************************************************************************
*    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: Mp00298

------------------------------------------------------------------------
Map name: repeats to leading

------------------------------------------------------------------------
Domain: Parking functions

------------------------------------------------------------------------
Codomain: Parking functions

------------------------------------------------------------------------
Description: The unique parking function obtained by computing successive differences to obtain a Prüfer code, then prepending 0 and cyclically shifting.

Pollak's map [1] sends a parking function $(p_1,\dots,p_n)$ to the Prüfer code $(c_1,\dots,c_{n-1})$ with $c_i = p_{i+1} - p_i \pmod{n+1}$.

Let $c_0 = 0$.  This map returns the unique parking function $(q_1,\dots,q_n)$ such that $q_i - c_{i-1}$ is constant modulo $n+1$, see [2, sec 4].

This map sends the number of repeated elements to the number of occurrences of the first element.

------------------------------------------------------------------------
References: [1]   (service unreachable) [[MathSciNet:0234843]]
[2]   Stanley, R. P., Yin, M. Some enumerative properties of parking functions [[arXiv:2306.08681]]

------------------------------------------------------------------------
Code:

def mapping(p):
    if not p:
        return p
    return pruefer_to_parking_circular(parking_to_pruefer_pollak_riordan(p))

def parking_to_pruefer_pollak_riordan(p):
    n = len(p)
    return [(p[i+1] - p[i]) % (n+1) for i in range(n-1)]

def pruefer_to_parking_circular(c):
    pc = [0] + list(c)
    n = len(pc)
    P = ParkingFunctions(n)
    for i in range(n):
        if pc in P:
            break
        pc = [(e + 1) % (n+1) for e in pc]
    return ParkingFunction(pc)


------------------------------------------------------------------------
Map images:

