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* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
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* 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. *
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------------------------------------------------------------------------
Map identifier: Mp00062
------------------------------------------------------------------------
Map name: Lehmer-code to major-code bijection
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The '''Lehmer code''' of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The '''major code''' $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(elt):
from sage.combinat.permutation import from_major_code
return from_major_code(elt.to_lehmer_code())
------------------------------------------------------------------------
Map images:
[1] => [1]
[1,2] => [1,2]
[2,1] => [2,1]
[1,2,3] => [1,2,3]
[1,3,2] => [3,1,2]
[2,1,3] => [2,1,3]
[2,3,1] => [1,3,2]
[3,1,2] => [2,3,1]
[3,2,1] => [3,2,1]
[1,2,3,4] => [1,2,3,4]
[1,2,4,3] => [4,1,2,3]
[1,3,2,4] => [3,1,2,4]
[1,3,4,2] => [2,4,1,3]
[1,4,2,3] => [3,4,1,2]
[1,4,3,2] => [4,3,1,2]
[2,1,3,4] => [2,1,3,4]
[2,1,4,3] => [1,4,2,3]
[2,3,1,4] => [1,3,2,4]
[2,3,4,1] => [1,2,4,3]
[2,4,1,3] => [1,3,4,2]
[2,4,3,1] => [4,1,3,2]
[3,1,2,4] => [2,3,1,4]
[3,1,4,2] => [4,2,1,3]
[3,2,1,4] => [3,2,1,4]
[3,2,4,1] => [2,1,4,3]
[3,4,1,2] => [3,1,4,2]
[3,4,2,1] => [1,4,3,2]
[4,1,2,3] => [2,3,4,1]
[4,1,3,2] => [4,2,3,1]
[4,2,1,3] => [3,2,4,1]
[4,2,3,1] => [2,4,3,1]
[4,3,1,2] => [3,4,2,1]
[4,3,2,1] => [4,3,2,1]
[1,2,3,4,5] => [1,2,3,4,5]
[1,2,3,5,4] => [5,1,2,3,4]
[1,2,4,3,5] => [4,1,2,3,5]
[1,2,4,5,3] => [3,5,1,2,4]
[1,2,5,3,4] => [4,5,1,2,3]
[1,2,5,4,3] => [5,4,1,2,3]
[1,3,2,4,5] => [3,1,2,4,5]
[1,3,2,5,4] => [2,5,1,3,4]
[1,3,4,2,5] => [2,4,1,3,5]
[1,3,4,5,2] => [2,3,5,1,4]
[1,3,5,2,4] => [2,4,5,1,3]
[1,3,5,4,2] => [5,2,4,1,3]
[1,4,2,3,5] => [3,4,1,2,5]
[1,4,2,5,3] => [5,3,1,2,4]
[1,4,3,2,5] => [4,3,1,2,5]
[1,4,3,5,2] => [3,2,5,1,4]
[1,4,5,2,3] => [4,2,5,1,3]
[1,4,5,3,2] => [2,5,4,1,3]
[1,5,2,3,4] => [3,4,5,1,2]
[1,5,2,4,3] => [5,3,4,1,2]
[1,5,3,2,4] => [4,3,5,1,2]
[1,5,3,4,2] => [3,5,4,1,2]
[1,5,4,2,3] => [4,5,3,1,2]
[1,5,4,3,2] => [5,4,3,1,2]
[2,1,3,4,5] => [2,1,3,4,5]
[2,1,3,5,4] => [1,5,2,3,4]
[2,1,4,3,5] => [1,4,2,3,5]
[2,1,4,5,3] => [1,3,5,2,4]
[2,1,5,3,4] => [1,4,5,2,3]
[2,1,5,4,3] => [5,1,4,2,3]
[2,3,1,4,5] => [1,3,2,4,5]
[2,3,1,5,4] => [1,2,5,3,4]
[2,3,4,1,5] => [1,2,4,3,5]
[2,3,4,5,1] => [1,2,3,5,4]
[2,3,5,1,4] => [1,2,4,5,3]
[2,3,5,4,1] => [5,1,2,4,3]
[2,4,1,3,5] => [1,3,4,2,5]
[2,4,1,5,3] => [5,1,3,2,4]
[2,4,3,1,5] => [4,1,3,2,5]
[2,4,3,5,1] => [3,1,2,5,4]
[2,4,5,1,3] => [4,1,2,5,3]
[2,4,5,3,1] => [2,5,1,4,3]
[2,5,1,3,4] => [1,3,4,5,2]
[2,5,1,4,3] => [5,1,3,4,2]
[2,5,3,1,4] => [4,1,3,5,2]
[2,5,3,4,1] => [3,5,1,4,2]
[2,5,4,1,3] => [4,5,1,3,2]
[2,5,4,3,1] => [5,4,1,3,2]
[3,1,2,4,5] => [2,3,1,4,5]
[3,1,2,5,4] => [5,2,1,3,4]
[3,1,4,2,5] => [4,2,1,3,5]
[3,1,4,5,2] => [3,1,5,2,4]
[3,1,5,2,4] => [4,1,5,2,3]
[3,1,5,4,2] => [1,5,4,2,3]
[3,2,1,4,5] => [3,2,1,4,5]
[3,2,1,5,4] => [2,1,5,3,4]
[3,2,4,1,5] => [2,1,4,3,5]
[3,2,4,5,1] => [2,1,3,5,4]
[3,2,5,1,4] => [2,1,4,5,3]
[3,2,5,4,1] => [1,5,2,4,3]
[3,4,1,2,5] => [3,1,4,2,5]
[3,4,1,5,2] => [1,5,3,2,4]
[3,4,2,1,5] => [1,4,3,2,5]
[3,4,2,5,1] => [1,3,2,5,4]
[3,4,5,1,2] => [1,4,2,5,3]
[3,4,5,2,1] => [1,2,5,4,3]
[3,5,1,2,4] => [3,1,4,5,2]
[3,5,1,4,2] => [1,5,3,4,2]
[3,5,2,1,4] => [1,4,3,5,2]
[3,5,2,4,1] => [1,3,5,4,2]
[3,5,4,1,2] => [1,4,5,3,2]
[3,5,4,2,1] => [5,1,4,3,2]
[4,1,2,3,5] => [2,3,4,1,5]
[4,1,2,5,3] => [5,2,3,1,4]
[4,1,3,2,5] => [4,2,3,1,5]
[4,1,3,5,2] => [3,5,2,1,4]
[4,1,5,2,3] => [4,5,2,1,3]
[4,1,5,3,2] => [5,4,2,1,3]
[4,2,1,3,5] => [3,2,4,1,5]
[4,2,1,5,3] => [2,5,3,1,4]
[4,2,3,1,5] => [2,4,3,1,5]
[4,2,3,5,1] => [2,3,1,5,4]
[4,2,5,1,3] => [2,4,1,5,3]
[4,2,5,3,1] => [5,2,1,4,3]
[4,3,1,2,5] => [3,4,2,1,5]
[4,3,1,5,2] => [5,3,2,1,4]
[4,3,2,1,5] => [4,3,2,1,5]
[4,3,2,5,1] => [3,2,1,5,4]
[4,3,5,1,2] => [4,2,1,5,3]
[4,3,5,2,1] => [2,1,5,4,3]
[4,5,1,2,3] => [3,4,1,5,2]
[4,5,1,3,2] => [5,3,1,4,2]
[4,5,2,1,3] => [4,3,1,5,2]
[4,5,2,3,1] => [3,1,5,4,2]
[4,5,3,1,2] => [4,1,5,3,2]
[4,5,3,2,1] => [1,5,4,3,2]
[5,1,2,3,4] => [2,3,4,5,1]
[5,1,2,4,3] => [5,2,3,4,1]
[5,1,3,2,4] => [4,2,3,5,1]
[5,1,3,4,2] => [3,5,2,4,1]
[5,1,4,2,3] => [4,5,2,3,1]
[5,1,4,3,2] => [5,4,2,3,1]
[5,2,1,3,4] => [3,2,4,5,1]
[5,2,1,4,3] => [2,5,3,4,1]
[5,2,3,1,4] => [2,4,3,5,1]
[5,2,3,4,1] => [2,3,5,4,1]
[5,2,4,1,3] => [2,4,5,3,1]
[5,2,4,3,1] => [5,2,4,3,1]
[5,3,1,2,4] => [3,4,2,5,1]
[5,3,1,4,2] => [5,3,2,4,1]
[5,3,2,1,4] => [4,3,2,5,1]
[5,3,2,4,1] => [3,2,5,4,1]
[5,3,4,1,2] => [4,2,5,3,1]
[5,3,4,2,1] => [2,5,4,3,1]
[5,4,1,2,3] => [3,4,5,2,1]
[5,4,1,3,2] => [5,3,4,2,1]
[5,4,2,1,3] => [4,3,5,2,1]
[5,4,2,3,1] => [3,5,4,2,1]
[5,4,3,1,2] => [4,5,3,2,1]
[5,4,3,2,1] => [5,4,3,2,1]
