(tau)) if tau[i] > i+1])
g = sorted([i+1 for i in range(len(tau)) if tau[i] <= i+1])
F = set(f)
G = set(g)
F1 = set([tau[i-1] for i in F])
G1 = set([tau[i-1] for i in G])
openers = F.intersection(G1)
closers = G.intersection(F1)
insider = F.intersection(F1)
outside = G.intersection(G1)
assert len(list(openers) + list(closers) + list(insider) + list(outside)) == len(tau)
# embracing numbers of pi are side numbers of tau
E = []
for i in range(len(tau)):
if tau[i] > i+1:
E.append(sum(1 for j in range(i) if tau[j] > tau[i]))
else:
E.append(sum(1 for j in range(i+1, len(tau)) if tau[j] < tau[i]))
S = [] # Clarke's skeleton
if 1 in outside:
S.append([1])
elif 1 in openers:
S.append([1, infinity])
tau_inv = tau.inverse()
def find_open_block(e):
i = len(S)-1
while True:
if infinity in S[i]:
if e == 0:
assert i >= 0
return i
e -= 1
i -= 1
for a in range(2, len(tau)+1):
e = E[tau_inv[a-1]-1]
if a in insider:
i = find_open_block(e)
S[i].append(a)
elif a in closers:
i = find_open_block(e)
S[i].append(a)
S[i].remove(infinity)
elif a in outside:
if e:
i = find_open_block(e-1)
else:
i = len(S)
S.insert(i, [a])
elif a in openers:
if e:
i = find_open_block(e-1)
else:
i = len(S)
S.insert(i, [a, infinity])
return Permutation(sum((sorted(s, reverse=True) for s in S), []))
------------------------------------------------------------------------
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] => [4,3,2,1]
[2,4,1,3] => [4,2,1,3]
[2,4,3,1] => [3,4,2,1]
[3,1,2,4] => [3,1,2,4]
[3,1,4,2] => [4,3,1,2]
[3,2,1,4] => [2,3,1,4]
[3,2,4,1] => [2,4,3,1]
[3,4,1,2] => [4,1,3,2]
[3,4,2,1] => [4,2,3,1]
[4,1,2,3] => [4,1,2,3]
[4,1,3,2] => [3,4,1,2]
[4,2,1,3] => [2,4,1,3]
[4,2,3,1] => [2,3,4,1]
[4,3,1,2] => [3,1,4,2]
[4,3,2,1] => [3,2,4,1]
[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] => [1,5,4,3,2]
[1,3,5,2,4] => [1,5,3,2,4]
[1,3,5,4,2] => [1,4,5,3,2]
[1,4,2,3,5] => [1,4,2,3,5]
[1,4,2,5,3] => [1,5,4,2,3]
[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] => [1,5,2,4,3]
[1,4,5,3,2] => [1,5,3,4,2]
[1,5,2,3,4] => [1,5,2,3,4]
[1,5,2,4,3] => [1,4,5,2,3]
[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] => [1,4,2,5,3]
[1,5,4,3,2] => [1,4,3,5,2]
[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] => [4,3,2,1,5]
[2,3,4,5,1] => [5,4,3,2,1]
[2,3,5,1,4] => [5,3,2,1,4]
[2,3,5,4,1] => [4,5,3,2,1]
[2,4,1,3,5] => [4,2,1,3,5]
[2,4,1,5,3] => [5,4,2,1,3]
[2,4,3,1,5] => [3,4,2,1,5]
[2,4,3,5,1] => [3,5,4,2,1]
[2,4,5,1,3] => [5,2,1,4,3]
[2,4,5,3,1] => [5,3,4,2,1]
[2,5,1,3,4] => [5,2,1,3,4]
[2,5,1,4,3] => [4,5,2,1,3]
[2,5,3,1,4] => [3,5,2,1,4]
[2,5,3,4,1] => [3,4,5,2,1]
[2,5,4,1,3] => [4,2,1,5,3]
[2,5,4,3,1] => [4,3,5,2,1]
[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] => [4,3,1,2,5]
[3,1,4,5,2] => [5,4,3,1,2]
[3,1,5,2,4] => [5,3,1,2,4]
[3,1,5,4,2] => [4,5,3,1,2]
[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] => [2,5,4,3,1]
[3,2,5,1,4] => [2,5,3,1,4]
[3,2,5,4,1] => [2,4,5,3,1]
[3,4,1,2,5] => [4,1,3,2,5]
[3,4,1,5,2] => [5,4,1,3,2]
[3,4,2,1,5] => [4,2,3,1,5]
[3,4,2,5,1] => [5,4,2,3,1]
[3,4,5,1,2] => [5,1,4,3,2]
[3,4,5,2,1] => [5,2,4,3,1]
[3,5,1,2,4] => [5,1,3,2,4]
[3,5,1,4,2] => [4,5,1,3,2]
[3,5,2,1,4] => [5,2,3,1,4]
[3,5,2,4,1] => [4,5,2,3,1]
[3,5,4,1,2] => [4,1,5,3,2]
[3,5,4,2,1] => [4,2,5,3,1]
[4,1,2,3,5] => [4,1,2,3,5]
[4,1,2,5,3] => [5,4,1,2,3]
[4,1,3,2,5] => [3,4,1,2,5]
[4,1,3,5,2] => [3,5,4,1,2]
[4,1,5,2,3] => [5,1,2,4,3]
[4,1,5,3,2] => [5,3,4,1,2]
[4,2,1,3,5] => [2,4,1,3,5]
[4,2,1,5,3] => [2,5,4,1,3]
[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] => [2,5,1,4,3]
[4,2,5,3,1] => [2,5,3,4,1]
[4,3,1,2,5] => [3,1,4,2,5]
[4,3,1,5,2] => [3,1,5,4,2]
[4,3,2,1,5] => [3,2,4,1,5]
[4,3,2,5,1] => [3,2,5,4,1]
[4,3,5,1,2] => [5,3,1,4,2]
[4,3,5,2,1] => [5,3,2,4,1]
[4,5,1,2,3] => [5,1,4,2,3]
[4,5,1,3,2] => [5,1,3,4,2]
[4,5,2,1,3] => [5,2,4,1,3]
[4,5,2,3,1] => [5,2,3,4,1]
[4,5,3,1,2] => [3,5,1,4,2]
[4,5,3,2,1] => [3,5,2,4,1]
[5,1,2,3,4] => [5,1,2,3,4]
[5,1,2,4,3] => [4,5,1,2,3]
[5,1,3,2,4] => [3,5,1,2,4]
[5,1,3,4,2] => [3,4,5,1,2]
[5,1,4,2,3] => [4,1,2,5,3]
[5,1,4,3,2] => [4,3,5,1,2]
[5,2,1,3,4] => [2,5,1,3,4]
[5,2,1,4,3] => [2,4,5,1,3]
[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] => [2,4,1,5,3]
[5,2,4,3,1] => [2,4,3,5,1]
[5,3,1,2,4] => [3,1,5,2,4]
[5,3,1,4,2] => [3,1,4,5,2]
[5,3,2,1,4] => [3,2,5,1,4]
[5,3,2,4,1] => [3,2,4,5,1]
[5,3,4,1,2] => [4,3,1,5,2]
[5,3,4,2,1] => [4,3,2,5,1]
[5,4,1,2,3] => [4,1,5,2,3]
[5,4,1,3,2] => [4,1,3,5,2]
[5,4,2,1,3] => [4,2,5,1,3]