[1]         => [1]
[1,1]       => [1,1]
[1,2]       => [1,2]
[2,1]       => [2,1]
[1,1,1]     => [1,1,1]
[1,1,2]     => [1,1,2]
[1,2,1]     => [2,3,1]
[2,1,1]     => [2,1,2]
[1,1,3]     => [1,1,3]
[1,3,1]     => [3,1,1]
[3,1,1]     => [1,3,1]
[1,2,2]     => [1,2,1]
[2,1,2]     => [2,1,3]
[2,2,1]     => [2,2,1]
[1,2,3]     => [1,2,2]
[1,3,2]     => [3,1,2]
[2,1,3]     => [3,2,1]
[2,3,1]     => [1,2,3]
[3,1,2]     => [1,3,2]
[3,2,1]     => [2,1,1]
[1,1,1,1]   => [1,1,1,1]
[1,1,1,2]   => [1,1,1,2]
[1,1,2,1]   => [2,2,3,1]
[1,2,1,1]   => [2,3,1,2]
[2,1,1,1]   => [2,1,2,2]
[1,1,1,3]   => [1,1,1,3]
[1,1,3,1]   => [1,1,3,4]
[1,3,1,1]   => [1,3,4,1]
[3,1,1,1]   => [1,4,1,1]
[1,1,1,4]   => [1,1,1,4]
[1,1,4,1]   => [1,1,4,3]
[1,4,1,1]   => [1,4,3,1]
[4,1,1,1]   => [1,3,1,1]
[1,1,2,2]   => [1,1,2,1]
[1,2,1,2]   => [2,3,1,3]
[1,2,2,1]   => [2,3,2,1]
[2,1,1,2]   => [2,1,2,3]
[2,1,2,1]   => [2,1,3,1]
[2,2,1,1]   => [2,2,1,2]
[1,1,2,3]   => [1,1,2,2]
[1,1,3,2]   => [2,2,4,1]
[1,2,1,3]   => [2,3,1,4]
[1,2,3,1]   => [1,2,2,4]
[1,3,1,2]   => [1,3,4,2]
[1,3,2,1]   => [2,4,1,1]
[2,1,1,3]   => [2,1,2,4]
[2,1,3,1]   => [4,3,1,2]
[2,3,1,1]   => [1,2,4,1]
[3,1,1,2]   => [1,4,1,2]
[3,1,2,1]   => [3,1,4,2]
[3,2,1,1]   => [2,1,1,2]
[1,1,2,4]   => [1,1,2,3]
[1,1,4,2]   => [3,3,1,1]
[1,2,1,4]   => [3,4,2,1]
[1,2,4,1]   => [1,2,3,3]
[1,4,1,2]   => [1,4,3,2]
[1,4,2,1]   => [3,1,1,2]
[2,1,1,4]   => [3,2,3,1]
[2,1,4,1]   => [4,3,2,1]
[2,4,1,1]   => [1,3,3,1]
[4,1,1,2]   => [1,3,1,2]
[4,1,2,1]   => [2,4,3,1]
[4,2,1,1]   => [3,1,2,3]
[1,1,3,3]   => [1,1,3,1]
[1,3,1,3]   => [4,1,2,1]
[1,3,3,1]   => [1,3,1,4]
[3,1,1,3]   => [1,4,1,3]
[3,1,3,1]   => [4,2,1,2]
[3,3,1,1]   => [1,1,4,1]
[1,1,3,4]   => [1,1,3,2]
[1,1,4,3]   => [3,3,1,2]
[1,3,1,4]   => [4,1,2,2]
[1,3,4,1]   => [1,3,2,3]
[1,4,1,3]   => [4,2,1,1]
[1,4,3,1]   => [3,1,2,1]
[3,1,1,4]   => [3,1,3,1]
[3,1,4,1]   => [4,2,2,1]
[3,4,1,1]   => [1,2,3,1]
[4,1,1,3]   => [1,3,1,3]
[4,1,3,1]   => [4,1,1,2]
[4,3,1,1]   => [3,2,1,3]
[1,2,2,2]   => [1,2,1,1]
[2,1,2,2]   => [2,1,3,2]
[2,2,1,2]   => [2,2,1,3]
[2,2,2,1]   => [2,2,2,1]
[1,2,2,3]   => [1,2,1,2]
[1,2,3,2]   => [2,3,3,1]
[1,3,2,2]   => [2,4,1,2]
[2,1,2,3]   => [2,1,3,3]
[2,1,3,2]   => [2,1,4,1]
[2,2,1,3]   => [2,2,1,4]
[2,2,3,1]   => [1,1,2,4]
[2,3,1,2]   => [1,2,4,2]
[2,3,2,1]   => [2,3,1,1]
[3,1,2,2]   => [1,4,2,1]
[3,2,1,2]   => [2,1,1,3]
[3,2,2,1]   => [2,1,2,1]
[1,2,2,4]   => [1,2,1,3]
[1,2,4,2]   => [1,2,3,4]
[1,4,2,2]   => [3,1,1,3]
[2,1,2,4]   => [2,1,3,4]
[2,1,4,2]   => [3,2,1,1]
[2,2,1,4]   => [3,3,2,1]
[2,2,4,1]   => [1,1,3,3]
[2,4,1,2]   => [1,3,3,2]
[2,4,2,1]   => [4,1,2,3]
[4,1,2,2]   => [1,3,2,1]
[4,2,1,2]   => [3,1,2,4]
[4,2,2,1]   => [3,1,3,2]
[1,2,3,3]   => [1,2,2,1]
[1,3,2,3]   => [2,4,1,3]
[1,3,3,2]   => [2,4,2,1]
[2,1,3,3]   => [2,1,4,2]
[2,3,1,3]   => [1,2,4,3]
[2,3,3,1]   => [1,2,1,4]
[3,1,2,3]   => [1,4,2,2]
[3,1,3,2]   => [4,2,1,3]
[3,2,1,3]   => [2,1,1,4]
[3,2,3,1]   => [3,2,4,1]
[3,3,1,2]   => [1,1,4,2]
[3,3,2,1]   => [2,2,1,1]
[1,2,3,4]   => [1,2,2,2]
[1,2,4,3]   => [2,3,4,1]
[1,3,2,4]   => [4,1,3,1]
[1,3,4,2]   => [1,3,2,4]
[1,4,2,3]   => [3,1,1,4]
[1,4,3,2]   => [3,1,2,2]
[2,1,3,4]   => [2,1,4,3]
[2,1,4,3]   => [3,2,1,2]
[2,3,1,4]   => [3,4,1,1]
[2,3,4,1]   => [1,2,2,3]
[2,4,1,3]   => [4,1,1,1]
[2,4,3,1]   => [4,1,3,2]
[3,1,2,4]   => [1,4,2,3]
[3,1,4,2]   => [3,1,1,1]
[3,2,1,4]   => [3,2,2,1]
[3,2,4,1]   => [4,3,1,1]
[3,4,1,2]   => [1,2,3,2]
[3,4,2,1]   => [3,4,1,2]
[4,1,2,3]   => [1,3,2,2]
[4,1,3,2]   => [4,1,1,3]
[4,2,1,3]   => [4,2,3,1]
[4,2,3,1]   => [3,1,4,1]
[4,3,1,2]   => [3,2,1,4]
[4,3,2,1]   => [2,1,1,1]
[1,1,1,1,1] => [1,1,1,1,1]
[1,1,1,1,2] => [1,1,1,1,2]
[1,1,1,2,1] => [2,2,2,3,1]
[1,1,2,1,1] => [2,2,3,1,2]
[1,2,1,1,1] => [2,3,1,2,2]
[2,1,1,1,1] => [2,1,2,2,2]
[1,1,1,1,3] => [1,1,1,1,3]
[1,1,1,3,1] => [1,1,1,3,5]
[1,1,3,1,1] => [1,1,3,5,1]
[1,3,1,1,1] => [1,3,5,1,1]
[3,1,1,1,1] => [1,5,1,1,1]
[1,1,1,1,4] => [1,1,1,1,4]
[1,1,1,4,1] => [1,1,1,4,4]
[1,1,4,1,1] => [1,1,4,4,1]
[1,4,1,1,1] => [1,4,4,1,1]
[4,1,1,1,1] => [1,4,1,1,1]
[1,1,1,1,5] => [1,1,1,1,5]
[1,1,1,5,1] => [1,1,1,5,3]
[1,1,5,1,1] => [1,1,5,3,1]
[1,5,1,1,1] => [1,5,3,1,1]
[5,1,1,1,1] => [1,3,1,1,1]
[1,1,1,2,2] => [1,1,1,2,1]
[1,1,2,1,2] => [2,2,3,1,3]
[1,1,2,2,1] => [2,2,3,2,1]
[1,2,1,1,2] => [2,3,1,2,3]
[1,2,1,2,1] => [2,3,1,3,1]
[1,2,2,1,1] => [2,3,2,1,2]
[2,1,1,1,2] => [2,1,2,2,3]
[2,1,1,2,1] => [2,1,2,3,1]
[2,1,2,1,1] => [2,1,3,1,2]
[2,2,1,1,1] => [2,2,1,2,2]
[1,1,1,2,3] => [1,1,1,2,2]
[1,1,1,3,2] => [2,2,2,4,1]
[1,1,2,1,3] => [2,2,3,1,4]
[1,1,2,3,1] => [1,1,2,2,5]
[1,1,3,1,2] => [1,1,3,5,2]
[1,1,3,2,1] => [2,2,4,1,1]
[1,2,1,1,3] => [2,3,1,2,4]