[1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,2,3,4,6,5] => [6,1,2,3,4,5]
[1,2,3,5,4,6] => [5,1,2,3,4,6]
[1,2,3,5,6,4] => [4,6,1,2,3,5]
[1,2,3,6,4,5] => [5,6,1,2,3,4]
[1,2,3,6,5,4] => [6,5,1,2,3,4]
[1,2,4,3,5,6] => [4,1,2,3,5,6]
[1,2,4,3,6,5] => [3,6,1,2,4,5]
[1,2,4,5,3,6] => [3,5,1,2,4,6]
[1,2,4,5,6,3] => [3,4,6,1,2,5]
[1,2,4,6,3,5] => [3,5,6,1,2,4]
[1,2,4,6,5,3] => [6,3,5,1,2,4]
[1,2,5,3,4,6] => [4,5,1,2,3,6]
[1,2,5,3,6,4] => [6,4,1,2,3,5]
[1,2,5,4,3,6] => [5,4,1,2,3,6]
[1,2,5,4,6,3] => [4,3,6,1,2,5]
[1,2,5,6,3,4] => [5,3,6,1,2,4]
[1,2,5,6,4,3] => [3,6,5,1,2,4]
[1,2,6,3,4,5] => [4,5,6,1,2,3]
[1,2,6,3,5,4] => [6,4,5,1,2,3]
[1,2,6,4,3,5] => [5,4,6,1,2,3]
[1,2,6,4,5,3] => [4,6,5,1,2,3]
[1,2,6,5,3,4] => [5,6,4,1,2,3]
[1,2,6,5,4,3] => [6,5,4,1,2,3]
[1,3,2,4,5,6] => [3,1,2,4,5,6]
[1,3,2,4,6,5] => [2,6,1,3,4,5]
[1,3,2,5,4,6] => [2,5,1,3,4,6]
[1,3,2,5,6,4] => [2,4,6,1,3,5]
[1,3,2,6,4,5] => [2,5,6,1,3,4]
[1,3,2,6,5,4] => [6,2,5,1,3,4]
[1,3,4,2,5,6] => [2,4,1,3,5,6]
[1,3,4,2,6,5] => [2,3,6,1,4,5]
[1,3,4,5,2,6] => [2,3,5,1,4,6]
[1,3,4,5,6,2] => [2,3,4,6,1,5]
[1,3,4,6,2,5] => [2,3,5,6,1,4]
[1,3,4,6,5,2] => [6,2,3,5,1,4]
[1,3,5,2,4,6] => [2,4,5,1,3,6]
[1,3,5,2,6,4] => [6,2,4,1,3,5]
[1,3,5,4,2,6] => [5,2,4,1,3,6]
[1,3,5,4,6,2] => [4,2,3,6,1,5]
[1,3,5,6,2,4] => [5,2,3,6,1,4]
[1,3,5,6,4,2] => [3,6,2,5,1,4]
[1,3,6,2,4,5] => [2,4,5,6,1,3]
[1,3,6,2,5,4] => [6,2,4,5,1,3]
[1,3,6,4,2,5] => [5,2,4,6,1,3]
[1,3,6,4,5,2] => [4,6,2,5,1,3]
[1,3,6,5,2,4] => [5,6,2,4,1,3]
[1,3,6,5,4,2] => [6,5,2,4,1,3]
[1,4,2,3,5,6] => [3,4,1,2,5,6]
[1,4,2,3,6,5] => [6,3,1,2,4,5]
[1,4,2,5,3,6] => [5,3,1,2,4,6]
[1,4,2,5,6,3] => [4,2,6,1,3,5]
[1,4,2,6,3,5] => [5,2,6,1,3,4]
[1,4,2,6,5,3] => [2,6,5,1,3,4]
[1,4,3,2,5,6] => [4,3,1,2,5,6]
[1,4,3,2,6,5] => [3,2,6,1,4,5]
[1,4,3,5,2,6] => [3,2,5,1,4,6]
[1,4,3,5,6,2] => [3,2,4,6,1,5]
[1,4,3,6,2,5] => [3,2,5,6,1,4]
[1,4,3,6,5,2] => [2,6,3,5,1,4]
[1,4,5,2,3,6] => [4,2,5,1,3,6]
[1,4,5,2,6,3] => [2,6,4,1,3,5]
[1,4,5,3,2,6] => [2,5,4,1,3,6]
[1,4,5,3,6,2] => [2,4,3,6,1,5]
[1,4,5,6,2,3] => [2,5,3,6,1,4]
[1,4,5,6,3,2] => [2,3,6,5,1,4]
[1,4,6,2,3,5] => [4,2,5,6,1,3]
[1,4,6,2,5,3] => [2,6,4,5,1,3]
[1,4,6,3,2,5] => [2,5,4,6,1,3]
[1,4,6,3,5,2] => [2,4,6,5,1,3]
[1,4,6,5,2,3] => [2,5,6,4,1,3]
[1,4,6,5,3,2] => [6,2,5,4,1,3]
[1,5,2,3,4,6] => [3,4,5,1,2,6]
[1,5,2,3,6,4] => [6,3,4,1,2,5]
[1,5,2,4,3,6] => [5,3,4,1,2,6]
[1,5,2,4,6,3] => [4,6,3,1,2,5]
[1,5,2,6,3,4] => [5,6,3,1,2,4]
[1,5,2,6,4,3] => [6,5,3,1,2,4]
[1,5,3,2,4,6] => [4,3,5,1,2,6]
[1,5,3,2,6,4] => [3,6,4,1,2,5]
[1,5,3,4,2,6] => [3,5,4,1,2,6]
[1,5,3,4,6,2] => [3,4,2,6,1,5]
[1,5,3,6,2,4] => [3,5,2,6,1,4]
[1,5,3,6,4,2] => [6,3,2,5,1,4]
[1,5,4,2,3,6] => [4,5,3,1,2,6]
[1,5,4,2,6,3] => [6,4,3,1,2,5]
[1,5,4,3,2,6] => [5,4,3,1,2,6]
[1,5,4,3,6,2] => [4,3,2,6,1,5]
[1,5,4,6,2,3] => [5,3,2,6,1,4]
[1,5,4,6,3,2] => [3,2,6,5,1,4]
[1,5,6,2,3,4] => [4,5,2,6,1,3]
[1,5,6,2,4,3] => [6,4,2,5,1,3]
[1,5,6,3,2,4] => [5,4,2,6,1,3]
[1,5,6,3,4,2] => [4,2,6,5,1,3]
[1,5,6,4,2,3] => [5,2,6,4,1,3]
[1,5,6,4,3,2] => [2,6,5,4,1,3]
[1,6,2,3,4,5] => [3,4,5,6,1,2]
[1,6,2,3,5,4] => [6,3,4,5,1,2]
[1,6,2,4,3,5] => [5,3,4,6,1,2]
[1,6,2,4,5,3] => [4,6,3,5,1,2]
[1,6,2,5,3,4] => [5,6,3,4,1,2]
[1,6,2,5,4,3] => [6,5,3,4,1,2]
[1,6,3,2,4,5] => [4,3,5,6,1,2]
[1,6,3,2,5,4] => [3,6,4,5,1,2]
[1,6,3,4,2,5] => [3,5,4,6,1,2]
[1,6,3,4,5,2] => [3,4,6,5,1,2]
[1,6,3,5,2,4] => [3,5,6,4,1,2]
[1,6,3,5,4,2] => [6,3,5,4,1,2]
[1,6,4,2,3,5] => [4,5,3,6,1,2]
[1,6,4,2,5,3] => [6,4,3,5,1,2]
[1,6,4,3,2,5] => [5,4,3,6,1,2]
[1,6,4,3,5,2] => [4,3,6,5,1,2]
[1,6,4,5,2,3] => [5,3,6,4,1,2]
[1,6,4,5,3,2] => [3,6,5,4,1,2]
[1,6,5,2,3,4] => [4,5,6,3,1,2]
[1,6,5,2,4,3] => [6,4,5,3,1,2]
[1,6,5,3,2,4] => [5,4,6,3,1,2]
[1,6,5,3,4,2] => [4,6,5,3,1,2]
[1,6,5,4,2,3] => [5,6,4,3,1,2]
[1,6,5,4,3,2] => [6,5,4,3,1,2]
[2,1,3,4,5,6] => [2,1,3,4,5,6]
[2,1,3,4,6,5] => [1,6,2,3,4,5]
[2,1,3,5,4,6] => [1,5,2,3,4,6]
[2,1,3,5,6,4] => [1,4,6,2,3,5]
[2,1,3,6,4,5] => [1,5,6,2,3,4]
[2,1,3,6,5,4] => [6,1,5,2,3,4]
[2,1,4,3,5,6] => [1,4,2,3,5,6]
[2,1,4,3,6,5] => [1,3,6,2,4,5]
[2,1,4,5,3,6] => [1,3,5,2,4,6]
[2,1,4,5,6,3] => [1,3,4,6,2,5]
[2,1,4,6,3,5] => [1,3,5,6,2,4]
[2,1,4,6,5,3] => [6,1,3,5,2,4]
[2,1,5,3,4,6] => [1,4,5,2,3,6]
[2,1,5,3,6,4] => [6,1,4,2,3,5]
[2,1,5,4,3,6] => [5,1,4,2,3,6]
[2,1,5,4,6,3] => [4,1,3,6,2,5]
[2,1,5,6,3,4] => [5,1,3,6,2,4]
[2,1,5,6,4,3] => [3,6,1,5,2,4]
[2,1,6,3,4,5] => [1,4,5,6,2,3]
[2,1,6,3,5,4] => [6,1,4,5,2,3]
[2,1,6,4,3,5] => [5,1,4,6,2,3]
[2,1,6,4,5,3] => [4,6,1,5,2,3]
[2,1,6,5,3,4] => [5,6,1,4,2,3]
[2,1,6,5,4,3] => [6,5,1,4,2,3]
[2,3,1,4,5,6] => [1,3,2,4,5,6]
[2,3,1,4,6,5] => [1,2,6,3,4,5]
[2,3,1,5,4,6] => [1,2,5,3,4,6]
[2,3,1,5,6,4] => [1,2,4,6,3,5]
[2,3,1,6,4,5] => [1,2,5,6,3,4]
[2,3,1,6,5,4] => [6,1,2,5,3,4]
[2,3,4,1,5,6] => [1,2,4,3,5,6]
[2,3,4,1,6,5] => [1,2,3,6,4,5]
[2,3,4,5,1,6] => [1,2,3,5,4,6]
[2,3,4,5,6,1] => [1,2,3,4,6,5]
[2,3,4,6,1,5] => [1,2,3,5,6,4]
[2,3,4,6,5,1] => [6,1,2,3,5,4]
[2,3,5,1,4,6] => [1,2,4,5,3,6]