[5,4,2,3,1] => [4,2,3,5,1]
[5,4,3,1,2] => [3,4,1,5,2]
[5,4,3,2,1] => [3,4,2,5,1]
[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] => [1,2,6,5,4,3]
[1,2,4,6,3,5] => [1,2,6,4,3,5]
[1,2,4,6,5,3] => [1,2,5,6,4,3]
[1,2,5,3,4,6] => [1,2,5,3,4,6]
[1,2,5,3,6,4] => [1,2,6,5,3,4]
[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] => [1,2,6,3,5,4]
[1,2,5,6,4,3] => [1,2,6,4,5,3]
[1,2,6,3,4,5] => [1,2,6,3,4,5]
[1,2,6,3,5,4] => [1,2,5,6,3,4]
[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] => [1,2,5,3,6,4]
[1,2,6,5,4,3] => [1,2,5,4,6,3]
[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] => [1,5,4,3,2,6]
[1,3,4,5,6,2] => [1,6,5,4,3,2]
[1,3,4,6,2,5] => [1,6,4,3,2,5]
[1,3,4,6,5,2] => [1,5,6,4,3,2]
[1,3,5,2,4,6] => [1,5,3,2,4,6]
[1,3,5,2,6,4] => [1,6,5,3,2,4]
[1,3,5,4,2,6] => [1,4,5,3,2,6]
[1,3,5,4,6,2] => [1,4,6,5,3,2]
[1,3,5,6,2,4] => [1,6,3,2,5,4]
[1,3,5,6,4,2] => [1,6,4,5,3,2]
[1,3,6,2,4,5] => [1,6,3,2,4,5]
[1,3,6,2,5,4] => [1,5,6,3,2,4]
[1,3,6,4,2,5] => [1,4,6,3,2,5]
[1,3,6,4,5,2] => [1,4,5,6,3,2]
[1,3,6,5,2,4] => [1,5,3,2,6,4]
[1,3,6,5,4,2] => [1,5,4,6,3,2]
[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] => [1,5,4,2,3,6]
[1,4,2,5,6,3] => [1,6,5,4,2,3]
[1,4,2,6,3,5] => [1,6,4,2,3,5]
[1,4,2,6,5,3] => [1,5,6,4,2,3]
[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] => [1,3,6,5,4,2]
[1,4,3,6,2,5] => [1,3,6,4,2,5]
[1,4,3,6,5,2] => [1,3,5,6,4,2]
[1,4,5,2,3,6] => [1,5,2,4,3,6]
[1,4,5,2,6,3] => [1,6,5,2,4,3]
[1,4,5,3,2,6] => [1,5,3,4,2,6]
[1,4,5,3,6,2] => [1,6,5,3,4,2]
[1,4,5,6,2,3] => [1,6,2,5,4,3]
[1,4,5,6,3,2] => [1,6,3,5,4,2]
[1,4,6,2,3,5] => [1,6,2,4,3,5]
[1,4,6,2,5,3] => [1,5,6,2,4,3]
[1,4,6,3,2,5] => [1,6,3,4,2,5]
[1,4,6,3,5,2] => [1,5,6,3,4,2]
[1,4,6,5,2,3] => [1,5,2,6,4,3]
[1,4,6,5,3,2] => [1,5,3,6,4,2]
[1,5,2,3,4,6] => [1,5,2,3,4,6]
[1,5,2,3,6,4] => [1,6,5,2,3,4]
[1,5,2,4,3,6] => [1,4,5,2,3,6]
[1,5,2,4,6,3] => [1,4,6,5,2,3]
[1,5,2,6,3,4] => [1,6,2,3,5,4]
[1,5,2,6,4,3] => [1,6,4,5,2,3]
[1,5,3,2,4,6] => [1,3,5,2,4,6]
[1,5,3,2,6,4] => [1,3,6,5,2,4]
[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] => [1,3,6,2,5,4]
[1,5,3,6,4,2] => [1,3,6,4,5,2]
[1,5,4,2,3,6] => [1,4,2,5,3,6]
[1,5,4,2,6,3] => [1,4,2,6,5,3]
[1,5,4,3,2,6] => [1,4,3,5,2,6]
[1,5,4,3,6,2] => [1,4,3,6,5,2]
[1,5,4,6,2,3] => [1,6,4,2,5,3]
[1,5,4,6,3,2] => [1,6,4,3,5,2]
[1,5,6,2,3,4] => [1,6,2,5,3,4]
[1,5,6,2,4,3] => [1,6,2,4,5,3]
[1,5,6,3,2,4] => [1,6,3,5,2,4]
[1,5,6,3,4,2] => [1,6,3,4,5,2]
[1,5,6,4,2,3] => [1,4,6,2,5,3]
[1,5,6,4,3,2] => [1,4,6,3,5,2]
[1,6,2,3,4,5] => [1,6,2,3,4,5]
[1,6,2,3,5,4] => [1,5,6,2,3,4]
[1,6,2,4,3,5] => [1,4,6,2,3,5]
[1,6,2,4,5,3] => [1,4,5,6,2,3]
[1,6,2,5,3,4] => [1,5,2,3,6,4]
[1,6,2,5,4,3] => [1,5,4,6,2,3]
[1,6,3,2,4,5] => [1,3,6,2,4,5]
[1,6,3,2,5,4] => [1,3,5,6,2,4]
[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] => [1,3,5,2,6,4]
[1,6,3,5,4,2] => [1,3,5,4,6,2]
[1,6,4,2,3,5] => [1,4,2,6,3,5]
[1,6,4,2,5,3] => [1,4,2,5,6,3]
[1,6,4,3,2,5] => [1,4,3,6,2,5]
[1,6,4,3,5,2] => [1,4,3,5,6,2]
[1,6,4,5,2,3] => [1,5,4,2,6,3]
[1,6,4,5,3,2] => [1,5,4,3,6,2]
[1,6,5,2,3,4] => [1,5,2,6,3,4]
[1,6,5,2,4,3] => [1,5,2,4,6,3]
[1,6,5,3,2,4] => [1,5,3,6,2,4]
[1,6,5,3,4,2] => [1,5,3,4,6,2]
[1,6,5,4,2,3] => [1,4,5,2,6,3]
[1,6,5,4,3,2] => [1,4,5,3,6,2]
[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] => [2,1,6,5,4,3]
[2,1,4,6,3,5] => [2,1,6,4,3,5]
[2,1,4,6,5,3] => [2,1,5,6,4,3]
[2,1,5,3,4,6] => [2,1,5,3,4,6]
[2,1,5,3,6,4] => [2,1,6,5,3,4]
[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] => [2,1,6,3,5,4]
[2,1,5,6,4,3] => [2,1,6,4,5,3]
[2,1,6,3,4,5] => [2,1,6,3,4,5]
[2,1,6,3,5,4] => [2,1,5,6,3,4]
[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] => [2,1,5,3,6,4]
[2,1,6,5,4,3] => [2,1,5,4,6,3]
[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] => [4,3,2,1,5,6]
[2,3,4,1,6,5] => [4,3,2,1,6,5]
[2,3,4,5,1,6] => [5,4,3,2,1,6]
[2,3,4,5,6,1] => [6,5,4,3,2,1]
[2,3,4,6,1,5] => [6,4,3,2,1,5]
[2,3,4,6,5,1] => [5,6,4,3,2,1]
[2,3,5,1,4,6] => [5,3,2,1,4,6]
[2,3,5,1,6,4] => [6,5,3,2,1,4]
[2,3,5,4,1,6] => [4,5,3,2,1,6]
[2,3,5,4,6,1] => [4,6,5,3,2,1]
[2,3,5,6,1,4] => [6,3,2,1,5,4]
[2,3,5,6,4,1] => [6,4,5,3,2,1]
[2,3,6,1,4,5] => [6,3,2,1,4,5]
[2,3,6,1,5,4] => [5,6,3,2,1,4]
[2,3,6,4,1,5] => [4,6,3,2,1,5]
[2,3,6,4,5,1] => [4,5,6,3,2,1]
[2,3,6,5,1,4] => [5,3,2,1,6,4]
[2,3,6,5,4,1] => [5,4,6,3,2,1]
[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] => [5,4,2,1,3,6]
[2,4,1,5,6,3] => [6,5,4,2,1,3]
[2,4,1,6,3,5] => [6,4,2,1,3,5]
[2,4,1,6,5,3] => [5,6,4,2,1,3]
[2,4,3,1,5,6] => [3,4,2,1,5,6]