[1,2,1,3,1] => [3,4,2,5,1]
[1,2,3,1,1] => [1,2,2,5,1]
[1,3,1,1,2] => [1,3,5,1,2]
[1,3,1,2,1] => [3,5,1,4,2]
[1,3,2,1,1] => [2,4,1,1,2]
[2,1,1,1,3] => [2,1,2,2,4]
[2,1,1,3,1] => [3,2,3,5,1]
[2,1,3,1,1] => [3,2,5,1,3]
[2,3,1,1,1] => [1,2,5,1,1]
[3,1,1,1,2] => [1,5,1,1,2]
[3,1,1,2,1] => [3,1,3,4,2]
[3,1,2,1,1] => [3,1,4,2,3]
[3,2,1,1,1] => [2,1,1,2,2]
[1,1,1,2,4] => [1,1,1,2,3]
[1,1,1,4,2] => [1,1,1,4,5]
[1,1,2,1,4] => [2,2,3,1,5]
[1,1,2,4,1] => [1,1,2,3,4]
[1,1,4,1,2] => [1,1,4,4,2]
[1,1,4,2,1] => [4,4,1,2,3]
[1,2,1,1,4] => [2,3,1,2,5]
[1,2,1,4,1] => [4,5,3,1,1]
[1,2,4,1,1] => [1,2,3,4,1]
[1,4,1,1,2] => [1,4,4,1,2]
[1,4,1,2,1] => [4,1,1,5,3]
[1,4,2,1,1] => [4,1,2,3,4]
[2,1,1,1,4] => [2,1,2,2,5]
[2,1,1,4,1] => [4,3,4,1,1]
[2,1,4,1,1] => [4,3,1,1,4]
[2,4,1,1,1] => [1,3,4,1,1]
[4,1,1,1,2] => [1,4,1,1,2]
[4,1,1,2,1] => [2,5,2,3,1]
[4,1,2,1,1] => [2,5,3,1,2]
[4,2,1,1,1] => [3,1,2,3,3]
[1,1,1,2,5] => [1,1,1,2,4]
[1,1,1,5,2] => [1,1,1,5,4]
[1,1,2,1,5] => [3,3,4,2,1]
[1,1,2,5,1] => [1,1,2,4,3]
[1,1,5,1,2] => [1,1,5,3,2]
[1,1,5,2,1] => [4,4,2,1,3]
[1,2,1,1,5] => [3,4,2,3,1]
[1,2,1,5,1] => [3,4,2,1,5]
[1,2,5,1,1] => [1,2,4,3,1]
[1,5,1,1,2] => [1,5,3,1,2]
[1,5,1,2,1] => [3,1,5,4,2]
[1,5,2,1,1] => [4,2,1,3,4]
[2,1,1,1,5] => [3,2,3,3,1]
[2,1,1,5,1] => [3,2,3,1,5]
[2,1,5,1,1] => [3,2,1,5,3]
[2,5,1,1,1] => [1,4,3,1,1]
[5,1,1,1,2] => [1,3,1,1,2]
[5,1,1,2,1] => [2,4,2,3,1]
[5,1,2,1,1] => [2,4,3,1,2]
[5,2,1,1,1] => [2,5,1,2,2]
[1,1,1,3,3] => [1,1,1,3,1]
[1,1,3,1,3] => [1,1,3,5,3]
[1,1,3,3,1] => [1,1,3,1,5]
[1,3,1,1,3] => [1,3,5,1,3]
[1,3,1,3,1] => [5,1,3,1,3]
[1,3,3,1,1] => [1,3,1,5,1]
[3,1,1,1,3] => [1,5,1,1,3]
[3,1,1,3,1] => [3,1,3,5,1]
[3,1,3,1,1] => [3,1,5,1,3]
[3,3,1,1,1] => [1,1,5,1,1]
[1,1,1,3,4] => [1,1,1,3,2]
[1,1,1,4,3] => [2,2,2,5,1]
[1,1,3,1,4] => [1,1,3,5,4]
[1,1,3,4,1] => [1,1,3,2,4]
[1,1,4,1,3] => [1,1,4,4,3]
[1,1,4,3,1] => [4,4,1,3,2]
[1,3,1,1,4] => [1,3,5,1,4]
[1,3,1,4,1] => [5,1,3,2,2]
[1,3,4,1,1] => [1,3,2,4,1]
[1,4,1,1,3] => [1,4,4,1,3]
[1,4,1,3,1] => [5,2,2,1,3]
[1,4,3,1,1] => [4,1,3,2,4]
[3,1,1,1,4] => [1,5,1,1,4]
[3,1,1,4,1] => [4,2,4,1,1]
[3,1,4,1,1] => [4,2,1,1,4]
[3,4,1,1,1] => [1,2,4,1,1]
[4,1,1,1,3] => [1,4,1,1,3]
[4,1,1,3,1] => [1,4,1,3,5]
[4,1,3,1,1] => [1,4,3,5,1]
[4,3,1,1,1] => [3,2,1,3,3]
[1,1,1,3,5] => [1,1,1,3,3]
[1,1,1,5,3] => [3,3,3,1,1]
[1,1,3,1,5] => [3,3,5,1,1]
[1,1,3,5,1] => [1,1,3,3,3]
[1,1,5,1,3] => [1,1,5,3,3]
[1,1,5,3,1] => [3,3,1,1,1]
[1,3,1,1,5] => [3,5,1,3,1]
[1,3,1,5,1] => [5,1,3,3,1]
[1,3,5,1,1] => [1,3,3,3,1]
[1,5,1,1,3] => [1,5,3,1,3]
[1,5,1,3,1] => [5,3,1,1,3]
[1,5,3,1,1] => [3,1,1,1,3]
[3,1,1,1,5] => [3,1,3,3,1]
[3,1,1,5,1] => [3,1,3,1,5]
[3,1,5,1,1] => [3,1,1,5,3]
[3,5,1,1,1] => [1,3,3,1,1]
[5,1,1,1,3] => [1,3,1,1,3]
[5,1,1,3,1] => [1,3,1,3,5]
[5,1,3,1,1] => [1,3,3,5,1]
[5,3,1,1,1] => [3,1,1,3,3]
[1,1,1,4,4] => [1,1,1,4,1]
[1,1,4,1,4] => [4,4,1,1,1]
[1,1,4,4,1] => [1,1,4,1,4]
[1,4,1,1,4] => [4,1,1,4,1]
[1,4,1,4,1] => [4,1,1,1,1]
[1,4,4,1,1] => [1,4,1,4,1]
[4,1,1,1,4] => [1,4,1,1,4]
[4,1,1,4,1] => [4,1,4,1,1]
[4,1,4,1,1] => [4,1,1,1,4]
[4,4,1,1,1] => [1,1,4,1,1]
[1,1,1,4,5] => [1,1,1,4,2]
[1,1,1,5,4] => [3,3,3,1,2]
[1,1,4,1,5] => [4,4,1,1,2]
[1,1,4,5,1] => [1,1,4,2,3]
[1,1,5,1,4] => [1,1,5,3,4]
[1,1,5,4,1] => [4,4,2,3,1]
[1,4,1,1,5] => [4,1,1,4,2]
[1,4,1,5,1] => [5,2,2,3,1]
[1,4,5,1,1] => [1,4,2,3,1]
[1,5,1,1,4] => [1,5,3,1,4]
[1,5,1,4,1] => [5,3,1,2,2]
[1,5,4,1,1] => [4,2,3,1,4]
[4,1,1,1,5] => [1,4,1,1,5]
[4,1,1,5,1] => [1,4,1,5,3]
[4,1,5,1,1] => [1,4,5,3,1]
[4,5,1,1,1] => [1,2,3,1,1]
[5,1,1,1,4] => [1,3,1,1,4]
[5,1,1,4,1] => [1,3,1,4,4]
[5,1,4,1,1] => [1,3,4,4,1]
[5,4,1,1,1] => [2,1,5,2,2]
[1,1,2,2,2] => [1,1,2,1,1]
[1,2,1,2,2] => [2,3,1,3,2]
[1,2,2,1,2] => [2,3,2,1,3]
[1,2,2,2,1] => [2,3,2,2,1]
[2,1,1,2,2] => [2,1,2,3,2]
[2,1,2,1,2] => [2,1,3,1,3]
[2,1,2,2,1] => [2,1,3,2,1]
[2,2,1,1,2] => [2,2,1,2,3]
[2,2,1,2,1] => [2,2,1,3,1]
[2,2,2,1,1] => [2,2,2,1,2]
[1,1,2,2,3] => [1,1,2,1,2]
[1,1,2,3,2] => [2,2,3,3,1]
[1,1,3,2,2] => [2,2,4,1,2]
[1,2,1,2,3] => [2,3,1,3,3]
[1,2,1,3,2] => [2,3,1,4,1]
[1,2,2,1,3] => [2,3,2,1,4]
[1,2,2,3,1] => [1,2,1,2,5]
[1,2,3,1,2] => [1,2,2,5,2]
[1,2,3,2,1] => [2,3,3,1,1]
[1,3,1,2,2] => [1,3,5,2,1]
[1,3,2,1,2] => [2,4,1,1,3]
[1,3,2,2,1] => [2,4,1,2,1]
[2,1,1,2,3] => [2,1,2,3,3]
[2,1,1,3,2] => [2,1,2,4,1]
[2,1,2,1,3] => [2,1,3,1,4]
[2,1,2,3,1] => [3,2,4,4,1]
[2,1,3,1,2] => [3,2,5,1,4]
[2,1,3,2,1] => [2,1,4,1,1]
[2,2,1,1,3] => [2,2,1,2,4]
[2,2,1,3,1] => [3,3,2,5,1]
[2,2,3,1,1] => [1,1,2,5,1]
[2,3,1,1,2] => [1,2,5,1,2]
[2,3,1,2,1] => [3,4,1,4,2]
[2,3,2,1,1] => [2,3,1,1,2]
[3,1,1,2,2] => [1,5,1,2,1]
[3,1,2,1,2] => [3,1,4,2,4]
[3,1,2,2,1] => [3,1,4,3,2]
[3,2,1,1,2] => [2,1,1,2,3]