[2,3,5,1,6,4] => [6,1,2,4,3,5]
[2,3,5,4,1,6] => [5,1,2,4,3,6]
[2,3,5,4,6,1] => [4,1,2,3,6,5]
[2,3,5,6,1,4] => [5,1,2,3,6,4]
[2,3,5,6,4,1] => [3,6,1,2,5,4]
[2,3,6,1,4,5] => [1,2,4,5,6,3]
[2,3,6,1,5,4] => [6,1,2,4,5,3]
[2,3,6,4,1,5] => [5,1,2,4,6,3]
[2,3,6,4,5,1] => [4,6,1,2,5,3]
[2,3,6,5,1,4] => [5,6,1,2,4,3]
[2,3,6,5,4,1] => [6,5,1,2,4,3]
[2,4,1,3,5,6] => [1,3,4,2,5,6]
[2,4,1,3,6,5] => [6,1,3,2,4,5]
[2,4,1,5,3,6] => [5,1,3,2,4,6]
[2,4,1,5,6,3] => [4,1,2,6,3,5]
[2,4,1,6,3,5] => [5,1,2,6,3,4]
[2,4,1,6,5,3] => [2,6,1,5,3,4]
[2,4,3,1,5,6] => [4,1,3,2,5,6]
[2,4,3,1,6,5] => [3,1,2,6,4,5]
[2,4,3,5,1,6] => [3,1,2,5,4,6]
[2,4,3,5,6,1] => [3,1,2,4,6,5]
[2,4,3,6,1,5] => [3,1,2,5,6,4]
[2,4,3,6,5,1] => [2,6,1,3,5,4]
[2,4,5,1,3,6] => [4,1,2,5,3,6]
[2,4,5,1,6,3] => [2,6,1,4,3,5]
[2,4,5,3,1,6] => [2,5,1,4,3,6]
[2,4,5,3,6,1] => [2,4,1,3,6,5]
[2,4,5,6,1,3] => [2,5,1,3,6,4]
[2,4,5,6,3,1] => [2,3,6,1,5,4]
[2,4,6,1,3,5] => [4,1,2,5,6,3]
[2,4,6,1,5,3] => [2,6,1,4,5,3]
[2,4,6,3,1,5] => [2,5,1,4,6,3]
[2,4,6,3,5,1] => [2,4,6,1,5,3]
[2,4,6,5,1,3] => [2,5,6,1,4,3]
[2,4,6,5,3,1] => [6,2,5,1,4,3]
[2,5,1,3,4,6] => [1,3,4,5,2,6]
[2,5,1,3,6,4] => [6,1,3,4,2,5]
[2,5,1,4,3,6] => [5,1,3,4,2,6]
[2,5,1,4,6,3] => [4,6,1,3,2,5]
[2,5,1,6,3,4] => [5,6,1,3,2,4]
[2,5,1,6,4,3] => [6,5,1,3,2,4]
[2,5,3,1,4,6] => [4,1,3,5,2,6]
[2,5,3,1,6,4] => [3,6,1,4,2,5]
[2,5,3,4,1,6] => [3,5,1,4,2,6]
[2,5,3,4,6,1] => [3,4,1,2,6,5]
[2,5,3,6,1,4] => [3,5,1,2,6,4]
[2,5,3,6,4,1] => [6,3,1,2,5,4]
[2,5,4,1,3,6] => [4,5,1,3,2,6]
[2,5,4,1,6,3] => [6,4,1,3,2,5]
[2,5,4,3,1,6] => [5,4,1,3,2,6]
[2,5,4,3,6,1] => [4,3,1,2,6,5]
[2,5,4,6,1,3] => [5,3,1,2,6,4]
[2,5,4,6,3,1] => [3,2,6,1,5,4]
[2,5,6,1,3,4] => [4,5,1,2,6,3]
[2,5,6,1,4,3] => [6,4,1,2,5,3]
[2,5,6,3,1,4] => [5,4,1,2,6,3]
[2,5,6,3,4,1] => [4,2,6,1,5,3]
[2,5,6,4,1,3] => [5,2,6,1,4,3]
[2,5,6,4,3,1] => [2,6,5,1,4,3]
[2,6,1,3,4,5] => [1,3,4,5,6,2]
[2,6,1,3,5,4] => [6,1,3,4,5,2]
[2,6,1,4,3,5] => [5,1,3,4,6,2]
[2,6,1,4,5,3] => [4,6,1,3,5,2]
[2,6,1,5,3,4] => [5,6,1,3,4,2]
[2,6,1,5,4,3] => [6,5,1,3,4,2]
[2,6,3,1,4,5] => [4,1,3,5,6,2]
[2,6,3,1,5,4] => [3,6,1,4,5,2]
[2,6,3,4,1,5] => [3,5,1,4,6,2]
[2,6,3,4,5,1] => [3,4,6,1,5,2]
[2,6,3,5,1,4] => [3,5,6,1,4,2]
[2,6,3,5,4,1] => [6,3,5,1,4,2]
[2,6,4,1,3,5] => [4,5,1,3,6,2]
[2,6,4,1,5,3] => [6,4,1,3,5,2]
[2,6,4,3,1,5] => [5,4,1,3,6,2]
[2,6,4,3,5,1] => [4,3,6,1,5,2]
[2,6,4,5,1,3] => [5,3,6,1,4,2]
[2,6,4,5,3,1] => [3,6,5,1,4,2]
[2,6,5,1,3,4] => [4,5,6,1,3,2]
[2,6,5,1,4,3] => [6,4,5,1,3,2]
[2,6,5,3,1,4] => [5,4,6,1,3,2]
[2,6,5,3,4,1] => [4,6,5,1,3,2]
[2,6,5,4,1,3] => [5,6,4,1,3,2]
[2,6,5,4,3,1] => [6,5,4,1,3,2]
[3,1,2,4,5,6] => [2,3,1,4,5,6]
[3,1,2,4,6,5] => [6,2,1,3,4,5]
[3,1,2,5,4,6] => [5,2,1,3,4,6]
[3,1,2,5,6,4] => [4,1,6,2,3,5]
[3,1,2,6,4,5] => [5,1,6,2,3,4]
[3,1,2,6,5,4] => [1,6,5,2,3,4]
[3,1,4,2,5,6] => [4,2,1,3,5,6]
[3,1,4,2,6,5] => [3,1,6,2,4,5]
[3,1,4,5,2,6] => [3,1,5,2,4,6]
[3,1,4,5,6,2] => [3,1,4,6,2,5]
[3,1,4,6,2,5] => [3,1,5,6,2,4]
[3,1,4,6,5,2] => [1,6,3,5,2,4]
[3,1,5,2,4,6] => [4,1,5,2,3,6]
[3,1,5,2,6,4] => [1,6,4,2,3,5]
[3,1,5,4,2,6] => [1,5,4,2,3,6]
[3,1,5,4,6,2] => [1,4,3,6,2,5]
[3,1,5,6,2,4] => [1,5,3,6,2,4]
[3,1,5,6,4,2] => [1,3,6,5,2,4]
[3,1,6,2,4,5] => [4,1,5,6,2,3]
[3,1,6,2,5,4] => [1,6,4,5,2,3]
[3,1,6,4,2,5] => [1,5,4,6,2,3]
[3,1,6,4,5,2] => [1,4,6,5,2,3]
[3,1,6,5,2,4] => [1,5,6,4,2,3]
[3,1,6,5,4,2] => [6,1,5,4,2,3]
[3,2,1,4,5,6] => [3,2,1,4,5,6]
[3,2,1,4,6,5] => [2,1,6,3,4,5]
[3,2,1,5,4,6] => [2,1,5,3,4,6]
[3,2,1,5,6,4] => [2,1,4,6,3,5]
[3,2,1,6,4,5] => [2,1,5,6,3,4]
[3,2,1,6,5,4] => [1,6,2,5,3,4]
[3,2,4,1,5,6] => [2,1,4,3,5,6]
[3,2,4,1,6,5] => [2,1,3,6,4,5]
[3,2,4,5,1,6] => [2,1,3,5,4,6]
[3,2,4,5,6,1] => [2,1,3,4,6,5]
[3,2,4,6,1,5] => [2,1,3,5,6,4]
[3,2,4,6,5,1] => [1,6,2,3,5,4]
[3,2,5,1,4,6] => [2,1,4,5,3,6]
[3,2,5,1,6,4] => [1,6,2,4,3,5]
[3,2,5,4,1,6] => [1,5,2,4,3,6]
[3,2,5,4,6,1] => [1,4,2,3,6,5]
[3,2,5,6,1,4] => [1,5,2,3,6,4]
[3,2,5,6,4,1] => [1,3,6,2,5,4]
[3,2,6,1,4,5] => [2,1,4,5,6,3]
[3,2,6,1,5,4] => [1,6,2,4,5,3]
[3,2,6,4,1,5] => [1,5,2,4,6,3]
[3,2,6,4,5,1] => [1,4,6,2,5,3]
[3,2,6,5,1,4] => [1,5,6,2,4,3]
[3,2,6,5,4,1] => [6,1,5,2,4,3]
[3,4,1,2,5,6] => [3,1,4,2,5,6]
[3,4,1,2,6,5] => [1,6,3,2,4,5]
[3,4,1,5,2,6] => [1,5,3,2,4,6]
[3,4,1,5,6,2] => [1,4,2,6,3,5]
[3,4,1,6,2,5] => [1,5,2,6,3,4]
[3,4,1,6,5,2] => [1,2,6,5,3,4]
[3,4,2,1,5,6] => [1,4,3,2,5,6]
[3,4,2,1,6,5] => [1,3,2,6,4,5]
[3,4,2,5,1,6] => [1,3,2,5,4,6]
[3,4,2,5,6,1] => [1,3,2,4,6,5]
[3,4,2,6,1,5] => [1,3,2,5,6,4]
[3,4,2,6,5,1] => [1,2,6,3,5,4]
[3,4,5,1,2,6] => [1,4,2,5,3,6]
[3,4,5,1,6,2] => [1,2,6,4,3,5]
[3,4,5,2,1,6] => [1,2,5,4,3,6]
[3,4,5,2,6,1] => [1,2,4,3,6,5]
[3,4,5,6,1,2] => [1,2,5,3,6,4]
[3,4,5,6,2,1] => [1,2,3,6,5,4]
[3,4,6,1,2,5] => [1,4,2,5,6,3]
[3,4,6,1,5,2] => [1,2,6,4,5,3]
[3,4,6,2,1,5] => [1,2,5,4,6,3]
[3,4,6,2,5,1] => [1,2,4,6,5,3]
[3,4,6,5,1,2] => [1,2,5,6,4,3]
[3,4,6,5,2,1] => [6,1,2,5,4,3]
[3,5,1,2,4,6] => [3,1,4,5,2,6]
[3,5,1,2,6,4] => [1,6,3,4,2,5]