[2,4,3,1,6,5] => [3,4,2,1,6,5]
[2,4,3,5,1,6] => [3,5,4,2,1,6]
[2,4,3,5,6,1] => [3,6,5,4,2,1]
[2,4,3,6,1,5] => [3,6,4,2,1,5]
[2,4,3,6,5,1] => [3,5,6,4,2,1]
[2,4,5,1,3,6] => [5,2,1,4,3,6]
[2,4,5,1,6,3] => [6,5,2,1,4,3]
[2,4,5,3,1,6] => [5,3,4,2,1,6]
[2,4,5,3,6,1] => [6,5,3,4,2,1]
[2,4,5,6,1,3] => [6,2,1,5,4,3]
[2,4,5,6,3,1] => [6,3,5,4,2,1]
[2,4,6,1,3,5] => [6,2,1,4,3,5]
[2,4,6,1,5,3] => [5,6,2,1,4,3]
[2,4,6,3,1,5] => [6,3,4,2,1,5]
[2,4,6,3,5,1] => [5,6,3,4,2,1]
[2,4,6,5,1,3] => [5,2,1,6,4,3]
[2,4,6,5,3,1] => [5,3,6,4,2,1]
[2,5,1,3,4,6] => [5,2,1,3,4,6]
[2,5,1,3,6,4] => [6,5,2,1,3,4]
[2,5,1,4,3,6] => [4,5,2,1,3,6]
[2,5,1,4,6,3] => [4,6,5,2,1,3]
[2,5,1,6,3,4] => [6,2,1,3,5,4]
[2,5,1,6,4,3] => [6,4,5,2,1,3]
[2,5,3,1,4,6] => [3,5,2,1,4,6]
[2,5,3,1,6,4] => [3,6,5,2,1,4]
[2,5,3,4,1,6] => [3,4,5,2,1,6]
[2,5,3,4,6,1] => [3,4,6,5,2,1]
[2,5,3,6,1,4] => [3,6,2,1,5,4]
[2,5,3,6,4,1] => [3,6,4,5,2,1]
[2,5,4,1,3,6] => [4,2,1,5,3,6]
[2,5,4,1,6,3] => [4,2,1,6,5,3]
[2,5,4,3,1,6] => [4,3,5,2,1,6]
[2,5,4,3,6,1] => [4,3,6,5,2,1]
[2,5,4,6,1,3] => [6,4,2,1,5,3]
[2,5,4,6,3,1] => [6,4,3,5,2,1]
[2,5,6,1,3,4] => [6,2,1,5,3,4]
[2,5,6,1,4,3] => [6,2,1,4,5,3]
[2,5,6,3,1,4] => [6,3,5,2,1,4]
[2,5,6,3,4,1] => [6,3,4,5,2,1]
[2,5,6,4,1,3] => [4,6,2,1,5,3]
[2,5,6,4,3,1] => [4,6,3,5,2,1]
[2,6,1,3,4,5] => [6,2,1,3,4,5]
[2,6,1,3,5,4] => [5,6,2,1,3,4]
[2,6,1,4,3,5] => [4,6,2,1,3,5]
[2,6,1,4,5,3] => [4,5,6,2,1,3]
[2,6,1,5,3,4] => [5,2,1,3,6,4]
[2,6,1,5,4,3] => [5,4,6,2,1,3]
[2,6,3,1,4,5] => [3,6,2,1,4,5]
[2,6,3,1,5,4] => [3,5,6,2,1,4]
[2,6,3,4,1,5] => [3,4,6,2,1,5]
[2,6,3,4,5,1] => [3,4,5,6,2,1]
[2,6,3,5,1,4] => [3,5,2,1,6,4]
[2,6,3,5,4,1] => [3,5,4,6,2,1]
[2,6,4,1,3,5] => [4,2,1,6,3,5]
[2,6,4,1,5,3] => [4,2,1,5,6,3]
[2,6,4,3,1,5] => [4,3,6,2,1,5]
[2,6,4,3,5,1] => [4,3,5,6,2,1]
[2,6,4,5,1,3] => [5,4,2,1,6,3]
[2,6,4,5,3,1] => [5,4,3,6,2,1]
[2,6,5,1,3,4] => [5,2,1,6,3,4]
[2,6,5,1,4,3] => [5,2,1,4,6,3]
[2,6,5,3,1,4] => [5,3,6,2,1,4]
[2,6,5,3,4,1] => [5,3,4,6,2,1]
[2,6,5,4,1,3] => [4,5,2,1,6,3]
[2,6,5,4,3,1] => [4,5,3,6,2,1]
[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] => [4,3,1,2,5,6]
[3,1,4,2,6,5] => [4,3,1,2,6,5]
[3,1,4,5,2,6] => [5,4,3,1,2,6]
[3,1,4,5,6,2] => [6,5,4,3,1,2]
[3,1,4,6,2,5] => [6,4,3,1,2,5]
[3,1,4,6,5,2] => [5,6,4,3,1,2]
[3,1,5,2,4,6] => [5,3,1,2,4,6]
[3,1,5,2,6,4] => [6,5,3,1,2,4]
[3,1,5,4,2,6] => [4,5,3,1,2,6]
[3,1,5,4,6,2] => [4,6,5,3,1,2]
[3,1,5,6,2,4] => [6,3,1,2,5,4]
[3,1,5,6,4,2] => [6,4,5,3,1,2]
[3,1,6,2,4,5] => [6,3,1,2,4,5]
[3,1,6,2,5,4] => [5,6,3,1,2,4]
[3,1,6,4,2,5] => [4,6,3,1,2,5]
[3,1,6,4,5,2] => [4,5,6,3,1,2]
[3,1,6,5,2,4] => [5,3,1,2,6,4]
[3,1,6,5,4,2] => [5,4,6,3,1,2]
[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] => [2,4,3,1,5,6]
[3,2,4,1,6,5] => [2,4,3,1,6,5]
[3,2,4,5,1,6] => [2,5,4,3,1,6]
[3,2,4,5,6,1] => [2,6,5,4,3,1]
[3,2,4,6,1,5] => [2,6,4,3,1,5]
[3,2,4,6,5,1] => [2,5,6,4,3,1]
[3,2,5,1,4,6] => [2,5,3,1,4,6]
[3,2,5,1,6,4] => [2,6,5,3,1,4]
[3,2,5,4,1,6] => [2,4,5,3,1,6]
[3,2,5,4,6,1] => [2,4,6,5,3,1]
[3,2,5,6,1,4] => [2,6,3,1,5,4]
[3,2,5,6,4,1] => [2,6,4,5,3,1]
[3,2,6,1,4,5] => [2,6,3,1,4,5]
[3,2,6,1,5,4] => [2,5,6,3,1,4]
[3,2,6,4,1,5] => [2,4,6,3,1,5]
[3,2,6,4,5,1] => [2,4,5,6,3,1]
[3,2,6,5,1,4] => [2,5,3,1,6,4]
[3,2,6,5,4,1] => [2,5,4,6,3,1]
[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] => [5,4,1,3,2,6]
[3,4,1,5,6,2] => [6,5,4,1,3,2]
[3,4,1,6,2,5] => [6,4,1,3,2,5]
[3,4,1,6,5,2] => [5,6,4,1,3,2]
[3,4,2,1,5,6] => [4,2,3,1,5,6]
[3,4,2,1,6,5] => [4,2,3,1,6,5]
[3,4,2,5,1,6] => [5,4,2,3,1,6]
[3,4,2,5,6,1] => [6,5,4,2,3,1]
[3,4,2,6,1,5] => [6,4,2,3,1,5]
[3,4,2,6,5,1] => [5,6,4,2,3,1]
[3,4,5,1,2,6] => [5,1,4,3,2,6]
[3,4,5,1,6,2] => [6,5,1,4,3,2]
[3,4,5,2,1,6] => [5,2,4,3,1,6]
[3,4,5,2,6,1] => [6,5,2,4,3,1]
[3,4,5,6,1,2] => [6,1,5,4,3,2]
[3,4,5,6,2,1] => [6,2,5,4,3,1]
[3,4,6,1,2,5] => [6,1,4,3,2,5]
[3,4,6,1,5,2] => [5,6,1,4,3,2]
[3,4,6,2,1,5] => [6,2,4,3,1,5]
[3,4,6,2,5,1] => [5,6,2,4,3,1]
[3,4,6,5,1,2] => [5,1,6,4,3,2]
[3,4,6,5,2,1] => [5,2,6,4,3,1]
[3,5,1,2,4,6] => [5,1,3,2,4,6]
[3,5,1,2,6,4] => [6,5,1,3,2,4]
[3,5,1,4,2,6] => [4,5,1,3,2,6]
[3,5,1,4,6,2] => [4,6,5,1,3,2]
[3,5,1,6,2,4] => [6,1,3,2,5,4]
[3,5,1,6,4,2] => [6,4,5,1,3,2]
[3,5,2,1,4,6] => [5,2,3,1,4,6]
[3,5,2,1,6,4] => [6,5,2,3,1,4]
[3,5,2,4,1,6] => [4,5,2,3,1,6]
[3,5,2,4,6,1] => [4,6,5,2,3,1]
[3,5,2,6,1,4] => [6,2,3,1,5,4]
[3,5,2,6,4,1] => [6,4,5,2,3,1]
[3,5,4,1,2,6] => [4,1,5,3,2,6]
[3,5,4,1,6,2] => [4,1,6,5,3,2]
[3,5,4,2,1,6] => [4,2,5,3,1,6]
[3,5,4,2,6,1] => [4,2,6,5,3,1]