[3,2,1,2,1] => [2,1,1,3,1]
[3,2,2,1,1] => [2,1,2,1,2]
[1,1,2,2,4] => [1,1,2,1,3]
[1,1,2,4,2] => [1,1,2,3,5]
[1,1,4,2,2] => [1,1,4,5,1]
[1,2,1,2,4] => [2,3,1,3,4]
[1,2,1,4,2] => [4,5,3,1,2]
[1,2,2,1,4] => [2,3,2,1,5]
[1,2,2,4,1] => [1,2,1,3,4]
[1,2,4,1,2] => [1,2,3,4,2]
[1,2,4,2,1] => [3,4,5,1,2]
[1,4,1,2,2] => [1,4,4,2,1]
[1,4,2,1,2] => [4,1,2,3,5]
[1,4,2,2,1] => [4,1,2,4,3]
[2,1,1,2,4] => [2,1,2,3,4]
[2,1,1,4,2] => [4,3,4,1,2]
[2,1,2,1,4] => [2,1,3,1,5]
[2,1,2,4,1] => [2,1,3,4,5]
[2,1,4,1,2] => [4,3,1,1,5]
[2,1,4,2,1] => [4,3,1,2,3]
[2,2,1,1,4] => [2,2,1,2,5]
[2,2,1,4,1] => [4,4,3,1,1]
[2,2,4,1,1] => [1,1,3,4,1]
[2,4,1,1,2] => [1,3,4,1,2]
[2,4,1,2,1] => [2,4,5,3,1]
[2,4,2,1,1] => [3,5,1,2,3]
[4,1,1,2,2] => [1,4,1,2,1]
[4,1,2,1,2] => [2,5,3,1,3]
[4,1,2,2,1] => [2,5,3,2,1]
[4,2,1,1,2] => [3,1,2,3,4]
[4,2,1,2,1] => [3,1,2,4,2]
[4,2,2,1,1] => [3,1,3,2,3]
[1,1,2,2,5] => [1,1,2,1,4]
[1,1,2,5,2] => [1,1,2,4,4]
[1,1,5,2,2] => [1,1,5,4,1]
[1,2,1,2,5] => [2,3,1,3,5]
[1,2,1,5,2] => [4,5,3,2,1]
[1,2,2,1,5] => [3,4,3,2,1]
[1,2,2,5,1] => [1,2,1,4,3]
[1,2,5,1,2] => [1,2,4,3,2]
[1,2,5,2,1] => [4,5,1,1,3]
[1,5,1,2,2] => [1,5,3,2,1]
[1,5,2,1,2] => [4,2,1,3,5]
[1,5,2,2,1] => [4,2,1,4,3]
[2,1,1,2,5] => [2,1,2,3,5]
[2,1,1,5,2] => [4,3,4,2,1]
[2,1,2,1,5] => [3,2,4,2,1]
[2,1,2,5,1] => [2,1,3,5,4]
[2,1,5,1,2] => [3,2,1,5,4]
[2,1,5,2,1] => [4,3,2,1,3]
[2,2,1,1,5] => [3,3,2,3,1]
[2,2,1,5,1] => [3,3,2,1,5]
[2,2,5,1,1] => [1,1,4,3,1]
[2,5,1,1,2] => [1,4,3,1,2]
[2,5,1,2,1] => [2,5,4,3,1]
[2,5,2,1,1] => [4,1,1,3,4]
[5,1,1,2,2] => [1,3,1,2,1]
[5,1,2,1,2] => [2,4,3,1,3]
[5,1,2,2,1] => [2,4,3,2,1]
[5,2,1,1,2] => [2,5,1,2,3]
[5,2,1,2,1] => [2,5,1,3,1]
[5,2,2,1,1] => [2,5,2,1,2]
[1,1,2,3,3] => [1,1,2,2,1]
[1,1,3,2,3] => [2,2,4,1,3]
[1,1,3,3,2] => [2,2,4,2,1]
[1,2,1,3,3] => [2,3,1,4,2]
[1,2,3,1,3] => [1,2,2,5,3]
[1,2,3,3,1] => [1,2,2,1,5]
[1,3,1,2,3] => [1,3,5,2,2]
[1,3,1,3,2] => [5,1,3,1,4]
[1,3,2,1,3] => [2,4,1,1,4]
[1,3,2,3,1] => [3,5,2,4,1]
[1,3,3,1,2] => [1,3,1,5,2]
[1,3,3,2,1] => [2,4,2,1,1]
[2,1,1,3,3] => [2,1,2,4,2]
[2,1,3,1,3] => [5,4,1,3,1]
[2,1,3,3,1] => [3,2,5,3,1]
[2,3,1,1,3] => [1,2,5,1,3]
[2,3,1,3,1] => [3,4,1,5,1]
[2,3,3,1,1] => [1,2,1,5,1]
[3,1,1,2,3] => [1,5,1,2,2]
[3,1,1,3,2] => [3,1,3,5,2]
[3,1,2,1,3] => [3,1,4,2,5]
[3,1,2,3,1] => [3,1,4,4,1]
[3,1,3,1,2] => [3,1,5,1,4]
[3,1,3,2,1] => [3,1,5,2,2]
[3,2,1,1,3] => [2,1,1,2,4]
[3,2,1,3,1] => [3,2,2,5,1]
[3,2,3,1,1] => [3,2,4,1,3]
[3,3,1,1,2] => [1,1,5,1,2]
[3,3,1,2,1] => [3,3,1,4,2]
[3,3,2,1,1] => [2,2,1,1,2]
[1,1,2,3,4] => [1,1,2,2,2]
[1,1,2,4,3] => [2,2,3,4,1]
[1,1,3,2,4] => [2,2,4,1,4]
[1,1,3,4,2] => [1,1,3,2,5]
[1,1,4,2,3] => [1,1,4,5,2]
[1,1,4,3,2] => [2,2,5,1,1]
[1,2,1,3,4] => [2,3,1,4,3]
[1,2,1,4,3] => [2,3,1,5,1]
[1,2,3,1,4] => [1,2,2,5,4]
[1,2,3,4,1] => [1,2,2,2,4]
[1,2,4,1,3] => [1,2,3,4,3]
[1,2,4,3,1] => [3,4,5,2,1]
[1,3,1,2,4] => [1,3,5,2,3]
[1,3,1,4,2] => [5,1,3,2,3]
[1,3,2,1,4] => [2,4,1,1,5]
[1,3,2,4,1] => [5,1,4,1,2]
[1,3,4,1,2] => [1,3,2,4,2]
[1,3,4,2,1] => [3,5,4,1,2]
[1,4,1,2,3] => [1,4,4,2,2]
[1,4,1,3,2] => [5,2,2,1,4]
[1,4,2,1,3] => [5,2,3,4,1]
[1,4,2,3,1] => [4,1,2,5,2]
[1,4,3,1,2] => [4,1,3,2,5]
[1,4,3,2,1] => [2,5,1,1,1]
[2,1,1,3,4] => [2,1,2,4,3]
[2,1,1,4,3] => [2,1,2,5,1]
[2,1,3,1,4] => [5,4,1,3,2]
[2,1,3,4,1] => [2,1,4,3,5]
[2,1,4,1,3] => [5,4,2,2,1]
[2,1,4,3,1] => [4,3,1,3,2]
[2,3,1,1,4] => [1,2,5,1,4]
[2,3,1,4,1] => [4,5,2,1,1]
[2,3,4,1,1] => [1,2,2,4,1]
[2,4,1,1,3] => [1,3,4,1,3]
[2,4,1,3,1] => [5,1,2,1,3]
[2,4,3,1,1] => [3,5,2,1,3]
[3,1,1,2,4] => [1,5,1,2,3]
[3,1,1,4,2] => [4,2,4,1,2]
[3,1,2,1,4] => [4,2,5,3,1]
[3,1,2,4,1] => [1,5,2,3,4]
[3,1,4,1,2] => [4,2,1,1,5]
[3,1,4,2,1] => [4,2,1,2,3]
[3,2,1,1,4] => [2,1,1,2,5]
[3,2,1,4,1] => [4,3,3,1,1]
[3,2,4,1,1] => [2,1,4,5,2]
[3,4,1,1,2] => [1,2,4,1,2]
[3,4,1,2,1] => [2,3,5,3,1]
[3,4,2,1,1] => [3,4,1,2,3]
[4,1,1,2,3] => [1,4,1,2,2]
[4,1,1,3,2] => [2,5,2,4,1]
[4,1,2,1,3] => [2,5,3,1,4]
[4,1,2,3,1] => [1,4,2,2,5]
[4,1,3,1,2] => [1,4,3,5,2]
[4,1,3,2,1] => [2,5,4,1,1]
[4,2,1,1,3] => [3,1,2,3,5]
[4,2,1,3,1] => [3,1,2,5,1]
[4,2,3,1,1] => [3,1,4,1,3]
[4,3,1,1,2] => [3,2,1,3,4]
[4,3,1,2,1] => [3,2,1,4,2]
[4,3,2,1,1] => [2,1,1,1,2]
[1,1,2,3,5] => [1,1,2,2,3]
[1,1,2,5,3] => [1,1,2,4,5]
[1,1,3,2,5] => [2,2,4,1,5]
[1,1,3,5,2] => [1,1,3,3,4]
[1,1,5,2,3] => [1,1,5,4,2]
[1,1,5,3,2] => [3,3,1,1,2]
[1,2,1,3,5] => [2,3,1,4,4]
[1,2,1,5,3] => [3,4,2,1,1]
[1,2,3,1,5] => [3,4,4,1,1]
[1,2,3,5,1] => [1,2,2,3,3]
[1,2,5,1,3] => [1,2,4,3,3]
[1,2,5,3,1] => [4,5,1,2,2]
[1,3,1,2,5] => [1,3,5,2,4]
[1,3,1,5,2] => [5,1,3,3,2]
[1,3,2,1,5] => [3,5,2,2,1]
[1,3,2,5,1] => [5,1,4,2,1]
[1,3,5,1,2] => [1,3,3,3,2]
[1,3,5,2,1] => [5,1,1,2,4]
[1,5,1,2,3] => [1,5,3,2,2]