[3,5,1,4,2,6] => [1,5,3,4,2,6]
[3,5,1,4,6,2] => [1,4,6,3,2,5]
[3,5,1,6,2,4] => [1,5,6,3,2,4]
[3,5,1,6,4,2] => [6,1,5,3,2,4]
[3,5,2,1,4,6] => [1,4,3,5,2,6]
[3,5,2,1,6,4] => [1,3,6,4,2,5]
[3,5,2,4,1,6] => [1,3,5,4,2,6]
[3,5,2,4,6,1] => [1,3,4,2,6,5]
[3,5,2,6,1,4] => [1,3,5,2,6,4]
[3,5,2,6,4,1] => [6,1,3,2,5,4]
[3,5,4,1,2,6] => [1,4,5,3,2,6]
[3,5,4,1,6,2] => [6,1,4,3,2,5]
[3,5,4,2,1,6] => [5,1,4,3,2,6]
[3,5,4,2,6,1] => [4,1,3,2,6,5]
[3,5,4,6,1,2] => [5,1,3,2,6,4]
[3,5,4,6,2,1] => [3,1,2,6,5,4]
[3,5,6,1,2,4] => [1,4,5,2,6,3]
[3,5,6,1,4,2] => [6,1,4,2,5,3]
[3,5,6,2,1,4] => [5,1,4,2,6,3]
[3,5,6,2,4,1] => [4,1,2,6,5,3]
[3,5,6,4,1,2] => [5,1,2,6,4,3]
[3,5,6,4,2,1] => [2,6,1,5,4,3]
[3,6,1,2,4,5] => [3,1,4,5,6,2]
[3,6,1,2,5,4] => [1,6,3,4,5,2]
[3,6,1,4,2,5] => [1,5,3,4,6,2]
[3,6,1,4,5,2] => [1,4,6,3,5,2]
[3,6,1,5,2,4] => [1,5,6,3,4,2]
[3,6,1,5,4,2] => [6,1,5,3,4,2]
[3,6,2,1,4,5] => [1,4,3,5,6,2]
[3,6,2,1,5,4] => [1,3,6,4,5,2]
[3,6,2,4,1,5] => [1,3,5,4,6,2]
[3,6,2,4,5,1] => [1,3,4,6,5,2]
[3,6,2,5,1,4] => [1,3,5,6,4,2]
[3,6,2,5,4,1] => [6,1,3,5,4,2]
[3,6,4,1,2,5] => [1,4,5,3,6,2]
[3,6,4,1,5,2] => [6,1,4,3,5,2]
[3,6,4,2,1,5] => [5,1,4,3,6,2]
[3,6,4,2,5,1] => [4,1,3,6,5,2]
[3,6,4,5,1,2] => [5,1,3,6,4,2]
[3,6,4,5,2,1] => [3,6,1,5,4,2]
[3,6,5,1,2,4] => [1,4,5,6,3,2]
[3,6,5,1,4,2] => [6,1,4,5,3,2]
[3,6,5,2,1,4] => [5,1,4,6,3,2]
[3,6,5,2,4,1] => [4,6,1,5,3,2]
[3,6,5,4,1,2] => [5,6,1,4,3,2]
[3,6,5,4,2,1] => [6,5,1,4,3,2]
[4,1,2,3,5,6] => [2,3,4,1,5,6]
[4,1,2,3,6,5] => [6,2,3,1,4,5]
[4,1,2,5,3,6] => [5,2,3,1,4,6]
[4,1,2,5,6,3] => [4,6,2,1,3,5]
[4,1,2,6,3,5] => [5,6,2,1,3,4]
[4,1,2,6,5,3] => [6,5,2,1,3,4]
[4,1,3,2,5,6] => [4,2,3,1,5,6]
[4,1,3,2,6,5] => [3,6,2,1,4,5]
[4,1,3,5,2,6] => [3,5,2,1,4,6]
[4,1,3,5,6,2] => [3,4,1,6,2,5]
[4,1,3,6,2,5] => [3,5,1,6,2,4]
[4,1,3,6,5,2] => [6,3,1,5,2,4]
[4,1,5,2,3,6] => [4,5,2,1,3,6]
[4,1,5,2,6,3] => [6,4,2,1,3,5]
[4,1,5,3,2,6] => [5,4,2,1,3,6]
[4,1,5,3,6,2] => [4,3,1,6,2,5]
[4,1,5,6,2,3] => [5,3,1,6,2,4]
[4,1,5,6,3,2] => [3,1,6,5,2,4]
[4,1,6,2,3,5] => [4,5,1,6,2,3]
[4,1,6,2,5,3] => [6,4,1,5,2,3]
[4,1,6,3,2,5] => [5,4,1,6,2,3]
[4,1,6,3,5,2] => [4,1,6,5,2,3]
[4,1,6,5,2,3] => [5,1,6,4,2,3]
[4,1,6,5,3,2] => [1,6,5,4,2,3]
[4,2,1,3,5,6] => [3,2,4,1,5,6]
[4,2,1,3,6,5] => [2,6,3,1,4,5]
[4,2,1,5,3,6] => [2,5,3,1,4,6]
[4,2,1,5,6,3] => [2,4,1,6,3,5]
[4,2,1,6,3,5] => [2,5,1,6,3,4]
[4,2,1,6,5,3] => [6,2,1,5,3,4]
[4,2,3,1,5,6] => [2,4,3,1,5,6]
[4,2,3,1,6,5] => [2,3,1,6,4,5]
[4,2,3,5,1,6] => [2,3,1,5,4,6]
[4,2,3,5,6,1] => [2,3,1,4,6,5]
[4,2,3,6,1,5] => [2,3,1,5,6,4]
[4,2,3,6,5,1] => [6,2,1,3,5,4]
[4,2,5,1,3,6] => [2,4,1,5,3,6]
[4,2,5,1,6,3] => [6,2,1,4,3,5]
[4,2,5,3,1,6] => [5,2,1,4,3,6]
[4,2,5,3,6,1] => [4,2,1,3,6,5]
[4,2,5,6,1,3] => [5,2,1,3,6,4]
[4,2,5,6,3,1] => [3,1,6,2,5,4]
[4,2,6,1,3,5] => [2,4,1,5,6,3]
[4,2,6,1,5,3] => [6,2,1,4,5,3]
[4,2,6,3,1,5] => [5,2,1,4,6,3]
[4,2,6,3,5,1] => [4,1,6,2,5,3]
[4,2,6,5,1,3] => [5,1,6,2,4,3]
[4,2,6,5,3,1] => [1,6,5,2,4,3]
[4,3,1,2,5,6] => [3,4,2,1,5,6]
[4,3,1,2,6,5] => [6,3,2,1,4,5]
[4,3,1,5,2,6] => [5,3,2,1,4,6]
[4,3,1,5,6,2] => [4,2,1,6,3,5]
[4,3,1,6,2,5] => [5,2,1,6,3,4]
[4,3,1,6,5,2] => [2,1,6,5,3,4]
[4,3,2,1,5,6] => [4,3,2,1,5,6]
[4,3,2,1,6,5] => [3,2,1,6,4,5]
[4,3,2,5,1,6] => [3,2,1,5,4,6]
[4,3,2,5,6,1] => [3,2,1,4,6,5]
[4,3,2,6,1,5] => [3,2,1,5,6,4]
[4,3,2,6,5,1] => [2,1,6,3,5,4]
[4,3,5,1,2,6] => [4,2,1,5,3,6]
[4,3,5,1,6,2] => [2,1,6,4,3,5]
[4,3,5,2,1,6] => [2,1,5,4,3,6]
[4,3,5,2,6,1] => [2,1,4,3,6,5]
[4,3,5,6,1,2] => [2,1,5,3,6,4]
[4,3,5,6,2,1] => [2,1,3,6,5,4]
[4,3,6,1,2,5] => [4,2,1,5,6,3]
[4,3,6,1,5,2] => [2,1,6,4,5,3]
[4,3,6,2,1,5] => [2,1,5,4,6,3]
[4,3,6,2,5,1] => [2,1,4,6,5,3]
[4,3,6,5,1,2] => [2,1,5,6,4,3]
[4,3,6,5,2,1] => [1,6,2,5,4,3]
[4,5,1,2,3,6] => [3,4,1,5,2,6]
[4,5,1,2,6,3] => [6,3,1,4,2,5]
[4,5,1,3,2,6] => [5,3,1,4,2,6]
[4,5,1,3,6,2] => [4,1,6,3,2,5]
[4,5,1,6,2,3] => [5,1,6,3,2,4]
[4,5,1,6,3,2] => [1,6,5,3,2,4]
[4,5,2,1,3,6] => [4,3,1,5,2,6]
[4,5,2,1,6,3] => [3,1,6,4,2,5]
[4,5,2,3,1,6] => [3,1,5,4,2,6]
[4,5,2,3,6,1] => [3,1,4,2,6,5]
[4,5,2,6,1,3] => [3,1,5,2,6,4]
[4,5,2,6,3,1] => [1,6,3,2,5,4]
[4,5,3,1,2,6] => [4,1,5,3,2,6]
[4,5,3,1,6,2] => [1,6,4,3,2,5]
[4,5,3,2,1,6] => [1,5,4,3,2,6]
[4,5,3,2,6,1] => [1,4,3,2,6,5]
[4,5,3,6,1,2] => [1,5,3,2,6,4]
[4,5,3,6,2,1] => [1,3,2,6,5,4]
[4,5,6,1,2,3] => [4,1,5,2,6,3]
[4,5,6,1,3,2] => [1,6,4,2,5,3]
[4,5,6,2,1,3] => [1,5,4,2,6,3]
[4,5,6,2,3,1] => [1,4,2,6,5,3]
[4,5,6,3,1,2] => [1,5,2,6,4,3]
[4,5,6,3,2,1] => [1,2,6,5,4,3]
[4,6,1,2,3,5] => [3,4,1,5,6,2]
[4,6,1,2,5,3] => [6,3,1,4,5,2]
[4,6,1,3,2,5] => [5,3,1,4,6,2]
[4,6,1,3,5,2] => [4,1,6,3,5,2]
[4,6,1,5,2,3] => [5,1,6,3,4,2]
[4,6,1,5,3,2] => [1,6,5,3,4,2]
[4,6,2,1,3,5] => [4,3,1,5,6,2]
[4,6,2,1,5,3] => [3,1,6,4,5,2]
[4,6,2,3,1,5] => [3,1,5,4,6,2]
[4,6,2,3,5,1] => [3,1,4,6,5,2]
[4,6,2,5,1,3] => [3,1,5,6,4,2]
[4,6,2,5,3,1] => [1,6,3,5,4,2]
[4,6,3,1,2,5] => [4,1,5,3,6,2]
[4,6,3,1,5,2] => [1,6,4,3,5,2]
[4,6,3,2,1,5] => [1,5,4,3,6,2]