[3,5,4,6,1,2] => [6,4,1,5,3,2]
[3,5,4,6,2,1] => [6,4,2,5,3,1]
[3,5,6,1,2,4] => [6,1,5,3,2,4]
[3,5,6,1,4,2] => [6,1,4,5,3,2]
[3,5,6,2,1,4] => [6,2,5,3,1,4]
[3,5,6,2,4,1] => [6,2,4,5,3,1]
[3,5,6,4,1,2] => [4,6,1,5,3,2]
[3,5,6,4,2,1] => [4,6,2,5,3,1]
[3,6,1,2,4,5] => [6,1,3,2,4,5]
[3,6,1,2,5,4] => [5,6,1,3,2,4]
[3,6,1,4,2,5] => [4,6,1,3,2,5]
[3,6,1,4,5,2] => [4,5,6,1,3,2]
[3,6,1,5,2,4] => [5,1,3,2,6,4]
[3,6,1,5,4,2] => [5,4,6,1,3,2]
[3,6,2,1,4,5] => [6,2,3,1,4,5]
[3,6,2,1,5,4] => [5,6,2,3,1,4]
[3,6,2,4,1,5] => [4,6,2,3,1,5]
[3,6,2,4,5,1] => [4,5,6,2,3,1]
[3,6,2,5,1,4] => [5,2,3,1,6,4]
[3,6,2,5,4,1] => [5,4,6,2,3,1]
[3,6,4,1,2,5] => [4,1,6,3,2,5]
[3,6,4,1,5,2] => [4,1,5,6,3,2]
[3,6,4,2,1,5] => [4,2,6,3,1,5]
[3,6,4,2,5,1] => [4,2,5,6,3,1]
[3,6,4,5,1,2] => [5,4,1,6,3,2]
[3,6,4,5,2,1] => [5,4,2,6,3,1]
[3,6,5,1,2,4] => [5,1,6,3,2,4]
[3,6,5,1,4,2] => [5,1,4,6,3,2]
[3,6,5,2,1,4] => [5,2,6,3,1,4]
[3,6,5,2,4,1] => [5,2,4,6,3,1]
[3,6,5,4,1,2] => [4,5,1,6,3,2]
[3,6,5,4,2,1] => [4,5,2,6,3,1]
[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] => [5,4,1,2,3,6]
[4,1,2,5,6,3] => [6,5,4,1,2,3]
[4,1,2,6,3,5] => [6,4,1,2,3,5]
[4,1,2,6,5,3] => [5,6,4,1,2,3]
[4,1,3,2,5,6] => [3,4,1,2,5,6]
[4,1,3,2,6,5] => [3,4,1,2,6,5]
[4,1,3,5,2,6] => [3,5,4,1,2,6]
[4,1,3,5,6,2] => [3,6,5,4,1,2]
[4,1,3,6,2,5] => [3,6,4,1,2,5]
[4,1,3,6,5,2] => [3,5,6,4,1,2]
[4,1,5,2,3,6] => [5,1,2,4,3,6]
[4,1,5,2,6,3] => [6,5,1,2,4,3]
[4,1,5,3,2,6] => [5,3,4,1,2,6]
[4,1,5,3,6,2] => [6,5,3,4,1,2]
[4,1,5,6,2,3] => [6,1,2,5,4,3]
[4,1,5,6,3,2] => [6,3,5,4,1,2]
[4,1,6,2,3,5] => [6,1,2,4,3,5]
[4,1,6,2,5,3] => [5,6,1,2,4,3]
[4,1,6,3,2,5] => [6,3,4,1,2,5]
[4,1,6,3,5,2] => [5,6,3,4,1,2]
[4,1,6,5,2,3] => [5,1,2,6,4,3]
[4,1,6,5,3,2] => [5,3,6,4,1,2]
[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] => [2,5,4,1,3,6]
[4,2,1,5,6,3] => [2,6,5,4,1,3]
[4,2,1,6,3,5] => [2,6,4,1,3,5]
[4,2,1,6,5,3] => [2,5,6,4,1,3]
[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] => [2,3,6,5,4,1]
[4,2,3,6,1,5] => [2,3,6,4,1,5]
[4,2,3,6,5,1] => [2,3,5,6,4,1]
[4,2,5,1,3,6] => [2,5,1,4,3,6]
[4,2,5,1,6,3] => [2,6,5,1,4,3]
[4,2,5,3,1,6] => [2,5,3,4,1,6]
[4,2,5,3,6,1] => [2,6,5,3,4,1]
[4,2,5,6,1,3] => [2,6,1,5,4,3]
[4,2,5,6,3,1] => [2,6,3,5,4,1]
[4,2,6,1,3,5] => [2,6,1,4,3,5]
[4,2,6,1,5,3] => [2,5,6,1,4,3]
[4,2,6,3,1,5] => [2,6,3,4,1,5]
[4,2,6,3,5,1] => [2,5,6,3,4,1]
[4,2,6,5,1,3] => [2,5,1,6,4,3]
[4,2,6,5,3,1] => [2,5,3,6,4,1]
[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] => [3,1,5,4,2,6]
[4,3,1,5,6,2] => [3,1,6,5,4,2]
[4,3,1,6,2,5] => [3,1,6,4,2,5]
[4,3,1,6,5,2] => [3,1,5,6,4,2]
[4,3,2,1,5,6] => [3,2,4,1,5,6]
[4,3,2,1,6,5] => [3,2,4,1,6,5]
[4,3,2,5,1,6] => [3,2,5,4,1,6]
[4,3,2,5,6,1] => [3,2,6,5,4,1]
[4,3,2,6,1,5] => [3,2,6,4,1,5]
[4,3,2,6,5,1] => [3,2,5,6,4,1]
[4,3,5,1,2,6] => [5,3,1,4,2,6]
[4,3,5,1,6,2] => [6,5,3,1,4,2]
[4,3,5,2,1,6] => [5,3,2,4,1,6]
[4,3,5,2,6,1] => [6,5,3,2,4,1]
[4,3,5,6,1,2] => [6,3,1,5,4,2]
[4,3,5,6,2,1] => [6,3,2,5,4,1]
[4,3,6,1,2,5] => [6,3,1,4,2,5]
[4,3,6,1,5,2] => [5,6,3,1,4,2]
[4,3,6,2,1,5] => [6,3,2,4,1,5]
[4,3,6,2,5,1] => [5,6,3,2,4,1]
[4,3,6,5,1,2] => [5,3,1,6,4,2]
[4,3,6,5,2,1] => [5,3,2,6,4,1]
[4,5,1,2,3,6] => [5,1,4,2,3,6]
[4,5,1,2,6,3] => [6,5,1,4,2,3]
[4,5,1,3,2,6] => [5,1,3,4,2,6]
[4,5,1,3,6,2] => [6,5,1,3,4,2]
[4,5,1,6,2,3] => [6,1,5,4,2,3]
[4,5,1,6,3,2] => [6,1,3,5,4,2]
[4,5,2,1,3,6] => [5,2,4,1,3,6]
[4,5,2,1,6,3] => [6,5,2,4,1,3]
[4,5,2,3,1,6] => [5,2,3,4,1,6]
[4,5,2,3,6,1] => [6,5,2,3,4,1]
[4,5,2,6,1,3] => [6,2,5,4,1,3]
[4,5,2,6,3,1] => [6,2,3,5,4,1]
[4,5,3,1,2,6] => [3,5,1,4,2,6]
[4,5,3,1,6,2] => [3,6,5,1,4,2]
[4,5,3,2,1,6] => [3,5,2,4,1,6]
[4,5,3,2,6,1] => [3,6,5,2,4,1]
[4,5,3,6,1,2] => [3,6,1,5,4,2]
[4,5,3,6,2,1] => [3,6,2,5,4,1]
[4,5,6,1,2,3] => [6,1,5,2,4,3]
[4,5,6,1,3,2] => [6,1,5,3,4,2]
[4,5,6,2,1,3] => [6,2,5,1,4,3]
[4,5,6,2,3,1] => [6,2,5,3,4,1]
[4,5,6,3,1,2] => [6,3,5,1,4,2]
[4,5,6,3,2,1] => [6,3,5,2,4,1]
[4,6,1,2,3,5] => [6,1,4,2,3,5]
[4,6,1,2,5,3] => [5,6,1,4,2,3]
[4,6,1,3,2,5] => [6,1,3,4,2,5]
[4,6,1,3,5,2] => [5,6,1,3,4,2]
[4,6,1,5,2,3] => [5,1,6,4,2,3]
[4,6,1,5,3,2] => [5,1,3,6,4,2]
[4,6,2,1,3,5] => [6,2,4,1,3,5]
[4,6,2,1,5,3] => [5,6,2,4,1,3]
[4,6,2,3,1,5] => [6,2,3,4,1,5]
[4,6,2,3,5,1] => [5,6,2,3,4,1]
[4,6,2,5,1,3] => [5,2,6,4,1,3]
[4,6,2,5,3,1] => [5,2,3,6,4,1]
[4,6,3,1,2,5] => [3,6,1,4,2,5]
[4,6,3,1,5,2] => [3,5,6,1,4,2]
[4,6,3,2,1,5] => [3,6,2,4,1,5]
[4,6,3,2,5,1] => [3,5,6,2,4,1]
[4,6,3,5,1,2] => [3,5,1,6,4,2]
[4,6,3,5,2,1] => [3,5,2,6,4,1]
[4,6,5,1,2,3] => [5,1,6,2,4,3]