[1,5,1,3,2] => [5,3,1,1,4]
[1,5,2,1,3] => [5,3,2,4,1]
[1,5,2,3,1] => [4,2,1,5,2]
[1,5,3,1,2] => [3,1,1,1,4]
[1,5,3,2,1] => [3,1,1,2,2]
[2,1,1,3,5] => [2,1,2,4,4]
[2,1,1,5,3] => [3,2,3,1,1]
[2,1,3,1,5] => [3,2,5,1,1]
[2,1,3,5,1] => [5,4,1,1,1]
[2,1,5,1,3] => [5,4,3,1,1]
[2,1,5,3,1] => [3,2,1,1,1]
[2,3,1,1,5] => [3,4,1,3,1]
[2,3,1,5,1] => [3,4,1,1,5]
[2,3,5,1,1] => [1,2,3,3,1]
[2,5,1,1,3] => [1,4,3,1,3]
[2,5,1,3,1] => [5,2,1,1,3]
[2,5,3,1,1] => [4,1,2,2,4]
[3,1,1,2,5] => [1,5,1,2,4]
[3,1,1,5,2] => [4,2,4,2,1]
[3,1,2,1,5] => [3,1,4,2,1]
[3,1,2,5,1] => [1,5,2,4,3]
[3,1,5,1,2] => [3,1,1,5,4]
[3,1,5,2,1] => [4,2,2,1,3]
[3,2,1,1,5] => [3,2,2,3,1]
[3,2,1,5,1] => [3,2,2,1,5]
[3,2,5,1,1] => [2,1,5,4,2]
[3,5,1,1,2] => [1,3,3,1,2]
[3,5,1,2,1] => [2,4,4,3,1]
[3,5,2,1,1] => [2,4,5,1,2]
[5,1,1,2,3] => [1,3,1,2,2]
[5,1,1,3,2] => [2,4,2,4,1]
[5,1,2,1,3] => [2,4,3,1,4]
[5,1,2,3,1] => [1,3,2,2,5]
[5,1,3,1,2] => [1,3,3,5,2]
[5,1,3,2,1] => [2,4,4,1,1]
[5,2,1,1,3] => [2,5,1,2,4]
[5,2,1,3,1] => [5,2,4,1,3]
[5,2,3,1,1] => [1,4,2,5,1]
[5,3,1,1,2] => [3,1,1,3,4]
[5,3,1,2,1] => [3,1,1,4,2]
[5,3,2,1,1] => [3,1,2,2,3]
[1,1,2,4,4] => [1,1,2,3,1]
[1,1,4,2,4] => [1,1,4,5,3]
[1,1,4,4,2] => [1,1,4,1,5]
[1,2,1,4,4] => [2,3,1,5,2]
[1,2,4,1,4] => [1,2,3,4,4]
[1,2,4,4,1] => [1,2,3,1,4]
[1,4,1,2,4] => [1,4,4,2,3]
[1,4,1,4,2] => [4,1,1,1,2]
[1,4,2,1,4] => [4,1,2,3,1]
[1,4,2,4,1] => [5,2,3,1,2]
[1,4,4,1,2] => [1,4,1,4,2]
[1,4,4,2,1] => [4,1,4,2,3]
[2,1,1,4,4] => [2,1,2,5,2]
[2,1,4,1,4] => [4,3,1,1,1]
[2,1,4,4,1] => [4,3,1,4,1]
[2,4,1,1,4] => [1,3,4,1,4]
[2,4,1,4,1] => [5,1,2,2,2]
[2,4,4,1,1] => [1,3,1,4,1]
[4,1,1,2,4] => [1,4,1,2,3]
[4,1,1,4,2] => [4,1,4,1,2]
[4,1,2,1,4] => [4,1,5,3,1]
[4,1,2,4,1] => [1,4,2,3,4]
[4,1,4,1,2] => [4,1,1,1,5]
[4,1,4,2,1] => [4,1,1,2,3]
[4,2,1,1,4] => [4,2,3,4,1]
[4,2,1,4,1] => [4,2,3,1,1]
[4,2,4,1,1] => [1,5,3,4,1]
[4,4,1,1,2] => [1,1,4,1,2]
[4,4,1,2,1] => [2,2,5,3,1]
[4,4,2,1,1] => [3,3,1,2,3]
[1,1,2,4,5] => [1,1,2,3,2]
[1,1,2,5,4] => [2,2,3,5,1]
[1,1,4,2,5] => [4,4,1,2,1]
[1,1,4,5,2] => [1,1,4,2,4]
[1,1,5,2,4] => [1,1,5,4,3]
[1,1,5,4,2] => [3,3,1,2,1]
[1,2,1,4,5] => [2,3,1,5,3]
[1,2,1,5,4] => [3,4,2,1,2]
[1,2,4,1,5] => [1,2,3,4,5]
[1,2,4,5,1] => [1,2,3,2,3]
[1,2,5,1,4] => [1,2,4,3,4]
[1,2,5,4,1] => [4,5,1,3,1]
[1,4,1,2,5] => [4,1,1,5,1]
[1,4,1,5,2] => [4,1,1,2,1]
[1,4,2,1,5] => [4,1,2,3,2]
[1,4,2,5,1] => [5,2,3,2,1]
[1,4,5,1,2] => [1,4,2,3,2]
[1,4,5,2,1] => [4,1,5,1,3]
[1,5,1,2,4] => [1,5,3,2,3]
[1,5,1,4,2] => [5,3,1,2,3]
[1,5,2,1,4] => [4,2,1,3,1]
[1,5,2,4,1] => [5,3,2,1,2]
[1,5,4,1,2] => [4,2,3,1,5]
[1,5,4,2,1] => [3,1,2,1,2]
[2,1,1,4,5] => [2,1,2,5,3]
[2,1,1,5,4] => [3,2,3,1,2]
[2,1,4,1,5] => [4,3,1,1,2]
[2,1,4,5,1] => [2,1,5,3,4]
[2,1,5,1,4] => [5,4,3,1,2]
[2,1,5,4,1] => [4,3,2,3,1]
[2,4,1,1,5] => [1,3,4,1,5]
[2,4,1,5,1] => [5,1,2,3,1]
[2,4,5,1,1] => [1,3,2,3,1]
[2,5,1,1,4] => [1,4,3,1,4]
[2,5,1,4,1] => [5,2,1,2,2]
[2,5,4,1,1] => [4,1,3,1,4]
[4,1,1,2,5] => [1,4,1,2,4]
[4,1,1,5,2] => [4,1,4,2,1]
[4,1,2,1,5] => [4,1,5,3,2]
[4,1,2,5,1] => [1,4,2,4,3]
[4,1,5,1,2] => [1,4,5,3,2]
[4,1,5,2,1] => [4,1,2,1,3]
[4,2,1,1,5] => [3,1,2,3,1]
[4,2,1,5,1] => [3,1,2,1,5]
[4,2,5,1,1] => [1,5,4,3,1]
[4,5,1,1,2] => [1,2,3,1,2]
[4,5,1,2,1] => [2,3,4,3,1]
[4,5,2,1,1] => [2,3,5,1,2]
[5,1,1,2,4] => [1,3,1,2,3]
[5,1,1,4,2] => [1,3,1,4,5]
[5,1,2,1,4] => [2,4,3,1,5]
[5,1,2,4,1] => [1,3,2,3,4]
[5,1,4,1,2] => [1,3,4,4,2]
[5,1,4,2,1] => [5,1,2,3,4]
[5,2,1,1,4] => [4,1,3,4,1]
[5,2,1,4,1] => [4,1,3,1,1]
[5,2,4,1,1] => [1,4,3,4,1]
[5,4,1,1,2] => [2,1,5,2,3]
[5,4,1,2,1] => [2,1,5,3,1]
[5,4,2,1,1] => [3,2,1,2,3]
[1,1,3,3,3] => [1,1,3,1,1]
[1,3,1,3,3] => [1,3,5,3,1]
[1,3,3,1,3] => [1,3,1,5,3]
[1,3,3,3,1] => [1,3,1,1,5]
[3,1,1,3,3] => [1,5,1,3,1]
[3,1,3,1,3] => [5,3,1,3,1]
[3,1,3,3,1] => [3,1,5,3,1]
[3,3,1,1,3] => [1,1,5,1,3]
[3,3,1,3,1] => [3,3,1,5,1]
[3,3,3,1,1] => [1,1,1,5,1]
[1,1,3,3,4] => [1,1,3,1,2]
[1,1,3,4,3] => [2,2,4,3,1]
[1,1,4,3,3] => [2,2,5,1,2]
[1,3,1,3,4] => [1,3,5,3,2]
[1,3,1,4,3] => [5,1,3,2,4]
[1,3,3,1,4] => [1,3,1,5,4]
[1,3,3,4,1] => [1,3,1,2,4]
[1,3,4,1,3] => [1,3,2,4,3]
[1,3,4,3,1] => [3,5,4,2,1]
[1,4,1,3,3] => [1,4,4,3,1]
[1,4,3,1,3] => [5,2,4,3,1]
[1,4,3,3,1] => [4,1,3,4,2]
[3,1,1,3,4] => [1,5,1,3,2]
[3,1,1,4,3] => [4,2,4,1,3]
[3,1,3,1,4] => [5,3,1,3,2]
[3,1,3,4,1] => [1,5,3,2,4]
[3,1,4,1,3] => [5,3,2,2,1]
[3,1,4,3,1] => [4,2,1,3,2]
[3,3,1,1,4] => [1,1,5,1,4]
[3,3,1,4,1] => [4,4,2,1,1]
[3,3,4,1,1] => [1,1,2,4,1]
[3,4,1,1,3] => [1,2,4,1,3]
[3,4,1,3,1] => [1,2,4,3,5]
[3,4,3,1,1] => [3,4,2,1,3]
[4,1,1,3,3] => [1,4,1,3,1]
[4,1,3,1,3] => [5,2,1,3,1]
[4,1,3,3,1] => [1,4,3,1,5]
[4,3,1,1,3] => [3,2,1,3,5]
[4,3,1,3,1] => [3,2,1,5,1]