[4,6,3,2,5,1] => [1,4,3,6,5,2]
[4,6,3,5,1,2] => [1,5,3,6,4,2]
[4,6,3,5,2,1] => [1,3,6,5,4,2]
[4,6,5,1,2,3] => [4,1,5,6,3,2]
[4,6,5,1,3,2] => [1,6,4,5,3,2]
[4,6,5,2,1,3] => [1,5,4,6,3,2]
[4,6,5,2,3,1] => [1,4,6,5,3,2]
[4,6,5,3,1,2] => [1,5,6,4,3,2]
[4,6,5,3,2,1] => [6,1,5,4,3,2]
[5,1,2,3,4,6] => [2,3,4,5,1,6]
[5,1,2,3,6,4] => [6,2,3,4,1,5]
[5,1,2,4,3,6] => [5,2,3,4,1,6]
[5,1,2,4,6,3] => [4,6,2,3,1,5]
[5,1,2,6,3,4] => [5,6,2,3,1,4]
[5,1,2,6,4,3] => [6,5,2,3,1,4]
[5,1,3,2,4,6] => [4,2,3,5,1,6]
[5,1,3,2,6,4] => [3,6,2,4,1,5]
[5,1,3,4,2,6] => [3,5,2,4,1,6]
[5,1,3,4,6,2] => [3,4,6,2,1,5]
[5,1,3,6,2,4] => [3,5,6,2,1,4]
[5,1,3,6,4,2] => [6,3,5,2,1,4]
[5,1,4,2,3,6] => [4,5,2,3,1,6]
[5,1,4,2,6,3] => [6,4,2,3,1,5]
[5,1,4,3,2,6] => [5,4,2,3,1,6]
[5,1,4,3,6,2] => [4,3,6,2,1,5]
[5,1,4,6,2,3] => [5,3,6,2,1,4]
[5,1,4,6,3,2] => [3,6,5,2,1,4]
[5,1,6,2,3,4] => [4,5,6,2,1,3]
[5,1,6,2,4,3] => [6,4,5,2,1,3]
[5,1,6,3,2,4] => [5,4,6,2,1,3]
[5,1,6,3,4,2] => [4,6,5,2,1,3]
[5,1,6,4,2,3] => [5,6,4,2,1,3]
[5,1,6,4,3,2] => [6,5,4,2,1,3]
[5,2,1,3,4,6] => [3,2,4,5,1,6]
[5,2,1,3,6,4] => [2,6,3,4,1,5]
[5,2,1,4,3,6] => [2,5,3,4,1,6]
[5,2,1,4,6,3] => [2,4,6,3,1,5]
[5,2,1,6,3,4] => [2,5,6,3,1,4]
[5,2,1,6,4,3] => [6,2,5,3,1,4]
[5,2,3,1,4,6] => [2,4,3,5,1,6]
[5,2,3,1,6,4] => [2,3,6,4,1,5]
[5,2,3,4,1,6] => [2,3,5,4,1,6]
[5,2,3,4,6,1] => [2,3,4,1,6,5]
[5,2,3,6,1,4] => [2,3,5,1,6,4]
[5,2,3,6,4,1] => [6,2,3,1,5,4]
[5,2,4,1,3,6] => [2,4,5,3,1,6]
[5,2,4,1,6,3] => [6,2,4,3,1,5]
[5,2,4,3,1,6] => [5,2,4,3,1,6]
[5,2,4,3,6,1] => [4,2,3,1,6,5]
[5,2,4,6,1,3] => [5,2,3,1,6,4]
[5,2,4,6,3,1] => [3,6,2,1,5,4]
[5,2,6,1,3,4] => [2,4,5,1,6,3]
[5,2,6,1,4,3] => [6,2,4,1,5,3]
[5,2,6,3,1,4] => [5,2,4,1,6,3]
[5,2,6,3,4,1] => [4,6,2,1,5,3]
[5,2,6,4,1,3] => [5,6,2,1,4,3]
[5,2,6,4,3,1] => [6,5,2,1,4,3]
[5,3,1,2,4,6] => [3,4,2,5,1,6]
[5,3,1,2,6,4] => [6,3,2,4,1,5]
[5,3,1,4,2,6] => [5,3,2,4,1,6]
[5,3,1,4,6,2] => [4,2,6,3,1,5]
[5,3,1,6,2,4] => [5,2,6,3,1,4]
[5,3,1,6,4,2] => [2,6,5,3,1,4]
[5,3,2,1,4,6] => [4,3,2,5,1,6]
[5,3,2,1,6,4] => [3,2,6,4,1,5]
[5,3,2,4,1,6] => [3,2,5,4,1,6]
[5,3,2,4,6,1] => [3,2,4,1,6,5]
[5,3,2,6,1,4] => [3,2,5,1,6,4]
[5,3,2,6,4,1] => [2,6,3,1,5,4]
[5,3,4,1,2,6] => [4,2,5,3,1,6]
[5,3,4,1,6,2] => [2,6,4,3,1,5]
[5,3,4,2,1,6] => [2,5,4,3,1,6]
[5,3,4,2,6,1] => [2,4,3,1,6,5]
[5,3,4,6,1,2] => [2,5,3,1,6,4]
[5,3,4,6,2,1] => [2,3,1,6,5,4]
[5,3,6,1,2,4] => [4,2,5,1,6,3]
[5,3,6,1,4,2] => [2,6,4,1,5,3]
[5,3,6,2,1,4] => [2,5,4,1,6,3]
[5,3,6,2,4,1] => [2,4,1,6,5,3]
[5,3,6,4,1,2] => [2,5,1,6,4,3]
[5,3,6,4,2,1] => [6,2,1,5,4,3]
[5,4,1,2,3,6] => [3,4,5,2,1,6]
[5,4,1,2,6,3] => [6,3,4,2,1,5]
[5,4,1,3,2,6] => [5,3,4,2,1,6]
[5,4,1,3,6,2] => [4,6,3,2,1,5]
[5,4,1,6,2,3] => [5,6,3,2,1,4]
[5,4,1,6,3,2] => [6,5,3,2,1,4]
[5,4,2,1,3,6] => [4,3,5,2,1,6]
[5,4,2,1,6,3] => [3,6,4,2,1,5]
[5,4,2,3,1,6] => [3,5,4,2,1,6]
[5,4,2,3,6,1] => [3,4,2,1,6,5]
[5,4,2,6,1,3] => [3,5,2,1,6,4]
[5,4,2,6,3,1] => [6,3,2,1,5,4]
[5,4,3,1,2,6] => [4,5,3,2,1,6]
[5,4,3,1,6,2] => [6,4,3,2,1,5]
[5,4,3,2,1,6] => [5,4,3,2,1,6]
[5,4,3,2,6,1] => [4,3,2,1,6,5]
[5,4,3,6,1,2] => [5,3,2,1,6,4]
[5,4,3,6,2,1] => [3,2,1,6,5,4]
[5,4,6,1,2,3] => [4,5,2,1,6,3]
[5,4,6,1,3,2] => [6,4,2,1,5,3]
[5,4,6,2,1,3] => [5,4,2,1,6,3]
[5,4,6,2,3,1] => [4,2,1,6,5,3]
[5,4,6,3,1,2] => [5,2,1,6,4,3]
[5,4,6,3,2,1] => [2,1,6,5,4,3]
[5,6,1,2,3,4] => [3,4,5,1,6,2]
[5,6,1,2,4,3] => [6,3,4,1,5,2]
[5,6,1,3,2,4] => [5,3,4,1,6,2]
[5,6,1,3,4,2] => [4,6,3,1,5,2]
[5,6,1,4,2,3] => [5,6,3,1,4,2]
[5,6,1,4,3,2] => [6,5,3,1,4,2]
[5,6,2,1,3,4] => [4,3,5,1,6,2]
[5,6,2,1,4,3] => [3,6,4,1,5,2]
[5,6,2,3,1,4] => [3,5,4,1,6,2]
[5,6,2,3,4,1] => [3,4,1,6,5,2]
[5,6,2,4,1,3] => [3,5,1,6,4,2]
[5,6,2,4,3,1] => [6,3,1,5,4,2]
[5,6,3,1,2,4] => [4,5,3,1,6,2]
[5,6,3,1,4,2] => [6,4,3,1,5,2]
[5,6,3,2,1,4] => [5,4,3,1,6,2]
[5,6,3,2,4,1] => [4,3,1,6,5,2]
[5,6,3,4,1,2] => [5,3,1,6,4,2]
[5,6,3,4,2,1] => [3,1,6,5,4,2]
[5,6,4,1,2,3] => [4,5,1,6,3,2]
[5,6,4,1,3,2] => [6,4,1,5,3,2]
[5,6,4,2,1,3] => [5,4,1,6,3,2]
[5,6,4,2,3,1] => [4,1,6,5,3,2]
[5,6,4,3,1,2] => [5,1,6,4,3,2]
[5,6,4,3,2,1] => [1,6,5,4,3,2]
[6,1,2,3,4,5] => [2,3,4,5,6,1]
[6,1,2,3,5,4] => [6,2,3,4,5,1]
[6,1,2,4,3,5] => [5,2,3,4,6,1]
[6,1,2,4,5,3] => [4,6,2,3,5,1]
[6,1,2,5,3,4] => [5,6,2,3,4,1]
[6,1,2,5,4,3] => [6,5,2,3,4,1]
[6,1,3,2,4,5] => [4,2,3,5,6,1]
[6,1,3,2,5,4] => [3,6,2,4,5,1]
[6,1,3,4,2,5] => [3,5,2,4,6,1]
[6,1,3,4,5,2] => [3,4,6,2,5,1]
[6,1,3,5,2,4] => [3,5,6,2,4,1]
[6,1,3,5,4,2] => [6,3,5,2,4,1]
[6,1,4,2,3,5] => [4,5,2,3,6,1]
[6,1,4,2,5,3] => [6,4,2,3,5,1]
[6,1,4,3,2,5] => [5,4,2,3,6,1]
[6,1,4,3,5,2] => [4,3,6,2,5,1]
[6,1,4,5,2,3] => [5,3,6,2,4,1]
[6,1,4,5,3,2] => [3,6,5,2,4,1]
[6,1,5,2,3,4] => [4,5,6,2,3,1]
[6,1,5,2,4,3] => [6,4,5,2,3,1]
[6,1,5,3,2,4] => [5,4,6,2,3,1]
[6,1,5,3,4,2] => [4,6,5,2,3,1]
[6,1,5,4,2,3] => [5,6,4,2,3,1]
[6,1,5,4,3,2] => [6,5,4,2,3,1]
[6,2,1,3,4,5] => [3,2,4,5,6,1]
[6,2,1,3,5,4] => [2,6,3,4,5,1]
[6,2,1,4,3,5] => [2,5,3,4,6,1]
[6,2,1,4,5,3] => [2,4,6,3,5,1]