[4,6,5,1,3,2] => [5,1,6,3,4,2]
[4,6,5,2,1,3] => [5,2,6,1,4,3]
[4,6,5,2,3,1] => [5,2,6,3,4,1]
[4,6,5,3,1,2] => [5,3,6,1,4,2]
[4,6,5,3,2,1] => [5,3,6,2,4,1]
[5,1,2,3,4,6] => [5,1,2,3,4,6]
[5,1,2,3,6,4] => [6,5,1,2,3,4]
[5,1,2,4,3,6] => [4,5,1,2,3,6]
[5,1,2,4,6,3] => [4,6,5,1,2,3]
[5,1,2,6,3,4] => [6,1,2,3,5,4]
[5,1,2,6,4,3] => [6,4,5,1,2,3]
[5,1,3,2,4,6] => [3,5,1,2,4,6]
[5,1,3,2,6,4] => [3,6,5,1,2,4]
[5,1,3,4,2,6] => [3,4,5,1,2,6]
[5,1,3,4,6,2] => [3,4,6,5,1,2]
[5,1,3,6,2,4] => [3,6,1,2,5,4]
[5,1,3,6,4,2] => [3,6,4,5,1,2]
[5,1,4,2,3,6] => [4,1,2,5,3,6]
[5,1,4,2,6,3] => [4,1,2,6,5,3]
[5,1,4,3,2,6] => [4,3,5,1,2,6]
[5,1,4,3,6,2] => [4,3,6,5,1,2]
[5,1,4,6,2,3] => [6,4,1,2,5,3]
[5,1,4,6,3,2] => [6,4,3,5,1,2]
[5,1,6,2,3,4] => [6,1,2,5,3,4]
[5,1,6,2,4,3] => [6,1,2,4,5,3]
[5,1,6,3,2,4] => [6,3,5,1,2,4]
[5,1,6,3,4,2] => [6,3,4,5,1,2]
[5,1,6,4,2,3] => [4,6,1,2,5,3]
[5,1,6,4,3,2] => [4,6,3,5,1,2]
[5,2,1,3,4,6] => [2,5,1,3,4,6]
[5,2,1,3,6,4] => [2,6,5,1,3,4]
[5,2,1,4,3,6] => [2,4,5,1,3,6]
[5,2,1,4,6,3] => [2,4,6,5,1,3]
[5,2,1,6,3,4] => [2,6,1,3,5,4]
[5,2,1,6,4,3] => [2,6,4,5,1,3]
[5,2,3,1,4,6] => [2,3,5,1,4,6]
[5,2,3,1,6,4] => [2,3,6,5,1,4]
[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] => [2,3,6,1,5,4]
[5,2,3,6,4,1] => [2,3,6,4,5,1]
[5,2,4,1,3,6] => [2,4,1,5,3,6]
[5,2,4,1,6,3] => [2,4,1,6,5,3]
[5,2,4,3,1,6] => [2,4,3,5,1,6]
[5,2,4,3,6,1] => [2,4,3,6,5,1]
[5,2,4,6,1,3] => [2,6,4,1,5,3]
[5,2,4,6,3,1] => [2,6,4,3,5,1]
[5,2,6,1,3,4] => [2,6,1,5,3,4]
[5,2,6,1,4,3] => [2,6,1,4,5,3]
[5,2,6,3,1,4] => [2,6,3,5,1,4]
[5,2,6,3,4,1] => [2,6,3,4,5,1]
[5,2,6,4,1,3] => [2,4,6,1,5,3]
[5,2,6,4,3,1] => [2,4,6,3,5,1]
[5,3,1,2,4,6] => [3,1,5,2,4,6]
[5,3,1,2,6,4] => [3,1,6,5,2,4]
[5,3,1,4,2,6] => [3,1,4,5,2,6]
[5,3,1,4,6,2] => [3,1,4,6,5,2]
[5,3,1,6,2,4] => [3,1,6,2,5,4]
[5,3,1,6,4,2] => [3,1,6,4,5,2]
[5,3,2,1,4,6] => [3,2,5,1,4,6]
[5,3,2,1,6,4] => [3,2,6,5,1,4]
[5,3,2,4,1,6] => [3,2,4,5,1,6]
[5,3,2,4,6,1] => [3,2,4,6,5,1]
[5,3,2,6,1,4] => [3,2,6,1,5,4]
[5,3,2,6,4,1] => [3,2,6,4,5,1]
[5,3,4,1,2,6] => [4,3,1,5,2,6]
[5,3,4,1,6,2] => [4,3,1,6,5,2]
[5,3,4,2,1,6] => [4,3,2,5,1,6]
[5,3,4,2,6,1] => [4,3,2,6,5,1]
[5,3,4,6,1,2] => [6,4,3,1,5,2]
[5,3,4,6,2,1] => [6,4,3,2,5,1]
[5,3,6,1,2,4] => [6,3,1,5,2,4]
[5,3,6,1,4,2] => [6,3,1,4,5,2]
[5,3,6,2,1,4] => [6,3,2,5,1,4]
[5,3,6,2,4,1] => [6,3,2,4,5,1]
[5,3,6,4,1,2] => [4,6,3,1,5,2]
[5,3,6,4,2,1] => [4,6,3,2,5,1]
[5,4,1,2,3,6] => [4,1,5,2,3,6]
[5,4,1,2,6,3] => [4,1,6,5,2,3]
[5,4,1,3,2,6] => [4,1,3,5,2,6]
[5,4,1,3,6,2] => [4,1,3,6,5,2]
[5,4,1,6,2,3] => [6,4,1,5,2,3]
[5,4,1,6,3,2] => [6,4,1,3,5,2]
[5,4,2,1,3,6] => [4,2,5,1,3,6]
[5,4,2,1,6,3] => [4,2,6,5,1,3]
[5,4,2,3,1,6] => [4,2,3,5,1,6]
[5,4,2,3,6,1] => [4,2,3,6,5,1]
[5,4,2,6,1,3] => [6,4,2,5,1,3]
[5,4,2,6,3,1] => [6,4,2,3,5,1]
[5,4,3,1,2,6] => [3,4,1,5,2,6]
[5,4,3,1,6,2] => [3,4,1,6,5,2]
[5,4,3,2,1,6] => [3,4,2,5,1,6]
[5,4,3,2,6,1] => [3,4,2,6,5,1]
[5,4,3,6,1,2] => [3,6,4,1,5,2]
[5,4,3,6,2,1] => [3,6,4,2,5,1]
[5,4,6,1,2,3] => [6,1,4,2,5,3]
[5,4,6,1,3,2] => [6,1,4,3,5,2]
[5,4,6,2,1,3] => [6,2,4,1,5,3]
[5,4,6,2,3,1] => [6,2,4,3,5,1]
[5,4,6,3,1,2] => [6,3,4,1,5,2]
[5,4,6,3,2,1] => [6,3,4,2,5,1]
[5,6,1,2,3,4] => [6,1,5,2,3,4]
[5,6,1,2,4,3] => [6,1,4,5,2,3]
[5,6,1,3,2,4] => [6,1,3,5,2,4]
[5,6,1,3,4,2] => [6,1,3,4,5,2]
[5,6,1,4,2,3] => [4,6,1,5,2,3]
[5,6,1,4,3,2] => [4,6,1,3,5,2]
[5,6,2,1,3,4] => [6,2,5,1,3,4]
[5,6,2,1,4,3] => [6,2,4,5,1,3]
[5,6,2,3,1,4] => [6,2,3,5,1,4]
[5,6,2,3,4,1] => [6,2,3,4,5,1]
[5,6,2,4,1,3] => [4,6,2,5,1,3]
[5,6,2,4,3,1] => [4,6,2,3,5,1]
[5,6,3,1,2,4] => [3,6,1,5,2,4]
[5,6,3,1,4,2] => [3,6,1,4,5,2]
[5,6,3,2,1,4] => [3,6,2,5,1,4]
[5,6,3,2,4,1] => [3,6,2,4,5,1]
[5,6,3,4,1,2] => [3,4,6,1,5,2]
[5,6,3,4,2,1] => [3,4,6,2,5,1]
[5,6,4,1,2,3] => [4,1,6,2,5,3]
[5,6,4,1,3,2] => [4,1,6,3,5,2]
[5,6,4,2,1,3] => [4,2,6,1,5,3]
[5,6,4,2,3,1] => [4,2,6,3,5,1]
[5,6,4,3,1,2] => [4,3,6,1,5,2]
[5,6,4,3,2,1] => [4,3,6,2,5,1]
[6,1,2,3,4,5] => [6,1,2,3,4,5]
[6,1,2,3,5,4] => [5,6,1,2,3,4]
[6,1,2,4,3,5] => [4,6,1,2,3,5]
[6,1,2,4,5,3] => [4,5,6,1,2,3]
[6,1,2,5,3,4] => [5,1,2,3,6,4]
[6,1,2,5,4,3] => [5,4,6,1,2,3]
[6,1,3,2,4,5] => [3,6,1,2,4,5]
[6,1,3,2,5,4] => [3,5,6,1,2,4]
[6,1,3,4,2,5] => [3,4,6,1,2,5]
[6,1,3,4,5,2] => [3,4,5,6,1,2]
[6,1,3,5,2,4] => [3,5,1,2,6,4]
[6,1,3,5,4,2] => [3,5,4,6,1,2]
[6,1,4,2,3,5] => [4,1,2,6,3,5]
[6,1,4,2,5,3] => [4,1,2,5,6,3]
[6,1,4,3,2,5] => [4,3,6,1,2,5]
[6,1,4,3,5,2] => [4,3,5,6,1,2]
[6,1,4,5,2,3] => [5,4,1,2,6,3]
[6,1,4,5,3,2] => [5,4,3,6,1,2]
[6,1,5,2,3,4] => [5,1,2,6,3,4]
[6,1,5,2,4,3] => [5,1,2,4,6,3]