[4,3,3,1,1] => [3,2,3,1,3]
[1,1,3,3,5] => [1,1,3,1,3]
[1,1,3,5,3] => [1,1,3,3,5]
[1,1,5,3,3] => [3,3,1,1,3]
[1,3,1,3,5] => [5,1,3,1,1]
[1,3,1,5,3] => [3,5,1,1,1]
[1,3,3,1,5] => [3,5,3,1,1]
[1,3,3,5,1] => [1,3,1,3,3]
[1,3,5,1,3] => [5,1,1,1,1]
[1,3,5,3,1] => [5,1,1,3,3]
[1,5,1,3,3] => [1,5,3,3,1]
[1,5,3,1,3] => [3,1,1,1,5]
[1,5,3,3,1] => [3,1,1,3,1]
[3,1,1,3,5] => [1,5,1,3,3]
[3,1,1,5,3] => [3,1,3,1,1]
[3,1,3,1,5] => [3,1,5,1,1]
[3,1,3,5,1] => [5,3,1,1,1]
[3,1,5,1,3] => [5,3,3,1,1]
[3,1,5,3,1] => [3,1,1,1,1]
[3,3,1,1,5] => [3,3,1,3,1]
[3,3,1,5,1] => [3,3,1,1,5]
[3,3,5,1,1] => [1,1,3,3,1]
[3,5,1,1,3] => [1,3,3,1,3]
[3,5,1,3,1] => [5,1,1,1,3]
[3,5,3,1,1] => [3,5,1,1,3]
[5,1,1,3,3] => [1,3,1,3,1]
[5,1,3,1,3] => [5,1,1,3,1]
[5,1,3,3,1] => [1,3,3,1,5]
[5,3,1,1,3] => [3,1,1,3,5]
[5,3,1,3,1] => [3,1,1,5,1]
[5,3,3,1,1] => [3,1,3,1,3]
[1,1,3,4,4] => [1,1,3,2,1]
[1,1,4,3,4] => [2,2,5,1,3]
[1,1,4,4,3] => [2,2,5,2,1]
[1,3,1,4,4] => [1,3,5,4,1]
[1,3,4,1,4] => [1,3,2,4,4]
[1,3,4,4,1] => [1,3,2,1,4]
[1,4,1,3,4] => [1,4,4,3,2]
[1,4,1,4,3] => [4,1,1,1,3]
[1,4,3,1,4] => [4,1,3,2,1]
[1,4,3,4,1] => [4,1,3,5,1]
[1,4,4,1,3] => [1,4,1,4,3]
[1,4,4,3,1] => [4,1,4,3,2]
[3,1,1,4,4] => [1,5,1,4,1]
[3,1,4,1,4] => [4,2,1,1,1]
[3,1,4,4,1] => [4,2,1,4,1]
[3,4,1,1,4] => [1,2,4,1,4]
[3,4,1,4,1] => [4,5,1,1,1]
[3,4,4,1,1] => [1,2,1,4,1]
[4,1,1,3,4] => [1,4,1,3,2]
[4,1,1,4,3] => [4,1,4,1,3]
[4,1,3,1,4] => [5,2,1,3,2]
[4,1,3,4,1] => [1,4,3,2,4]
[4,1,4,1,3] => [5,2,2,2,1]
[4,1,4,3,1] => [4,1,1,3,2]
[4,3,1,1,4] => [4,3,2,4,1]
[4,3,1,4,1] => [4,3,2,1,1]
[4,3,4,1,1] => [2,1,3,5,2]
[4,4,1,1,3] => [1,1,4,1,3]
[4,4,1,3,1] => [1,1,4,3,5]
[4,4,3,1,1] => [3,3,2,1,3]
[1,1,3,4,5] => [1,1,3,2,2]
[1,1,3,5,4] => [2,2,4,4,1]
[1,1,4,3,5] => [2,2,5,1,4]
[1,1,4,5,3] => [1,1,4,2,5]
[1,1,5,3,4] => [3,3,1,1,4]
[1,1,5,4,3] => [3,3,1,2,2]
[1,3,1,4,5] => [1,3,5,4,2]
[1,3,1,5,4] => [3,5,1,1,2]
[1,3,4,1,5] => [1,3,2,4,5]
[1,3,4,5,1] => [1,3,2,2,3]
[1,3,5,1,4] => [5,1,1,1,2]
[1,3,5,4,1] => [5,1,1,4,2]
[1,4,1,3,5] => [5,2,2,1,1]
[1,4,1,5,3] => [4,1,1,2,2]
[1,4,3,1,5] => [4,1,3,2,2]
[1,4,3,5,1] => [5,2,4,1,1]
[1,4,5,1,3] => [1,4,2,3,3]
[1,4,5,3,1] => [4,1,5,2,2]
[1,5,1,3,4] => [1,5,3,3,2]
[1,5,1,4,3] => [5,3,1,2,4]
[1,5,3,1,4] => [4,2,2,2,1]
[1,5,3,4,1] => [4,2,2,5,1]
[1,5,4,1,3] => [5,3,4,2,1]
[1,5,4,3,1] => [3,1,2,2,1]
[3,1,1,4,5] => [1,5,1,4,2]
[3,1,1,5,4] => [3,1,3,1,2]
[3,1,4,1,5] => [4,2,1,1,2]
[3,1,4,5,1] => [1,5,4,2,3]
[3,1,5,1,4] => [5,3,3,1,2]
[3,1,5,4,1] => [4,2,2,3,1]
[3,4,1,1,5] => [1,2,4,1,5]
[3,4,1,5,1] => [1,2,4,5,3]
[3,4,5,1,1] => [1,2,2,3,1]
[3,5,1,1,4] => [1,3,3,1,4]
[3,5,1,4,1] => [5,1,1,2,2]
[3,5,4,1,1] => [2,4,1,5,2]
[4,1,1,3,5] => [1,4,1,3,3]
[4,1,1,5,3] => [4,1,4,2,2]
[4,1,3,1,5] => [5,2,1,3,3]
[4,1,3,5,1] => [5,2,1,1,1]
[4,1,5,1,3] => [5,2,3,1,1]
[4,1,5,3,1] => [4,1,2,2,2]
[4,3,1,1,5] => [3,2,1,3,1]
[4,3,1,5,1] => [3,2,1,1,5]
[4,3,5,1,1] => [2,1,4,4,2]
[4,5,1,1,3] => [1,2,3,1,3]
[4,5,1,3,1] => [1,2,3,3,5]
[4,5,3,1,1] => [3,4,1,1,3]
[5,1,1,3,4] => [1,3,1,3,2]
[5,1,1,4,3] => [2,4,2,5,1]
[5,1,3,1,4] => [5,1,1,3,2]
[5,1,3,4,1] => [1,3,3,2,4]
[5,1,4,1,3] => [5,1,2,2,1]
[5,1,4,3,1] => [5,1,2,4,3]
[5,3,1,1,4] => [4,2,2,4,1]
[5,3,1,4,1] => [4,2,2,1,1]
[5,3,4,1,1] => [1,5,2,4,1]
[5,4,1,1,3] => [2,1,5,2,4]
[5,4,1,3,1] => [5,4,2,1,3]
[5,4,3,1,1] => [3,2,2,1,3]
[1,2,2,2,2] => [1,2,1,1,1]
[2,1,2,2,2] => [2,1,3,2,2]
[2,2,1,2,2] => [2,2,1,3,2]
[2,2,2,1,2] => [2,2,2,1,3]
[2,2,2,2,1] => [2,2,2,2,1]
[1,2,2,2,3] => [1,2,1,1,2]
[1,2,2,3,2] => [2,3,2,3,1]
[1,2,3,2,2] => [2,3,3,1,2]
[1,3,2,2,2] => [2,4,1,2,2]
[2,1,2,2,3] => [2,1,3,2,3]
[2,1,2,3,2] => [2,1,3,3,1]
[2,1,3,2,2] => [2,1,4,1,2]
[2,2,1,2,3] => [2,2,1,3,3]
[2,2,1,3,2] => [2,2,1,4,1]
[2,2,2,1,3] => [2,2,2,1,4]
[2,2,2,3,1] => [1,1,1,2,5]
[2,2,3,1,2] => [1,1,2,5,2]
[2,2,3,2,1] => [2,2,3,1,1]
[2,3,1,2,2] => [1,2,5,2,1]
[2,3,2,1,2] => [2,3,1,1,3]
[2,3,2,2,1] => [2,3,1,2,1]
[3,1,2,2,2] => [1,5,2,1,1]
[3,2,1,2,2] => [2,1,1,3,2]
[3,2,2,1,2] => [2,1,2,1,3]
[3,2,2,2,1] => [2,1,2,2,1]
[1,2,2,2,4] => [1,2,1,1,3]
[1,2,2,4,2] => [1,2,1,3,5]
[1,2,4,2,2] => [1,2,3,5,1]
[1,4,2,2,2] => [1,4,5,1,1]
[2,1,2,2,4] => [2,1,3,2,4]
[2,1,2,4,2] => [3,2,4,5,1]
[2,1,4,2,2] => [4,3,1,2,4]
[2,2,1,2,4] => [2,2,1,3,4]
[2,2,1,4,2] => [4,4,3,1,2]
[2,2,2,1,4] => [2,2,2,1,5]
[2,2,2,4,1] => [1,1,1,3,4]
[2,2,4,1,2] => [1,1,3,4,2]
[2,2,4,2,1] => [3,3,5,1,2]
[2,4,1,2,2] => [1,3,4,2,1]
[2,4,2,1,2] => [3,5,1,2,4]
[2,4,2,2,1] => [3,5,1,3,2]
[4,1,2,2,2] => [1,4,2,1,1]
[4,2,1,2,2] => [3,1,2,4,3]
[4,2,2,1,2] => [3,1,3,2,4]
[4,2,2,2,1] => [3,1,3,3,2]
[1,2,2,2,5] => [1,2,1,1,4]
[1,2,2,5,2] => [1,2,1,4,4]
[1,2,5,2,2] => [1,2,4,4,1]
[1,5,2,2,2] => [1,5,4,1,1]
[2,1,2,2,5] => [2,1,3,2,5]