[6,2,1,5,3,4] => [2,5,6,3,4,1]
[6,2,1,5,4,3] => [6,2,5,3,4,1]
[6,2,3,1,4,5] => [2,4,3,5,6,1]
[6,2,3,1,5,4] => [2,3,6,4,5,1]
[6,2,3,4,1,5] => [2,3,5,4,6,1]
[6,2,3,4,5,1] => [2,3,4,6,5,1]
[6,2,3,5,1,4] => [2,3,5,6,4,1]
[6,2,3,5,4,1] => [6,2,3,5,4,1]
[6,2,4,1,3,5] => [2,4,5,3,6,1]
[6,2,4,1,5,3] => [6,2,4,3,5,1]
[6,2,4,3,1,5] => [5,2,4,3,6,1]
[6,2,4,3,5,1] => [4,2,3,6,5,1]
[6,2,4,5,1,3] => [5,2,3,6,4,1]
[6,2,4,5,3,1] => [3,6,2,5,4,1]
[6,2,5,1,3,4] => [2,4,5,6,3,1]
[6,2,5,1,4,3] => [6,2,4,5,3,1]
[6,2,5,3,1,4] => [5,2,4,6,3,1]
[6,2,5,3,4,1] => [4,6,2,5,3,1]
[6,2,5,4,1,3] => [5,6,2,4,3,1]
[6,2,5,4,3,1] => [6,5,2,4,3,1]
[6,3,1,2,4,5] => [3,4,2,5,6,1]
[6,3,1,2,5,4] => [6,3,2,4,5,1]
[6,3,1,4,2,5] => [5,3,2,4,6,1]
[6,3,1,4,5,2] => [4,2,6,3,5,1]
[6,3,1,5,2,4] => [5,2,6,3,4,1]
[6,3,1,5,4,2] => [2,6,5,3,4,1]
[6,3,2,1,4,5] => [4,3,2,5,6,1]
[6,3,2,1,5,4] => [3,2,6,4,5,1]
[6,3,2,4,1,5] => [3,2,5,4,6,1]
[6,3,2,4,5,1] => [3,2,4,6,5,1]
[6,3,2,5,1,4] => [3,2,5,6,4,1]
[6,3,2,5,4,1] => [2,6,3,5,4,1]
[6,3,4,1,2,5] => [4,2,5,3,6,1]
[6,3,4,1,5,2] => [2,6,4,3,5,1]
[6,3,4,2,1,5] => [2,5,4,3,6,1]
[6,3,4,2,5,1] => [2,4,3,6,5,1]
[6,3,4,5,1,2] => [2,5,3,6,4,1]
[6,3,4,5,2,1] => [2,3,6,5,4,1]
[6,3,5,1,2,4] => [4,2,5,6,3,1]
[6,3,5,1,4,2] => [2,6,4,5,3,1]
[6,3,5,2,1,4] => [2,5,4,6,3,1]
[6,3,5,2,4,1] => [2,4,6,5,3,1]
[6,3,5,4,1,2] => [2,5,6,4,3,1]
[6,3,5,4,2,1] => [6,2,5,4,3,1]
[6,4,1,2,3,5] => [3,4,5,2,6,1]
[6,4,1,2,5,3] => [6,3,4,2,5,1]
[6,4,1,3,2,5] => [5,3,4,2,6,1]
[6,4,1,3,5,2] => [4,6,3,2,5,1]
[6,4,1,5,2,3] => [5,6,3,2,4,1]
[6,4,1,5,3,2] => [6,5,3,2,4,1]
[6,4,2,1,3,5] => [4,3,5,2,6,1]
[6,4,2,1,5,3] => [3,6,4,2,5,1]
[6,4,2,3,1,5] => [3,5,4,2,6,1]
[6,4,2,3,5,1] => [3,4,2,6,5,1]
[6,4,2,5,1,3] => [3,5,2,6,4,1]
[6,4,2,5,3,1] => [6,3,2,5,4,1]
[6,4,3,1,2,5] => [4,5,3,2,6,1]
[6,4,3,1,5,2] => [6,4,3,2,5,1]
[6,4,3,2,1,5] => [5,4,3,2,6,1]
[6,4,3,2,5,1] => [4,3,2,6,5,1]
[6,4,3,5,1,2] => [5,3,2,6,4,1]
[6,4,3,5,2,1] => [3,2,6,5,4,1]
[6,4,5,1,2,3] => [4,5,2,6,3,1]
[6,4,5,1,3,2] => [6,4,2,5,3,1]
[6,4,5,2,1,3] => [5,4,2,6,3,1]
[6,4,5,2,3,1] => [4,2,6,5,3,1]
[6,4,5,3,1,2] => [5,2,6,4,3,1]
[6,4,5,3,2,1] => [2,6,5,4,3,1]
[6,5,1,2,3,4] => [3,4,5,6,2,1]
[6,5,1,2,4,3] => [6,3,4,5,2,1]
[6,5,1,3,2,4] => [5,3,4,6,2,1]
[6,5,1,3,4,2] => [4,6,3,5,2,1]
[6,5,1,4,2,3] => [5,6,3,4,2,1]
[6,5,1,4,3,2] => [6,5,3,4,2,1]
[6,5,2,1,3,4] => [4,3,5,6,2,1]
[6,5,2,1,4,3] => [3,6,4,5,2,1]
[6,5,2,3,1,4] => [3,5,4,6,2,1]
[6,5,2,3,4,1] => [3,4,6,5,2,1]
[6,5,2,4,1,3] => [3,5,6,4,2,1]
[6,5,2,4,3,1] => [6,3,5,4,2,1]
[6,5,3,1,2,4] => [4,5,3,6,2,1]
[6,5,3,1,4,2] => [6,4,3,5,2,1]
[6,5,3,2,1,4] => [5,4,3,6,2,1]
[6,5,3,2,4,1] => [4,3,6,5,2,1]
[6,5,3,4,1,2] => [5,3,6,4,2,1]
[6,5,3,4,2,1] => [3,6,5,4,2,1]
[6,5,4,1,2,3] => [4,5,6,3,2,1]
[6,5,4,1,3,2] => [6,4,5,3,2,1]
[6,5,4,2,1,3] => [5,4,6,3,2,1]
[6,5,4,2,3,1] => [4,6,5,3,2,1]
[6,5,4,3,1,2] => [5,6,4,3,2,1]
[6,5,4,3,2,1] => [6,5,4,3,2,1]
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[1,2,3,4,5,7,6] => [7,1,2,3,4,5,6]
[1,2,3,4,6,5,7] => [6,1,2,3,4,5,7]
[1,2,3,4,6,7,5] => [5,7,1,2,3,4,6]
[1,2,3,4,7,5,6] => [6,7,1,2,3,4,5]
[1,2,3,4,7,6,5] => [7,6,1,2,3,4,5]
[1,2,3,5,4,6,7] => [5,1,2,3,4,6,7]
[1,2,3,5,4,7,6] => [4,7,1,2,3,5,6]
[1,2,3,5,6,4,7] => [4,6,1,2,3,5,7]
[1,2,3,5,6,7,4] => [4,5,7,1,2,3,6]
[1,2,3,5,7,4,6] => [4,6,7,1,2,3,5]
[1,2,3,5,7,6,4] => [7,4,6,1,2,3,5]
[1,2,3,6,4,5,7] => [5,6,1,2,3,4,7]
[1,2,3,6,4,7,5] => [7,5,1,2,3,4,6]
[1,2,3,6,5,4,7] => [6,5,1,2,3,4,7]
[1,2,3,6,5,7,4] => [5,4,7,1,2,3,6]
[1,2,3,6,7,4,5] => [6,4,7,1,2,3,5]
[1,2,3,6,7,5,4] => [4,7,6,1,2,3,5]
[1,2,3,7,4,5,6] => [5,6,7,1,2,3,4]
[1,2,3,7,4,6,5] => [7,5,6,1,2,3,4]
[1,2,3,7,5,4,6] => [6,5,7,1,2,3,4]
[1,2,3,7,5,6,4] => [5,7,6,1,2,3,4]
[1,2,3,7,6,4,5] => [6,7,5,1,2,3,4]
[1,2,3,7,6,5,4] => [7,6,5,1,2,3,4]
[1,2,4,3,5,6,7] => [4,1,2,3,5,6,7]
[1,2,4,3,5,7,6] => [3,7,1,2,4,5,6]
[1,2,4,3,6,5,7] => [3,6,1,2,4,5,7]
[1,2,4,3,6,7,5] => [3,5,7,1,2,4,6]
[1,2,4,3,7,5,6] => [3,6,7,1,2,4,5]
[1,2,4,3,7,6,5] => [7,3,6,1,2,4,5]
[1,2,4,5,3,6,7] => [3,5,1,2,4,6,7]
[1,2,4,5,3,7,6] => [3,4,7,1,2,5,6]
[1,2,4,5,6,3,7] => [3,4,6,1,2,5,7]
[1,2,4,5,6,7,3] => [3,4,5,7,1,2,6]
[1,2,4,5,7,3,6] => [3,4,6,7,1,2,5]
[1,2,4,5,7,6,3] => [7,3,4,6,1,2,5]
[1,2,4,6,3,5,7] => [3,5,6,1,2,4,7]
[1,2,4,6,3,7,5] => [7,3,5,1,2,4,6]
[1,2,4,6,5,3,7] => [6,3,5,1,2,4,7]
[1,2,4,6,5,7,3] => [5,3,4,7,1,2,6]
[1,2,4,6,7,3,5] => [6,3,4,7,1,2,5]
[1,2,4,6,7,5,3] => [4,7,3,6,1,2,5]
[1,2,4,7,3,5,6] => [3,5,6,7,1,2,4]
[1,2,4,7,3,6,5] => [7,3,5,6,1,2,4]
[1,2,4,7,5,3,6] => [6,3,5,7,1,2,4]
[1,2,4,7,5,6,3] => [5,7,3,6,1,2,4]
[1,2,4,7,6,3,5] => [6,7,3,5,1,2,4]
[1,2,4,7,6,5,3] => [7,6,3,5,1,2,4]
[1,2,5,3,4,6,7] => [4,5,1,2,3,6,7]
[1,2,5,3,4,7,6] => [7,4,1,2,3,5,6]
[1,2,5,3,6,4,7] => [6,4,1,2,3,5,7]
[1,2,5,3,6,7,4] => [5,3,7,1,2,4,6]
[1,2,5,3,7,4,6] => [6,3,7,1,2,4,5]
[1,2,5,3,7,6,4] => [3,7,6,1,2,4,5]
[1,2,5,4,3,6,7] => [5,4,1,2,3,6,7]
[1,2,5,4,3,7,6] => [4,3,7,1,2,5,6]