[6,1,5,3,2,4] => [5,3,6,1,2,4]
[6,1,5,3,4,2] => [5,3,4,6,1,2]
[6,1,5,4,2,3] => [4,5,1,2,6,3]
[6,1,5,4,3,2] => [4,5,3,6,1,2]
[6,2,1,3,4,5] => [2,6,1,3,4,5]
[6,2,1,3,5,4] => [2,5,6,1,3,4]
[6,2,1,4,3,5] => [2,4,6,1,3,5]
[6,2,1,4,5,3] => [2,4,5,6,1,3]
[6,2,1,5,3,4] => [2,5,1,3,6,4]
[6,2,1,5,4,3] => [2,5,4,6,1,3]
[6,2,3,1,4,5] => [2,3,6,1,4,5]
[6,2,3,1,5,4] => [2,3,5,6,1,4]
[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] => [2,3,5,1,6,4]
[6,2,3,5,4,1] => [2,3,5,4,6,1]
[6,2,4,1,3,5] => [2,4,1,6,3,5]
[6,2,4,1,5,3] => [2,4,1,5,6,3]
[6,2,4,3,1,5] => [2,4,3,6,1,5]
[6,2,4,3,5,1] => [2,4,3,5,6,1]
[6,2,4,5,1,3] => [2,5,4,1,6,3]
[6,2,4,5,3,1] => [2,5,4,3,6,1]
[6,2,5,1,3,4] => [2,5,1,6,3,4]
[6,2,5,1,4,3] => [2,5,1,4,6,3]
[6,2,5,3,1,4] => [2,5,3,6,1,4]
[6,2,5,3,4,1] => [2,5,3,4,6,1]
[6,2,5,4,1,3] => [2,4,5,1,6,3]
[6,2,5,4,3,1] => [2,4,5,3,6,1]
[6,3,1,2,4,5] => [3,1,6,2,4,5]
[6,3,1,2,5,4] => [3,1,5,6,2,4]
[6,3,1,4,2,5] => [3,1,4,6,2,5]
[6,3,1,4,5,2] => [3,1,4,5,6,2]
[6,3,1,5,2,4] => [3,1,5,2,6,4]
[6,3,1,5,4,2] => [3,1,5,4,6,2]
[6,3,2,1,4,5] => [3,2,6,1,4,5]
[6,3,2,1,5,4] => [3,2,5,6,1,4]
[6,3,2,4,1,5] => [3,2,4,6,1,5]
[6,3,2,4,5,1] => [3,2,4,5,6,1]
[6,3,2,5,1,4] => [3,2,5,1,6,4]
[6,3,2,5,4,1] => [3,2,5,4,6,1]
[6,3,4,1,2,5] => [4,3,1,6,2,5]
[6,3,4,1,5,2] => [4,3,1,5,6,2]
[6,3,4,2,1,5] => [4,3,2,6,1,5]
[6,3,4,2,5,1] => [4,3,2,5,6,1]
[6,3,4,5,1,2] => [5,4,3,1,6,2]
[6,3,4,5,2,1] => [5,4,3,2,6,1]
[6,3,5,1,2,4] => [5,3,1,6,2,4]
[6,3,5,1,4,2] => [5,3,1,4,6,2]
[6,3,5,2,1,4] => [5,3,2,6,1,4]
[6,3,5,2,4,1] => [5,3,2,4,6,1]
[6,3,5,4,1,2] => [4,5,3,1,6,2]
[6,3,5,4,2,1] => [4,5,3,2,6,1]
[6,4,1,2,3,5] => [4,1,6,2,3,5]
[6,4,1,2,5,3] => [4,1,5,6,2,3]
[6,4,1,3,2,5] => [4,1,3,6,2,5]
[6,4,1,3,5,2] => [4,1,3,5,6,2]
[6,4,1,5,2,3] => [5,4,1,6,2,3]
[6,4,1,5,3,2] => [5,4,1,3,6,2]
[6,4,2,1,3,5] => [4,2,6,1,3,5]
[6,4,2,1,5,3] => [4,2,5,6,1,3]
[6,4,2,3,1,5] => [4,2,3,6,1,5]
[6,4,2,3,5,1] => [4,2,3,5,6,1]
[6,4,2,5,1,3] => [5,4,2,6,1,3]
[6,4,2,5,3,1] => [5,4,2,3,6,1]
[6,4,3,1,2,5] => [3,4,1,6,2,5]
[6,4,3,1,5,2] => [3,4,1,5,6,2]
[6,4,3,2,1,5] => [3,4,2,6,1,5]
[6,4,3,2,5,1] => [3,4,2,5,6,1]
[6,4,3,5,1,2] => [3,5,4,1,6,2]
[6,4,3,5,2,1] => [3,5,4,2,6,1]
[6,4,5,1,2,3] => [5,1,4,2,6,3]
[6,4,5,1,3,2] => [5,1,4,3,6,2]
[6,4,5,2,1,3] => [5,2,4,1,6,3]
[6,4,5,2,3,1] => [5,2,4,3,6,1]
[6,4,5,3,1,2] => [5,3,4,1,6,2]
[6,4,5,3,2,1] => [5,3,4,2,6,1]
[6,5,1,2,3,4] => [5,1,6,2,3,4]
[6,5,1,2,4,3] => [5,1,4,6,2,3]
[6,5,1,3,2,4] => [5,1,3,6,2,4]
[6,5,1,3,4,2] => [5,1,3,4,6,2]
[6,5,1,4,2,3] => [4,5,1,6,2,3]
[6,5,1,4,3,2] => [4,5,1,3,6,2]
[6,5,2,1,3,4] => [5,2,6,1,3,4]
[6,5,2,1,4,3] => [5,2,4,6,1,3]
[6,5,2,3,1,4] => [5,2,3,6,1,4]
[6,5,2,3,4,1] => [5,2,3,4,6,1]
[6,5,2,4,1,3] => [4,5,2,6,1,3]
[6,5,2,4,3,1] => [4,5,2,3,6,1]
[6,5,3,1,2,4] => [3,5,1,6,2,4]
[6,5,3,1,4,2] => [3,5,1,4,6,2]
[6,5,3,2,1,4] => [3,5,2,6,1,4]
[6,5,3,2,4,1] => [3,5,2,4,6,1]
[6,5,3,4,1,2] => [3,4,5,1,6,2]
[6,5,3,4,2,1] => [3,4,5,2,6,1]
[6,5,4,1,2,3] => [4,1,5,2,6,3]
[6,5,4,1,3,2] => [4,1,5,3,6,2]
[6,5,4,2,1,3] => [4,2,5,1,6,3]
[6,5,4,2,3,1] => [4,2,5,3,6,1]
[6,5,4,3,1,2] => [4,3,5,1,6,2]
[6,5,4,3,2,1] => [4,3,5,2,6,1]
[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] => [1,2,3,7,6,5,4]
[1,2,3,5,7,4,6] => [1,2,3,7,5,4,6]
[1,2,3,5,7,6,4] => [1,2,3,6,7,5,4]
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7]
[1,2,3,6,4,7,5] => [1,2,3,7,6,4,5]
[1,2,3,6,5,4,7] => [1,2,3,5,6,4,7]
[1,2,3,6,5,7,4] => [1,2,3,5,7,6,4]
[1,2,3,6,7,4,5] => [1,2,3,7,4,6,5]
[1,2,3,6,7,5,4] => [1,2,3,7,5,6,4]
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6]
[1,2,3,7,4,6,5] => [1,2,3,6,7,4,5]
[1,2,3,7,5,4,6] => [1,2,3,5,7,4,6]
[1,2,3,7,5,6,4] => [1,2,3,5,6,7,4]
[1,2,3,7,6,4,5] => [1,2,3,6,4,7,5]
[1,2,3,7,6,5,4] => [1,2,3,6,5,7,4]
[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] => [1,2,6,5,4,3,7]
[1,2,4,5,6,7,3] => [1,2,7,6,5,4,3]
[1,2,4,5,7,3,6] => [1,2,7,5,4,3,6]
[1,2,4,5,7,6,3] => [1,2,6,7,5,4,3]
[1,2,4,6,3,5,7] => [1,2,6,4,3,5,7]
[1,2,4,6,3,7,5] => [1,2,7,6,4,3,5]
[1,2,4,6,5,3,7] => [1,2,5,6,4,3,7]
[1,2,4,6,5,7,3] => [1,2,5,7,6,4,3]
[1,2,4,6,7,3,5] => [1,2,7,4,3,6,5]
[1,2,4,6,7,5,3] => [1,2,7,5,6,4,3]
[1,2,4,7,3,5,6] => [1,2,7,4,3,5,6]
[1,2,4,7,3,6,5] => [1,2,6,7,4,3,5]
[1,2,4,7,5,3,6] => [1,2,5,7,4,3,6]
[1,2,4,7,5,6,3] => [1,2,5,6,7,4,3]
[1,2,4,7,6,3,5] => [1,2,6,4,3,7,5]
[1,2,4,7,6,5,3] => [1,2,6,5,7,4,3]
[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] => [1,2,6,5,3,4,7]
[1,2,5,3,6,7,4] => [1,2,7,6,5,3,4]
[1,2,5,3,7,4,6] => [1,2,7,5,3,4,6]