[2,1,2,5,2] => [4,3,5,1,1]
[2,1,5,2,2] => [4,3,2,1,4]
[2,2,1,2,5] => [2,2,1,3,5]
[2,2,1,5,2] => [4,4,3,2,1]
[2,2,2,1,5] => [3,3,3,2,1]
[2,2,2,5,1] => [1,1,1,4,3]
[2,2,5,1,2] => [1,1,4,3,2]
[2,2,5,2,1] => [4,4,1,1,3]
[2,5,1,2,2] => [1,4,3,2,1]
[2,5,2,1,2] => [4,1,1,3,5]
[2,5,2,2,1] => [4,1,1,4,3]
[5,1,2,2,2] => [1,3,2,1,1]
[5,2,1,2,2] => [2,5,1,3,2]
[5,2,2,1,2] => [2,5,2,1,3]
[5,2,2,2,1] => [2,5,2,2,1]
[1,2,2,3,3] => [1,2,1,2,1]
[1,2,3,2,3] => [2,3,3,1,3]
[1,2,3,3,2] => [2,3,3,2,1]
[1,3,2,2,3] => [2,4,1,2,3]
[1,3,2,3,2] => [2,4,1,3,1]
[1,3,3,2,2] => [2,4,2,1,2]
[2,1,2,3,3] => [2,1,3,3,2]
[2,1,3,2,3] => [2,1,4,1,3]
[2,1,3,3,2] => [2,1,4,2,1]
[2,2,1,3,3] => [2,2,1,4,2]
[2,2,3,1,3] => [1,1,2,5,3]
[2,2,3,3,1] => [1,1,2,1,5]
[2,3,1,2,3] => [1,2,5,2,2]
[2,3,1,3,2] => [3,4,1,5,2]
[2,3,2,1,3] => [2,3,1,1,4]
[2,3,2,3,1] => [3,4,2,4,1]
[2,3,3,1,2] => [1,2,1,5,2]
[2,3,3,2,1] => [2,3,2,1,1]
[3,1,2,2,3] => [1,5,2,1,2]
[3,1,2,3,2] => [3,1,4,4,2]
[3,1,3,2,2] => [3,1,5,2,3]
[3,2,1,2,3] => [2,1,1,3,3]
[3,2,1,3,2] => [2,1,1,4,1]
[3,2,2,1,3] => [2,1,2,1,4]
[3,2,2,3,1] => [3,2,3,4,1]
[3,2,3,1,2] => [3,2,4,1,4]
[3,2,3,2,1] => [2,1,3,1,1]
[3,3,1,2,2] => [1,1,5,2,1]
[3,3,2,1,2] => [2,2,1,1,3]
[3,3,2,2,1] => [2,2,1,2,1]
[1,2,2,3,4] => [1,2,1,2,2]
[1,2,2,4,3] => [2,3,2,4,1]
[1,2,3,2,4] => [2,3,3,1,4]
[1,2,3,4,2] => [1,2,2,2,5]
[1,2,4,2,3] => [1,2,3,5,2]
[1,2,4,3,2] => [2,3,4,1,1]
[1,3,2,2,4] => [2,4,1,2,4]
[1,3,2,4,2] => [5,1,4,1,3]
[1,3,4,2,2] => [1,3,2,5,1]
[1,4,2,2,3] => [1,4,5,1,2]
[1,4,2,3,2] => [4,1,2,5,3]
[1,4,3,2,2] => [2,5,1,1,2]
[2,1,2,3,4] => [2,1,3,3,3]
[2,1,2,4,3] => [2,1,3,4,1]
[2,1,3,2,4] => [2,1,4,1,4]
[2,1,3,4,2] => [3,2,5,4,1]
[2,1,4,2,3] => [4,3,1,2,5]
[2,1,4,3,2] => [2,1,5,1,1]
[2,2,1,3,4] => [2,2,1,4,3]
[2,2,1,4,3] => [2,2,1,5,1]
[2,2,3,1,4] => [1,1,2,5,4]
[2,2,3,4,1] => [1,1,2,2,4]
[2,2,4,1,3] => [1,1,3,4,3]
[2,2,4,3,1] => [3,3,5,2,1]
[2,3,1,2,4] => [1,2,5,2,3]
[2,3,1,4,2] => [4,5,2,1,2]
[2,3,2,1,4] => [2,3,1,1,5]
[2,3,2,4,1] => [2,3,1,4,5]
[2,3,4,1,2] => [1,2,2,4,2]
[2,3,4,2,1] => [3,4,4,1,2]
[2,4,1,2,3] => [1,3,4,2,2]
[2,4,1,3,2] => [5,1,2,1,4]
[2,4,2,1,3] => [5,1,3,4,1]
[2,4,2,3,1] => [3,5,1,4,1]
[2,4,3,1,2] => [3,5,2,1,4]
[2,4,3,2,1] => [2,4,1,1,1]
[3,1,2,2,4] => [1,5,2,1,3]
[3,1,2,4,2] => [3,1,4,5,1]
[3,1,4,2,2] => [4,2,1,2,4]
[3,2,1,2,4] => [2,1,1,3,4]
[3,2,1,4,2] => [4,3,3,1,2]
[3,2,2,1,4] => [2,1,2,1,5]
[3,2,2,4,1] => [2,1,2,4,5]
[3,2,4,1,2] => [2,1,4,5,3]
[3,2,4,2,1] => [3,2,5,1,2]
[3,4,1,2,2] => [1,2,4,2,1]
[3,4,2,1,2] => [3,4,1,2,4]
[3,4,2,2,1] => [3,4,1,3,2]
[4,1,2,2,3] => [1,4,2,1,2]
[4,1,2,3,2] => [2,5,3,3,1]
[4,1,3,2,2] => [2,5,4,1,2]
[4,2,1,2,3] => [3,1,2,4,4]
[4,2,1,3,2] => [3,1,2,5,2]
[4,2,2,1,3] => [3,1,3,2,5]
[4,2,2,3,1] => [3,1,3,4,1]
[4,2,3,1,2] => [3,1,4,1,4]
[4,2,3,2,1] => [3,1,4,2,2]
[4,3,1,2,2] => [3,2,1,4,3]
[4,3,2,1,2] => [2,1,1,1,3]
[4,3,2,2,1] => [2,1,1,2,1]
[1,2,2,3,5] => [1,2,1,2,3]
[1,2,2,5,3] => [1,2,1,4,5]
[1,2,3,2,5] => [2,3,3,1,5]
[1,2,3,5,2] => [1,2,2,3,4]
[1,2,5,2,3] => [1,2,4,4,2]
[1,2,5,3,2] => [4,5,1,2,3]
[1,3,2,2,5] => [2,4,1,2,5]
[1,3,2,5,2] => [5,1,4,2,2]
[1,3,5,2,2] => [1,3,3,4,1]
[1,5,2,2,3] => [1,5,4,1,2]
[1,5,2,3,2] => [4,2,1,5,3]
[1,5,3,2,2] => [3,1,1,2,3]
[2,1,2,3,5] => [2,1,3,3,4]
[2,1,2,5,3] => [4,3,5,1,2]
[2,1,3,2,5] => [2,1,4,1,5]
[2,1,3,5,2] => [5,4,1,1,2]
[2,1,5,2,3] => [4,3,2,1,5]
[2,1,5,3,2] => [3,2,1,1,2]
[2,2,1,3,5] => [2,2,1,4,4]
[2,2,1,5,3] => [3,3,2,1,1]
[2,2,3,1,5] => [3,3,4,1,1]
[2,2,3,5,1] => [1,1,2,3,3]
[2,2,5,1,3] => [1,1,4,3,3]
[2,2,5,3,1] => [4,4,1,2,2]
[2,3,1,2,5] => [1,2,5,2,4]
[2,3,1,5,2] => [4,5,2,2,1]
[2,3,2,1,5] => [3,4,2,2,1]
[2,3,2,5,1] => [2,3,1,5,4]
[2,3,5,1,2] => [1,2,3,3,2]
[2,3,5,2,1] => [2,3,4,5,1]
[2,5,1,2,3] => [1,4,3,2,2]
[2,5,1,3,2] => [5,2,1,1,4]
[2,5,2,1,3] => [5,2,2,4,1]
[2,5,2,3,1] => [4,1,1,5,2]
[2,5,3,1,2] => [4,1,2,2,5]
[2,5,3,2,1] => [4,1,2,3,3]
[3,1,2,2,5] => [1,5,2,1,4]
[3,1,2,5,2] => [4,2,5,1,1]
[3,1,5,2,2] => [4,2,2,1,4]
[3,2,1,2,5] => [2,1,1,3,5]
[3,2,1,5,2] => [4,3,3,2,1]
[3,2,2,1,5] => [3,2,3,2,1]
[3,2,2,5,1] => [2,1,2,5,4]
[3,2,5,1,2] => [2,1,5,4,3]
[3,2,5,2,1] => [4,3,1,1,3]
[3,5,1,2,2] => [1,3,3,2,1]
[3,5,2,1,2] => [2,4,5,1,3]
[3,5,2,2,1] => [2,4,5,2,1]
[5,1,2,2,3] => [1,3,2,1,2]
[5,1,2,3,2] => [2,4,3,3,1]
[5,1,3,2,2] => [2,4,4,1,2]
[5,2,1,2,3] => [2,5,1,3,3]
[5,2,1,3,2] => [2,5,1,4,1]
[5,2,2,1,3] => [2,5,2,1,4]
[5,2,2,3,1] => [1,4,1,2,5]
[5,2,3,1,2] => [1,4,2,5,2]
[5,2,3,2,1] => [2,5,3,1,1]
[5,3,1,2,2] => [3,1,1,4,3]
[5,3,2,1,2] => [3,1,2,2,4]
[5,3,2,2,1] => [3,1,2,3,2]
[1,2,2,4,4] => [1,2,1,3,1]
[1,2,4,2,4] => [1,2,3,5,3]
[1,2,4,4,2] => [1,2,3,1,5]
[1,4,2,2,4] => [1,4,5,1,3]
[1,4,2,4,2] => [5,2,3,1,3]
[1,4,4,2,2] => [1,4,1,5,1]
