************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 The FindStatCrew * * * * 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: 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 ----------------------------------------------------------------------------- Last Updated: Jan 29, 2025 at 16:50 by Martin Rubey