[1,2,5,3,7,6,4] => [1,2,6,7,5,3,4]
[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] => [1,2,4,7,6,5,3]
[1,2,5,4,7,3,6] => [1,2,4,7,5,3,6]
[1,2,5,4,7,6,3] => [1,2,4,6,7,5,3]
[1,2,5,6,3,4,7] => [1,2,6,3,5,4,7]
[1,2,5,6,3,7,4] => [1,2,7,6,3,5,4]
[1,2,5,6,4,3,7] => [1,2,6,4,5,3,7]
[1,2,5,6,4,7,3] => [1,2,7,6,4,5,3]
[1,2,5,6,7,3,4] => [1,2,7,3,6,5,4]
[1,2,5,6,7,4,3] => [1,2,7,4,6,5,3]
[1,2,5,7,3,4,6] => [1,2,7,3,5,4,6]
[1,2,5,7,3,6,4] => [1,2,6,7,3,5,4]
[1,2,5,7,4,3,6] => [1,2,7,4,5,3,6]
[1,2,5,7,4,6,3] => [1,2,6,7,4,5,3]
[1,2,5,7,6,3,4] => [1,2,6,3,7,5,4]
[1,2,5,7,6,4,3] => [1,2,6,4,7,5,3]
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7]
[1,2,6,3,4,7,5] => [1,2,7,6,3,4,5]
[1,2,6,3,5,4,7] => [1,2,5,6,3,4,7]
[1,2,6,3,5,7,4] => [1,2,5,7,6,3,4]
[1,2,6,3,7,4,5] => [1,2,7,3,4,6,5]
[1,2,6,3,7,5,4] => [1,2,7,5,6,3,4]
[1,2,6,4,3,5,7] => [1,2,4,6,3,5,7]
[1,2,6,4,3,7,5] => [1,2,4,7,6,3,5]
[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] => [1,2,4,7,3,6,5]
[1,2,6,4,7,5,3] => [1,2,4,7,5,6,3]
[1,2,6,5,3,4,7] => [1,2,5,3,6,4,7]
[1,2,6,5,3,7,4] => [1,2,5,3,7,6,4]
[1,2,6,5,4,3,7] => [1,2,5,4,6,3,7]
[1,2,6,5,4,7,3] => [1,2,5,4,7,6,3]
[1,2,6,5,7,3,4] => [1,2,7,5,3,6,4]
[1,2,6,5,7,4,3] => [1,2,7,5,4,6,3]
[1,2,6,7,3,4,5] => [1,2,7,3,6,4,5]
[1,2,6,7,3,5,4] => [1,2,7,3,5,6,4]
[1,2,6,7,4,3,5] => [1,2,7,4,6,3,5]
[1,2,6,7,4,5,3] => [1,2,7,4,5,6,3]
[1,2,6,7,5,3,4] => [1,2,5,7,3,6,4]
[1,2,6,7,5,4,3] => [1,2,5,7,4,6,3]
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6]
[1,2,7,3,4,6,5] => [1,2,6,7,3,4,5]
[1,2,7,3,5,4,6] => [1,2,5,7,3,4,6]
[1,2,7,3,5,6,4] => [1,2,5,6,7,3,4]
[1,2,7,3,6,4,5] => [1,2,6,3,4,7,5]
[1,2,7,3,6,5,4] => [1,2,6,5,7,3,4]
[1,2,7,4,3,5,6] => [1,2,4,7,3,5,6]
[1,2,7,4,3,6,5] => [1,2,4,6,7,3,5]
[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] => [1,2,4,6,3,7,5]
[1,2,7,4,6,5,3] => [1,2,4,6,5,7,3]
[1,2,7,5,3,4,6] => [1,2,5,3,7,4,6]
[1,2,7,5,3,6,4] => [1,2,5,3,6,7,4]
[1,2,7,5,4,3,6] => [1,2,5,4,7,3,6]
[1,2,7,5,4,6,3] => [1,2,5,4,6,7,3]
[1,2,7,5,6,3,4] => [1,2,6,5,3,7,4]
[1,2,7,5,6,4,3] => [1,2,6,5,4,7,3]
[1,2,7,6,3,4,5] => [1,2,6,3,7,4,5]
[1,2,7,6,3,5,4] => [1,2,6,3,5,7,4]
[1,2,7,6,4,3,5] => [1,2,6,4,7,3,5]
[1,2,7,6,4,5,3] => [1,2,6,4,5,7,3]
[1,2,7,6,5,3,4] => [1,2,5,6,3,7,4]
[1,2,7,6,5,4,3] => [1,2,5,6,4,7,3]
[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] => [1,3,2,7,6,5,4]
[1,3,2,5,7,4,6] => [1,3,2,7,5,4,6]
[1,3,2,5,7,6,4] => [1,3,2,6,7,5,4]
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7]
[1,3,2,6,4,7,5] => [1,3,2,7,6,4,5]
[1,3,2,6,5,4,7] => [1,3,2,5,6,4,7]
[1,3,2,6,5,7,4] => [1,3,2,5,7,6,4]
[1,3,2,6,7,4,5] => [1,3,2,7,4,6,5]
[1,3,2,6,7,5,4] => [1,3,2,7,5,6,4]
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6]
[1,3,2,7,4,6,5] => [1,3,2,6,7,4,5]
[1,3,2,7,5,4,6] => [1,3,2,5,7,4,6]
[1,3,2,7,5,6,4] => [1,3,2,5,6,7,4]
[1,3,2,7,6,4,5] => [1,3,2,6,4,7,5]
[1,3,2,7,6,5,4] => [1,3,2,6,5,7,4]
[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] => [1,5,4,3,2,6,7]
[1,3,4,5,2,7,6] => [1,5,4,3,2,7,6]
[1,3,4,5,6,2,7] => [1,6,5,4,3,2,7]
[1,3,4,5,6,7,2] => [1,7,6,5,4,3,2]
[1,3,4,5,7,2,6] => [1,7,5,4,3,2,6]
[1,3,4,5,7,6,2] => [1,6,7,5,4,3,2]
[1,3,4,6,2,5,7] => [1,6,4,3,2,5,7]
[1,3,4,6,2,7,5] => [1,7,6,4,3,2,5]
[1,3,4,6,5,2,7] => [1,5,6,4,3,2,7]
[1,3,4,6,5,7,2] => [1,5,7,6,4,3,2]
[1,3,4,6,7,2,5] => [1,7,4,3,2,6,5]
[1,3,4,6,7,5,2] => [1,7,5,6,4,3,2]
[1,3,4,7,2,5,6] => [1,7,4,3,2,5,6]
[1,3,4,7,2,6,5] => [1,6,7,4,3,2,5]
[1,3,4,7,5,2,6] => [1,5,7,4,3,2,6]
[1,3,4,7,5,6,2] => [1,5,6,7,4,3,2]
[1,3,4,7,6,2,5] => [1,6,4,3,2,7,5]
[1,3,4,7,6,5,2] => [1,6,5,7,4,3,2]
[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] => [1,6,5,3,2,4,7]
[1,3,5,2,6,7,4] => [1,7,6,5,3,2,4]
[1,3,5,2,7,4,6] => [1,7,5,3,2,4,6]
[1,3,5,2,7,6,4] => [1,6,7,5,3,2,4]
[1,3,5,4,2,6,7] => [1,4,5,3,2,6,7]
[1,3,5,4,2,7,6] => [1,4,5,3,2,7,6]
[1,3,5,4,6,2,7] => [1,4,6,5,3,2,7]
[1,3,5,4,6,7,2] => [1,4,7,6,5,3,2]
[1,3,5,4,7,2,6] => [1,4,7,5,3,2,6]
[1,3,5,4,7,6,2] => [1,4,6,7,5,3,2]
[1,3,5,6,2,4,7] => [1,6,3,2,5,4,7]
[1,3,5,6,2,7,4] => [1,7,6,3,2,5,4]
[1,3,5,6,4,2,7] => [1,6,4,5,3,2,7]
[1,3,5,6,4,7,2] => [1,7,6,4,5,3,2]
[1,3,5,6,7,2,4] => [1,7,3,2,6,5,4]
[1,3,5,6,7,4,2] => [1,7,4,6,5,3,2]
[1,3,5,7,2,4,6] => [1,7,3,2,5,4,6]
[1,3,5,7,2,6,4] => [1,6,7,3,2,5,4]
[1,3,5,7,4,2,6] => [1,7,4,5,3,2,6]
[1,3,5,7,4,6,2] => [1,6,7,4,5,3,2]
[1,3,5,7,6,2,4] => [1,6,3,2,7,5,4]
[1,3,5,7,6,4,2] => [1,6,4,7,5,3,2]
[1,3,6,2,4,5,7] => [1,6,3,2,4,5,7]
[1,3,6,2,4,7,5] => [1,7,6,3,2,4,5]
[1,3,6,2,5,4,7] => [1,5,6,3,2,4,7]