[1,2,5,4,6,3,7] => [4,3,6,1,2,5,7]
[1,2,5,4,6,7,3] => [4,3,5,7,1,2,6]
[1,2,5,4,7,3,6] => [4,3,6,7,1,2,5]
[1,2,5,4,7,6,3] => [3,7,4,6,1,2,5]
[1,2,5,6,3,4,7] => [5,3,6,1,2,4,7]
[1,2,5,6,3,7,4] => [3,7,5,1,2,4,6]
[1,2,5,6,4,3,7] => [3,6,5,1,2,4,7]
[1,2,5,6,4,7,3] => [3,5,4,7,1,2,6]
[1,2,5,6,7,3,4] => [3,6,4,7,1,2,5]
[1,2,5,6,7,4,3] => [3,4,7,6,1,2,5]
[1,2,5,7,3,4,6] => [5,3,6,7,1,2,4]
[1,2,5,7,3,6,4] => [3,7,5,6,1,2,4]
[1,2,5,7,4,3,6] => [3,6,5,7,1,2,4]
[1,2,5,7,4,6,3] => [3,5,7,6,1,2,4]
[1,2,5,7,6,3,4] => [3,6,7,5,1,2,4]
[1,2,5,7,6,4,3] => [7,3,6,5,1,2,4]
[1,2,6,3,4,5,7] => [4,5,6,1,2,3,7]
[1,2,6,3,4,7,5] => [7,4,5,1,2,3,6]
[1,2,6,3,5,4,7] => [6,4,5,1,2,3,7]
[1,2,6,3,5,7,4] => [5,7,4,1,2,3,6]
[1,2,6,3,7,4,5] => [6,7,4,1,2,3,5]
[1,2,6,3,7,5,4] => [7,6,4,1,2,3,5]
[1,2,6,4,3,5,7] => [5,4,6,1,2,3,7]
[1,2,6,4,3,7,5] => [4,7,5,1,2,3,6]
[1,2,6,4,5,3,7] => [4,6,5,1,2,3,7]
[1,2,6,4,5,7,3] => [4,5,3,7,1,2,6]
[1,2,6,4,7,3,5] => [4,6,3,7,1,2,5]
[1,2,6,4,7,5,3] => [7,4,3,6,1,2,5]
[1,2,6,5,3,4,7] => [5,6,4,1,2,3,7]
[1,2,6,5,3,7,4] => [7,5,4,1,2,3,6]
[1,2,6,5,4,3,7] => [6,5,4,1,2,3,7]
[1,2,6,5,4,7,3] => [5,4,3,7,1,2,6]
[1,2,6,5,7,3,4] => [6,4,3,7,1,2,5]
[1,2,6,5,7,4,3] => [4,3,7,6,1,2,5]
[1,2,6,7,3,4,5] => [5,6,3,7,1,2,4]
[1,2,6,7,3,5,4] => [7,5,3,6,1,2,4]
[1,2,6,7,4,3,5] => [6,5,3,7,1,2,4]
[1,2,6,7,4,5,3] => [5,3,7,6,1,2,4]
[1,2,6,7,5,3,4] => [6,3,7,5,1,2,4]
[1,2,6,7,5,4,3] => [3,7,6,5,1,2,4]
[1,2,7,3,4,5,6] => [4,5,6,7,1,2,3]
[1,2,7,3,4,6,5] => [7,4,5,6,1,2,3]
[1,2,7,3,5,4,6] => [6,4,5,7,1,2,3]
[1,2,7,3,5,6,4] => [5,7,4,6,1,2,3]
[1,2,7,3,6,4,5] => [6,7,4,5,1,2,3]
[1,2,7,3,6,5,4] => [7,6,4,5,1,2,3]
[1,2,7,4,3,5,6] => [5,4,6,7,1,2,3]
[1,2,7,4,3,6,5] => [4,7,5,6,1,2,3]
[1,2,7,4,5,3,6] => [4,6,5,7,1,2,3]
[1,2,7,4,5,6,3] => [4,5,7,6,1,2,3]
[1,2,7,4,6,3,5] => [4,6,7,5,1,2,3]
[1,2,7,4,6,5,3] => [7,4,6,5,1,2,3]
[1,2,7,5,3,4,6] => [5,6,4,7,1,2,3]
[1,2,7,5,3,6,4] => [7,5,4,6,1,2,3]
[1,2,7,5,4,3,6] => [6,5,4,7,1,2,3]
[1,2,7,5,4,6,3] => [5,4,7,6,1,2,3]
[1,2,7,5,6,3,4] => [6,4,7,5,1,2,3]
[1,2,7,5,6,4,3] => [4,7,6,5,1,2,3]
[1,2,7,6,3,4,5] => [5,6,7,4,1,2,3]
[1,2,7,6,3,5,4] => [7,5,6,4,1,2,3]
[1,2,7,6,4,3,5] => [6,5,7,4,1,2,3]
[1,2,7,6,4,5,3] => [5,7,6,4,1,2,3]
[1,2,7,6,5,3,4] => [6,7,5,4,1,2,3]
[1,2,7,6,5,4,3] => [7,6,5,4,1,2,3]
[1,3,2,4,5,6,7] => [3,1,2,4,5,6,7]
[1,3,2,4,5,7,6] => [2,7,1,3,4,5,6]
[1,3,2,4,6,5,7] => [2,6,1,3,4,5,7]
[1,3,2,4,6,7,5] => [2,5,7,1,3,4,6]
[1,3,2,4,7,5,6] => [2,6,7,1,3,4,5]
[1,3,2,4,7,6,5] => [7,2,6,1,3,4,5]
[1,3,2,5,4,6,7] => [2,5,1,3,4,6,7]
[1,3,2,5,4,7,6] => [2,4,7,1,3,5,6]
[1,3,2,5,6,4,7] => [2,4,6,1,3,5,7]
[1,3,2,5,6,7,4] => [2,4,5,7,1,3,6]
[1,3,2,5,7,4,6] => [2,4,6,7,1,3,5]
[1,3,2,5,7,6,4] => [7,2,4,6,1,3,5]
[1,3,2,6,4,5,7] => [2,5,6,1,3,4,7]
[1,3,2,6,4,7,5] => [7,2,5,1,3,4,6]
[1,3,2,6,5,4,7] => [6,2,5,1,3,4,7]
[1,3,2,6,5,7,4] => [5,2,4,7,1,3,6]
[1,3,2,6,7,4,5] => [6,2,4,7,1,3,5]
[1,3,2,6,7,5,4] => [4,7,2,6,1,3,5]
[1,3,2,7,4,5,6] => [2,5,6,7,1,3,4]
[1,3,2,7,4,6,5] => [7,2,5,6,1,3,4]
[1,3,2,7,5,4,6] => [6,2,5,7,1,3,4]
[1,3,2,7,5,6,4] => [5,7,2,6,1,3,4]
[1,3,2,7,6,4,5] => [6,7,2,5,1,3,4]
[1,3,2,7,6,5,4] => [7,6,2,5,1,3,4]
[1,3,4,2,5,6,7] => [2,4,1,3,5,6,7]
[1,3,4,2,5,7,6] => [2,3,7,1,4,5,6]
[1,3,4,2,6,5,7] => [2,3,6,1,4,5,7]
[1,3,4,2,6,7,5] => [2,3,5,7,1,4,6]
[1,3,4,2,7,5,6] => [2,3,6,7,1,4,5]
[1,3,4,2,7,6,5] => [7,2,3,6,1,4,5]
[1,3,4,5,2,6,7] => [2,3,5,1,4,6,7]
[1,3,4,5,2,7,6] => [2,3,4,7,1,5,6]
[1,3,4,5,6,2,7] => [2,3,4,6,1,5,7]
[1,3,4,5,6,7,2] => [2,3,4,5,7,1,6]
[1,3,4,5,7,2,6] => [2,3,4,6,7,1,5]
[1,3,4,5,7,6,2] => [7,2,3,4,6,1,5]
[1,3,4,6,2,5,7] => [2,3,5,6,1,4,7]
[1,3,4,6,2,7,5] => [7,2,3,5,1,4,6]
[1,3,4,6,5,2,7] => [6,2,3,5,1,4,7]
[1,3,4,6,5,7,2] => [5,2,3,4,7,1,6]
[1,3,4,6,7,2,5] => [6,2,3,4,7,1,5]
[1,3,4,6,7,5,2] => [4,7,2,3,6,1,5]
[1,3,4,7,2,5,6] => [2,3,5,6,7,1,4]
[1,3,4,7,2,6,5] => [7,2,3,5,6,1,4]
[1,3,4,7,5,2,6] => [6,2,3,5,7,1,4]
[1,3,4,7,5,6,2] => [5,7,2,3,6,1,4]
[1,3,4,7,6,2,5] => [6,7,2,3,5,1,4]
[1,3,4,7,6,5,2] => [7,6,2,3,5,1,4]
[1,3,5,2,4,6,7] => [2,4,5,1,3,6,7]
[1,3,5,2,4,7,6] => [7,2,4,1,3,5,6]
[1,3,5,2,6,4,7] => [6,2,4,1,3,5,7]
[1,3,5,2,6,7,4] => [5,2,3,7,1,4,6]
[1,3,5,2,7,4,6] => [6,2,3,7,1,4,5]
[1,3,5,2,7,6,4] => [3,7,2,6,1,4,5]
[1,3,5,4,2,6,7] => [5,2,4,1,3,6,7]
[1,3,5,4,2,7,6] => [4,2,3,7,1,5,6]
[1,3,5,4,6,2,7] => [4,2,3,6,1,5,7]
[1,3,5,4,6,7,2] => [4,2,3,5,7,1,6]
[1,3,5,4,7,2,6] => [4,2,3,6,7,1,5]
[1,3,5,4,7,6,2] => [3,7,2,4,6,1,5]
[1,3,5,6,2,4,7] => [5,2,3,6,1,4,7]
[1,3,5,6,2,7,4] => [3,7,2,5,1,4,6]
[1,3,5,6,4,2,7] => [3,6,2,5,1,4,7]
[1,3,5,6,4,7,2] => [3,5,2,4,7,1,6]
[1,3,5,6,7,2,4] => [3,6,2,4,7,1,5]
[1,3,5,6,7,4,2] => [3,4,7,2,6,1,5]
[1,3,5,7,2,4,6] => [5,2,3,6,7,1,4]
[1,3,5,7,2,6,4] => [3,7,2,5,6,1,4]
[1,3,5,7,4,2,6] => [3,6,2,5,7,1,4]
[1,3,5,7,4,6,2] => [3,5,7,2,6,1,4]
[1,3,5,7,6,2,4] => [3,6,7,2,5,1,4]
[1,3,5,7,6,4,2] => [7,3,6,2,5,1,4]
[1,3,6,2,4,5,7] => [2,4,5,6,1,3,7]
[1,3,6,2,4,7,5] => [7,2,4,5,1,3,6]
[1,3,6,2,5,4,7] => [6,2,4,5,1,3,7]