[2,1,2,4,4] => [2,1,3,4,2]
[2,1,4,2,4] => [5,4,2,3,1]
[2,1,4,4,2] => [4,3,1,4,2]
[2,2,1,4,4] => [2,2,1,5,2]
[2,2,4,1,4] => [1,1,3,4,4]
[2,2,4,4,1] => [1,1,3,1,4]
[2,4,1,2,4] => [1,3,4,2,3]
[2,4,1,4,2] => [5,1,2,2,3]
[2,4,2,1,4] => [5,1,3,4,2]
[2,4,2,4,1] => [5,1,3,1,2]
[2,4,4,1,2] => [1,3,1,4,2]
[2,4,4,2,1] => [3,5,3,1,2]
[4,1,2,2,4] => [1,4,2,1,3]
[4,1,2,4,2] => [1,4,2,3,5]
[4,1,4,2,2] => [4,1,1,2,4]
[4,2,1,2,4] => [3,1,2,4,5]
[4,2,1,4,2] => [4,2,3,1,2]
[4,2,2,1,4] => [4,2,4,3,1]
[4,2,2,4,1] => [1,5,1,3,4]
[4,2,4,1,2] => [1,5,3,4,2]
[4,2,4,2,1] => [3,1,5,1,2]
[4,4,1,2,2] => [1,1,4,2,1]
[4,4,2,1,2] => [3,3,1,2,4]
[4,4,2,2,1] => [3,3,1,3,2]
[1,2,2,4,5] => [1,2,1,3,2]
[1,2,2,5,4] => [2,3,2,5,1]
[1,2,4,2,5] => [1,2,3,5,4]
[1,2,4,5,2] => [1,2,3,2,4]
[1,2,5,2,4] => [1,2,4,4,3]
[1,2,5,4,2] => [4,5,1,3,2]
[1,4,2,2,5] => [4,1,2,4,1]
[1,4,2,5,2] => [4,1,2,1,1]
[1,4,5,2,2] => [1,4,2,4,1]
[1,5,2,2,4] => [1,5,4,1,3]
[1,5,2,4,2] => [5,3,2,1,3]
[1,5,4,2,2] => [3,1,2,1,3]
[2,1,2,4,5] => [2,1,3,4,3]
[2,1,2,5,4] => [2,1,3,5,1]
[2,1,4,2,5] => [4,3,1,2,1]
[2,1,4,5,2] => [4,3,1,5,1]
[2,1,5,2,4] => [5,4,3,2,1]
[2,1,5,4,2] => [3,2,1,2,1]
[2,2,1,4,5] => [2,2,1,5,3]
[2,2,1,5,4] => [3,3,2,1,2]
[2,2,4,1,5] => [1,1,3,4,5]
[2,2,4,5,1] => [1,1,3,2,3]
[2,2,5,1,4] => [1,1,4,3,4]
[2,2,5,4,1] => [4,4,1,3,1]
[2,4,1,2,5] => [1,3,4,2,4]
[2,4,1,5,2] => [5,1,2,3,2]
[2,4,2,1,5] => [3,5,1,2,1]
[2,4,2,5,1] => [5,1,3,2,1]
[2,4,5,1,2] => [1,3,2,3,2]
[2,4,5,2,1] => [2,4,3,5,1]
[2,5,1,2,4] => [1,4,3,2,3]
[2,5,1,4,2] => [5,2,1,2,3]
[2,5,2,1,4] => [4,1,1,3,1]
[2,5,2,4,1] => [5,2,2,1,2]
[2,5,4,1,2] => [4,1,3,1,5]
[2,5,4,2,1] => [4,1,3,2,3]
[4,1,2,2,5] => [1,4,2,1,4]
[4,1,2,5,2] => [4,1,5,1,1]
[4,1,5,2,2] => [4,1,2,1,4]
[4,2,1,2,5] => [4,2,3,5,1]
[4,2,1,5,2] => [4,2,3,2,1]
[4,2,2,1,5] => [3,1,3,2,1]
[4,2,2,5,1] => [1,5,1,4,3]
[4,2,5,1,2] => [1,5,4,3,2]
[4,2,5,2,1] => [4,2,1,1,3]
[4,5,1,2,2] => [1,2,3,2,1]
[4,5,2,1,2] => [2,3,5,1,3]
[4,5,2,2,1] => [2,3,5,2,1]
[5,1,2,2,4] => [1,3,2,1,3]
[5,1,2,4,2] => [1,3,2,3,5]
[5,1,4,2,2] => [1,3,4,5,1]
[5,2,1,2,4] => [2,5,1,3,4]
[5,2,1,4,2] => [4,1,3,1,2]
[5,2,2,1,4] => [4,1,4,3,1]
[5,2,2,4,1] => [1,4,1,3,4]
[5,2,4,1,2] => [1,4,3,4,2]
[5,2,4,2,1] => [5,2,1,3,4]
[5,4,1,2,2] => [2,1,5,3,2]
[5,4,2,1,2] => [3,2,1,2,4]
[5,4,2,2,1] => [3,2,1,3,2]
[1,2,3,3,3] => [1,2,2,1,1]
[1,3,2,3,3] => [2,4,1,3,2]
[1,3,3,2,3] => [2,4,2,1,3]
[1,3,3,3,2] => [2,4,2,2,1]
[2,1,3,3,3] => [2,1,4,2,2]
[2,3,1,3,3] => [1,2,5,3,1]
[2,3,3,1,3] => [1,2,1,5,3]
[2,3,3,3,1] => [1,2,1,1,5]
[3,1,2,3,3] => [1,5,2,2,1]
[3,1,3,2,3] => [3,1,5,2,4]
[3,1,3,3,2] => [3,1,5,3,2]
[3,2,1,3,3] => [2,1,1,4,2]
[3,2,3,1,3] => [3,2,4,1,5]
[3,2,3,3,1] => [3,2,4,3,1]
[3,3,1,2,3] => [1,1,5,2,2]
[3,3,1,3,2] => [3,3,1,5,2]
[3,3,2,1,3] => [2,2,1,1,4]
[3,3,2,3,1] => [3,3,2,4,1]
[3,3,3,1,2] => [1,1,1,5,2]
[3,3,3,2,1] => [2,2,2,1,1]
[1,2,3,3,4] => [1,2,2,1,2]
[1,2,3,4,3] => [2,3,3,3,1]
[1,2,4,3,3] => [2,3,4,1,2]
[1,3,2,3,4] => [2,4,1,3,3]
[1,3,2,4,3] => [2,4,1,4,1]
[1,3,3,2,4] => [2,4,2,1,4]
[1,3,3,4,2] => [1,3,1,2,5]
[1,3,4,2,3] => [1,3,2,5,2]
[1,3,4,3,2] => [2,4,3,1,1]
[1,4,2,3,3] => [1,4,5,2,1]
[1,4,3,2,3] => [2,5,1,1,3]
[1,4,3,3,2] => [2,5,1,2,1]
[2,1,3,3,4] => [2,1,4,2,3]
[2,1,3,4,3] => [2,1,4,3,1]
[2,1,4,3,3] => [2,1,5,1,2]
[2,3,1,3,4] => [1,2,5,3,2]
[2,3,1,4,3] => [4,5,2,1,3]
[2,3,3,1,4] => [1,2,1,5,4]
[2,3,3,4,1] => [1,2,1,2,4]
[2,3,4,1,3] => [1,2,2,4,3]
[2,3,4,3,1] => [3,4,4,2,1]
[2,4,1,3,3] => [1,3,4,3,1]
[2,4,3,1,3] => [5,1,4,3,1]
[2,4,3,3,1] => [3,5,2,3,1]
[3,1,2,3,4] => [1,5,2,2,2]
[3,1,2,4,3] => [3,1,4,5,2]
[3,1,3,2,4] => [5,3,1,4,1]
[3,1,3,4,2] => [3,1,5,4,1]
[3,1,4,2,3] => [4,2,1,2,5]
[3,1,4,3,2] => [4,2,1,3,3]
[3,2,1,3,4] => [2,1,1,4,3]
[3,2,1,4,3] => [2,1,1,5,1]
[3,2,3,1,4] => [4,3,5,2,1]
[3,2,3,4,1] => [2,1,3,3,5]
[3,2,4,1,3] => [5,4,1,2,1]
[3,2,4,3,1] => [3,2,5,2,1]
[3,3,1,2,4] => [1,1,5,2,3]
[3,3,1,4,2] => [4,4,2,1,2]
[3,3,2,1,4] => [2,2,1,1,5]
[3,3,2,4,1] => [2,2,1,4,5]
[3,3,4,1,2] => [1,1,2,4,2]
[3,3,4,2,1] => [3,3,4,1,2]
[3,4,1,2,3] => [1,2,4,2,2]
[3,4,1,3,2] => [2,3,5,4,1]
[3,4,2,1,3] => [3,4,1,2,5]
[3,4,2,3,1] => [3,4,1,4,1]
[3,4,3,1,2] => [3,4,2,1,4]
[3,4,3,2,1] => [2,3,1,1,1]
[4,1,2,3,3] => [1,4,2,2,1]
[4,1,3,2,3] => [2,5,4,1,3]
[4,1,3,3,2] => [2,5,4,2,1]
[4,2,1,3,3] => [3,1,2,5,3]
[4,2,3,1,3] => [3,1,4,1,5]
[4,2,3,3,1] => [3,1,4,3,1]
[4,3,1,2,3] => [3,2,1,4,4]
[4,3,1,3,2] => [3,2,1,5,2]
[4,3,2,1,3] => [2,1,1,1,4]
[4,3,2,3,1] => [3,2,2,4,1]
[4,3,3,1,2] => [3,2,3,1,4]

-----------------------------------------------------------------------------
Created: Jun 16, 2023 at 13:04 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Jun 16, 2023 at 22:44 by Martin Rubey