[1,3,6,2,5,7,4] => [1,5,7,6,3,2,4]
[1,3,6,2,7,4,5] => [1,7,3,2,4,6,5]
[1,3,6,2,7,5,4] => [1,7,5,6,3,2,4]
[1,3,6,4,2,5,7] => [1,4,6,3,2,5,7]
[1,3,6,4,2,7,5] => [1,4,7,6,3,2,5]
[1,3,6,4,5,2,7] => [1,4,5,6,3,2,7]
[1,3,6,4,5,7,2] => [1,4,5,7,6,3,2]
[1,3,6,4,7,2,5] => [1,4,7,3,2,6,5]
[1,3,6,4,7,5,2] => [1,4,7,5,6,3,2]
[1,3,6,5,2,4,7] => [1,5,3,2,6,4,7]
[1,3,6,5,2,7,4] => [1,5,3,2,7,6,4]
[1,3,6,5,4,2,7] => [1,5,4,6,3,2,7]
[1,3,6,5,4,7,2] => [1,5,4,7,6,3,2]
[1,3,6,5,7,2,4] => [1,7,5,3,2,6,4]
[1,3,6,5,7,4,2] => [1,7,5,4,6,3,2]
[1,3,6,7,2,4,5] => [1,7,3,2,6,4,5]
[1,3,6,7,2,5,4] => [1,7,3,2,5,6,4]
[1,3,6,7,4,2,5] => [1,7,4,6,3,2,5]
[1,3,6,7,4,5,2] => [1,7,4,5,6,3,2]
[1,3,6,7,5,2,4] => [1,5,7,3,2,6,4]
[1,3,6,7,5,4,2] => [1,5,7,4,6,3,2]
[1,3,7,2,4,5,6] => [1,7,3,2,4,5,6]
[1,3,7,2,4,6,5] => [1,6,7,3,2,4,5]
[1,3,7,2,5,4,6] => [1,5,7,3,2,4,6]
[1,3,7,2,5,6,4] => [1,5,6,7,3,2,4]
[1,3,7,2,6,4,5] => [1,6,3,2,4,7,5]
[1,3,7,2,6,5,4] => [1,6,5,7,3,2,4]
[1,3,7,4,2,5,6] => [1,4,7,3,2,5,6]
[1,3,7,4,2,6,5] => [1,4,6,7,3,2,5]
[1,3,7,4,5,2,6] => [1,4,5,7,3,2,6]
[1,3,7,4,5,6,2] => [1,4,5,6,7,3,2]
[1,3,7,4,6,2,5] => [1,4,6,3,2,7,5]
[1,3,7,4,6,5,2] => [1,4,6,5,7,3,2]
[1,3,7,5,2,4,6] => [1,5,3,2,7,4,6]
[1,3,7,5,2,6,4] => [1,5,3,2,6,7,4]
[1,3,7,5,4,2,6] => [1,5,4,7,3,2,6]
[1,3,7,5,4,6,2] => [1,5,4,6,7,3,2]
[1,3,7,5,6,2,4] => [1,6,5,3,2,7,4]
[1,3,7,5,6,4,2] => [1,6,5,4,7,3,2]
[1,3,7,6,2,4,5] => [1,6,3,2,7,4,5]
[1,3,7,6,2,5,4] => [1,6,3,2,5,7,4]
[1,3,7,6,4,2,5] => [1,6,4,7,3,2,5]
[1,3,7,6,4,5,2] => [1,6,4,5,7,3,2]
[1,3,7,6,5,2,4] => [1,5,6,3,2,7,4]
[1,3,7,6,5,4,2] => [1,5,6,4,7,3,2]
[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] => [1,5,4,2,3,6,7]
[1,4,2,5,3,7,6] => [1,5,4,2,3,7,6]
[1,4,2,5,6,3,7] => [1,6,5,4,2,3,7]
[1,4,2,5,6,7,3] => [1,7,6,5,4,2,3]
[1,4,2,5,7,3,6] => [1,7,5,4,2,3,6]
[1,4,2,5,7,6,3] => [1,6,7,5,4,2,3]
[1,4,2,6,3,5,7] => [1,6,4,2,3,5,7]
[1,4,2,6,3,7,5] => [1,7,6,4,2,3,5]
[1,4,2,6,5,3,7] => [1,5,6,4,2,3,7]
[1,4,2,6,5,7,3] => [1,5,7,6,4,2,3]
[1,4,2,6,7,3,5] => [1,7,4,2,3,6,5]
[1,4,2,6,7,5,3] => [1,7,5,6,4,2,3]
[1,4,2,7,3,5,6] => [1,7,4,2,3,5,6]
[1,4,2,7,3,6,5] => [1,6,7,4,2,3,5]
[1,4,2,7,5,3,6] => [1,5,7,4,2,3,6]
[1,4,2,7,5,6,3] => [1,5,6,7,4,2,3]
[1,4,2,7,6,3,5] => [1,6,4,2,3,7,5]
[1,4,2,7,6,5,3] => [1,6,5,7,4,2,3]
[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] => [1,3,5,4,2,6,7]
[1,4,3,5,2,7,6] => [1,3,5,4,2,7,6]
[1,4,3,5,6,2,7] => [1,3,6,5,4,2,7]
[1,4,3,5,6,7,2] => [1,3,7,6,5,4,2]
[1,4,3,5,7,2,6] => [1,3,7,5,4,2,6]
[1,4,3,5,7,6,2] => [1,3,6,7,5,4,2]
[1,4,3,6,2,5,7] => [1,3,6,4,2,5,7]
[1,4,3,6,2,7,5] => [1,3,7,6,4,2,5]
[1,4,3,6,5,2,7] => [1,3,5,6,4,2,7]
[1,4,3,6,5,7,2] => [1,3,5,7,6,4,2]
[1,4,3,6,7,2,5] => [1,3,7,4,2,6,5]
[1,4,3,6,7,5,2] => [1,3,7,5,6,4,2]
[1,4,3,7,2,5,6] => [1,3,7,4,2,5,6]
[1,4,3,7,2,6,5] => [1,3,6,7,4,2,5]
[1,4,3,7,5,2,6] => [1,3,5,7,4,2,6]
[1,4,3,7,5,6,2] => [1,3,5,6,7,4,2]
[1,4,3,7,6,2,5] => [1,3,6,4,2,7,5]
[1,4,3,7,6,5,2] => [1,3,6,5,7,4,2]
[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] => [1,6,5,2,4,3,7]
[1,4,5,2,6,7,3] => [1,7,6,5,2,4,3]
[1,4,5,2,7,3,6] => [1,7,5,2,4,3,6]
[1,4,5,2,7,6,3] => [1,6,7,5,2,4,3]
[1,4,5,3,2,6,7] => [1,5,3,4,2,6,7]
[1,4,5,3,2,7,6] => [1,5,3,4,2,7,6]
[1,4,5,3,6,2,7] => [1,6,5,3,4,2,7]
[1,4,5,3,6,7,2] => [1,7,6,5,3,4,2]
[1,4,5,3,7,2,6] => [1,7,5,3,4,2,6]
[1,4,5,3,7,6,2] => [1,6,7,5,3,4,2]
[1,4,5,6,2,3,7] => [1,6,2,5,4,3,7]
[1,4,5,6,2,7,3] => [1,7,6,2,5,4,3]
[1,4,5,6,3,2,7] => [1,6,3,5,4,2,7]
[1,4,5,6,3,7,2] => [1,7,6,3,5,4,2]
[1,4,5,6,7,2,3] => [1,7,2,6,5,4,3]
[1,4,5,6,7,3,2] => [1,7,3,6,5,4,2]
[1,4,5,7,2,3,6] => [1,7,2,5,4,3,6]
[1,4,5,7,2,6,3] => [1,6,7,2,5,4,3]
[1,4,5,7,3,2,6] => [1,7,3,5,4,2,6]
[1,4,5,7,3,6,2] => [1,6,7,3,5,4,2]
[1,4,5,7,6,2,3] => [1,6,2,7,5,4,3]
[1,4,5,7,6,3,2] => [1,6,3,7,5,4,2]
[1,4,6,2,3,5,7] => [1,6,2,4,3,5,7]
[1,4,6,2,3,7,5] => [1,7,6,2,4,3,5]
[1,4,6,2,5,3,7] => [1,5,6,2,4,3,7]
[1,4,6,2,5,7,3] => [1,5,7,6,2,4,3]
[1,4,6,2,7,3,5] => [1,7,2,4,3,6,5]
[1,4,6,2,7,5,3] => [1,7,5,6,2,4,3]
[1,4,6,3,2,5,7] => [1,6,3,4,2,5,7]
[1,4,6,3,2,7,5] => [1,7,6,3,4,2,5]
[1,4,6,3,5,2,7] => [1,5,6,3,4,2,7]
[1,4,6,3,5,7,2] => [1,5,7,6,3,4,2]
[1,4,6,3,7,2,5] => [1,7,3,4,2,6,5]
[1,4,6,3,7,5,2] => [1,7,5,6,3,4,2]
[1,4,6,5,2,3,7] => [1,5,2,6,4,3,7]
[1,4,6,5,2,7,3] => [1,5,2,7,6,4,3]
[1,4,6,5,3,2,7] => [1,5,3,6,4,2,7]
-----------------------------------------------------------------------------
Created: Sep 21, 2021 at 12:09 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Sep 21, 2021 at 12:09 by Martin Rubey