[1,3,6,2,5,7,4] => [5,7,2,4,1,3,6]
[1,3,6,2,7,4,5] => [6,7,2,4,1,3,5]
[1,3,6,2,7,5,4] => [7,6,2,4,1,3,5]
[1,3,6,4,2,5,7] => [5,2,4,6,1,3,7]
[1,3,6,4,2,7,5] => [4,7,2,5,1,3,6]
[1,3,6,4,5,2,7] => [4,6,2,5,1,3,7]
[1,3,6,4,5,7,2] => [4,5,2,3,7,1,6]
[1,3,6,4,7,2,5] => [4,6,2,3,7,1,5]
[1,3,6,4,7,5,2] => [7,4,2,3,6,1,5]
[1,3,6,5,2,4,7] => [5,6,2,4,1,3,7]
[1,3,6,5,2,7,4] => [7,5,2,4,1,3,6]
[1,3,6,5,4,2,7] => [6,5,2,4,1,3,7]
[1,3,6,5,4,7,2] => [5,4,2,3,7,1,6]
[1,3,6,5,7,2,4] => [6,4,2,3,7,1,5]
[1,3,6,5,7,4,2] => [4,3,7,2,6,1,5]
[1,3,6,7,2,4,5] => [5,6,2,3,7,1,4]
[1,3,6,7,2,5,4] => [7,5,2,3,6,1,4]
[1,3,6,7,4,2,5] => [6,5,2,3,7,1,4]
[1,3,6,7,4,5,2] => [5,3,7,2,6,1,4]
[1,3,6,7,5,2,4] => [6,3,7,2,5,1,4]
[1,3,6,7,5,4,2] => [3,7,6,2,5,1,4]
[1,3,7,2,4,5,6] => [2,4,5,6,7,1,3]
[1,3,7,2,4,6,5] => [7,2,4,5,6,1,3]
[1,3,7,2,5,4,6] => [6,2,4,5,7,1,3]
[1,3,7,2,5,6,4] => [5,7,2,4,6,1,3]
[1,3,7,2,6,4,5] => [6,7,2,4,5,1,3]
[1,3,7,2,6,5,4] => [7,6,2,4,5,1,3]
[1,3,7,4,2,5,6] => [5,2,4,6,7,1,3]
[1,3,7,4,2,6,5] => [4,7,2,5,6,1,3]
[1,3,7,4,5,2,6] => [4,6,2,5,7,1,3]
[1,3,7,4,5,6,2] => [4,5,7,2,6,1,3]
[1,3,7,4,6,2,5] => [4,6,7,2,5,1,3]
[1,3,7,4,6,5,2] => [7,4,6,2,5,1,3]
[1,3,7,5,2,4,6] => [5,6,2,4,7,1,3]
[1,3,7,5,2,6,4] => [7,5,2,4,6,1,3]
[1,3,7,5,4,2,6] => [6,5,2,4,7,1,3]
[1,3,7,5,4,6,2] => [5,4,7,2,6,1,3]
[1,3,7,5,6,2,4] => [6,4,7,2,5,1,3]
[1,3,7,5,6,4,2] => [4,7,6,2,5,1,3]
[1,3,7,6,2,4,5] => [5,6,7,2,4,1,3]
[1,3,7,6,2,5,4] => [7,5,6,2,4,1,3]
[1,3,7,6,4,2,5] => [6,5,7,2,4,1,3]
[1,3,7,6,4,5,2] => [5,7,6,2,4,1,3]
[1,3,7,6,5,2,4] => [6,7,5,2,4,1,3]
[1,3,7,6,5,4,2] => [7,6,5,2,4,1,3]
[1,4,2,3,5,6,7] => [3,4,1,2,5,6,7]
[1,4,2,3,5,7,6] => [7,3,1,2,4,5,6]
[1,4,2,3,6,5,7] => [6,3,1,2,4,5,7]
[1,4,2,3,6,7,5] => [5,2,7,1,3,4,6]
[1,4,2,3,7,5,6] => [6,2,7,1,3,4,5]
[1,4,2,3,7,6,5] => [2,7,6,1,3,4,5]
[1,4,2,5,3,6,7] => [5,3,1,2,4,6,7]
[1,4,2,5,3,7,6] => [4,2,7,1,3,5,6]
[1,4,2,5,6,3,7] => [4,2,6,1,3,5,7]
[1,4,2,5,6,7,3] => [4,2,5,7,1,3,6]
[1,4,2,5,7,3,6] => [4,2,6,7,1,3,5]
[1,4,2,5,7,6,3] => [2,7,4,6,1,3,5]
[1,4,2,6,3,5,7] => [5,2,6,1,3,4,7]
[1,4,2,6,3,7,5] => [2,7,5,1,3,4,6]
[1,4,2,6,5,3,7] => [2,6,5,1,3,4,7]
[1,4,2,6,5,7,3] => [2,5,4,7,1,3,6]
[1,4,2,6,7,3,5] => [2,6,4,7,1,3,5]
[1,4,2,6,7,5,3] => [2,4,7,6,1,3,5]
[1,4,2,7,3,5,6] => [5,2,6,7,1,3,4]
[1,4,2,7,3,6,5] => [2,7,5,6,1,3,4]
[1,4,2,7,5,3,6] => [2,6,5,7,1,3,4]
[1,4,2,7,5,6,3] => [2,5,7,6,1,3,4]
[1,4,2,7,6,3,5] => [2,6,7,5,1,3,4]
[1,4,2,7,6,5,3] => [7,2,6,5,1,3,4]
[1,4,3,2,5,6,7] => [4,3,1,2,5,6,7]
[1,4,3,2,5,7,6] => [3,2,7,1,4,5,6]
[1,4,3,2,6,5,7] => [3,2,6,1,4,5,7]
[1,4,3,2,6,7,5] => [3,2,5,7,1,4,6]
[1,4,3,2,7,5,6] => [3,2,6,7,1,4,5]
[1,4,3,2,7,6,5] => [2,7,3,6,1,4,5]
[1,4,3,5,2,6,7] => [3,2,5,1,4,6,7]
[1,4,3,5,2,7,6] => [3,2,4,7,1,5,6]
[1,4,3,5,6,2,7] => [3,2,4,6,1,5,7]
[1,4,3,5,6,7,2] => [3,2,4,5,7,1,6]
[1,4,3,5,7,2,6] => [3,2,4,6,7,1,5]
[1,4,3,5,7,6,2] => [2,7,3,4,6,1,5]
[1,4,3,6,2,5,7] => [3,2,5,6,1,4,7]
[1,4,3,6,2,7,5] => [2,7,3,5,1,4,6]
[1,4,3,6,5,2,7] => [2,6,3,5,1,4,7]
[1,4,3,6,5,7,2] => [2,5,3,4,7,1,6]
[1,4,3,6,7,2,5] => [2,6,3,4,7,1,5]
[1,4,3,6,7,5,2] => [2,4,7,3,6,1,5]
[1,4,3,7,2,5,6] => [3,2,5,6,7,1,4]
[1,4,3,7,2,6,5] => [2,7,3,5,6,1,4]
[1,4,3,7,5,2,6] => [2,6,3,5,7,1,4]
[1,4,3,7,5,6,2] => [2,5,7,3,6,1,4]
[1,4,3,7,6,2,5] => [2,6,7,3,5,1,4]
[1,4,3,7,6,5,2] => [7,2,6,3,5,1,4]
[1,4,5,2,3,6,7] => [4,2,5,1,3,6,7]
[1,4,5,2,3,7,6] => [2,7,4,1,3,5,6]
[1,4,5,2,6,3,7] => [2,6,4,1,3,5,7]
[1,4,5,2,6,7,3] => [2,5,3,7,1,4,6]
[1,4,5,2,7,3,6] => [2,6,3,7,1,4,5]
[1,4,5,2,7,6,3] => [2,3,7,6,1,4,5]
[1,4,5,3,2,6,7] => [2,5,4,1,3,6,7]
[1,4,5,3,2,7,6] => [2,4,3,7,1,5,6]
[1,4,5,3,6,2,7] => [2,4,3,6,1,5,7]
[1,4,5,3,6,7,2] => [2,4,3,5,7,1,6]
[1,4,5,3,7,2,6] => [2,4,3,6,7,1,5]
[1,4,5,3,7,6,2] => [2,3,7,4,6,1,5]
[1,4,5,6,2,3,7] => [2,5,3,6,1,4,7]
[1,4,5,6,2,7,3] => [2,3,7,5,1,4,6]
[1,4,5,6,3,2,7] => [2,3,6,5,1,4,7]
[1,4,5,6,3,7,2] => [2,3,5,4,7,1,6]
[1,4,5,6,7,2,3] => [2,3,6,4,7,1,5]
[1,4,5,6,7,3,2] => [2,3,4,7,6,1,5]
[1,4,5,7,2,3,6] => [2,5,3,6,7,1,4]
[1,4,5,7,2,6,3] => [2,3,7,5,6,1,4]
[1,4,5,7,3,2,6] => [2,3,6,5,7,1,4]
[1,4,5,7,3,6,2] => [2,3,5,7,6,1,4]
[1,4,5,7,6,2,3] => [2,3,6,7,5,1,4]
[1,4,5,7,6,3,2] => [7,2,3,6,5,1,4]
[1,4,6,2,3,5,7] => [4,2,5,6,1,3,7]
[1,4,6,2,3,7,5] => [2,7,4,5,1,3,6]
[1,4,6,2,5,3,7] => [2,6,4,5,1,3,7]
[1,4,6,2,5,7,3] => [2,5,7,4,1,3,6]
[1,4,6,2,7,3,5] => [2,6,7,4,1,3,5]
[1,4,6,2,7,5,3] => [7,2,6,4,1,3,5]
[1,4,6,3,2,5,7] => [2,5,4,6,1,3,7]
[1,4,6,3,2,7,5] => [2,4,7,5,1,3,6]
[1,4,6,3,5,2,7] => [2,4,6,5,1,3,7]
[1,4,6,3,5,7,2] => [2,4,5,3,7,1,6]
[1,4,6,3,7,2,5] => [2,4,6,3,7,1,5]
[1,4,6,3,7,5,2] => [7,2,4,3,6,1,5]
[1,4,6,5,2,3,7] => [2,5,6,4,1,3,7]
[1,4,6,5,2,7,3] => [7,2,5,4,1,3,6]
[1,4,6,5,3,2,7] => [6,2,5,4,1,3,7]
-----------------------------------------------------------------------------
Created: Jan 26, 2020 at 12:31 by FindStatCrew
-----------------------------------------------------------------------------
Last Updated: Jan 26, 2020 at 12:31 by Martin Rubey