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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 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.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St000147

-----------------------------------------------------------------------------
Collection: Integer partitions

-----------------------------------------------------------------------------
Description: The largest part of an integer partition.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(L):
    if not L:
        return 0
    else:
        return L[0]

-----------------------------------------------------------------------------
Statistic values:

[]                                => 0
[1]                               => 1
[2]                               => 2
[1,1]                             => 1
[3]                               => 3
[2,1]                             => 2
[1,1,1]                           => 1
[4]                               => 4
[3,1]                             => 3
[2,2]                             => 2
[2,1,1]                           => 2
[1,1,1,1]                         => 1
[5]                               => 5
[4,1]                             => 4
[3,2]                             => 3
[3,1,1]                           => 3
[2,2,1]                           => 2
[2,1,1,1]                         => 2
[1,1,1,1,1]                       => 1
[6]                               => 6
[5,1]                             => 5
[4,2]                             => 4
[4,1,1]                           => 4
[3,3]                             => 3
[3,2,1]                           => 3
[3,1,1,1]                         => 3
[2,2,2]                           => 2
[2,2,1,1]                         => 2
[2,1,1,1,1]                       => 2
[1,1,1,1,1,1]                     => 1
[7]                               => 7
[6,1]                             => 6
[5,2]                             => 5
[5,1,1]                           => 5
[4,3]                             => 4
[4,2,1]                           => 4
[4,1,1,1]                         => 4
[3,3,1]                           => 3
[3,2,2]                           => 3
[3,2,1,1]                         => 3
[3,1,1,1,1]                       => 3
[2,2,2,1]                         => 2
[2,2,1,1,1]                       => 2
[2,1,1,1,1,1]                     => 2
[1,1,1,1,1,1,1]                   => 1
[8]                               => 8
[7,1]                             => 7
[6,2]                             => 6
[6,1,1]                           => 6
[5,3]                             => 5
[5,2,1]                           => 5
[5,1,1,1]                         => 5
[4,4]                             => 4
[4,3,1]                           => 4
[4,2,2]                           => 4
[4,2,1,1]                         => 4
[4,1,1,1,1]                       => 4
[3,3,2]                           => 3
[3,3,1,1]                         => 3
[3,2,2,1]                         => 3
[3,2,1,1,1]                       => 3
[3,1,1,1,1,1]                     => 3
[2,2,2,2]                         => 2
[2,2,2,1,1]                       => 2
[2,2,1,1,1,1]                     => 2
[2,1,1,1,1,1,1]                   => 2
[1,1,1,1,1,1,1,1]                 => 1
[9]                               => 9
[8,1]                             => 8
[7,2]                             => 7
[7,1,1]                           => 7
[6,3]                             => 6
[6,2,1]                           => 6
[6,1,1,1]                         => 6
[5,4]                             => 5
[5,3,1]                           => 5
[5,2,2]                           => 5
[5,2,1,1]                         => 5
[5,1,1,1,1]                       => 5
[4,4,1]                           => 4
[4,3,2]                           => 4
[4,3,1,1]                         => 4
[4,2,2,1]                         => 4
[4,2,1,1,1]                       => 4
[4,1,1,1,1,1]                     => 4
[3,3,3]                           => 3
[3,3,2,1]                         => 3
[3,3,1,1,1]                       => 3
[3,2,2,2]                         => 3
[3,2,2,1,1]                       => 3
[3,2,1,1,1,1]                     => 3
[3,1,1,1,1,1,1]                   => 3
[2,2,2,2,1]                       => 2
[2,2,2,1,1,1]                     => 2
[2,2,1,1,1,1,1]                   => 2
[2,1,1,1,1,1,1,1]                 => 2
[1,1,1,1,1,1,1,1,1]               => 1
[10]                              => 10
[9,1]                             => 9
[8,2]                             => 8
[8,1,1]                           => 8
[7,3]                             => 7
[7,2,1]                           => 7
[7,1,1,1]                         => 7
[6,4]                             => 6
[6,3,1]                           => 6
[6,2,2]                           => 6
[6,2,1,1]                         => 6
[6,1,1,1,1]                       => 6
[5,5]                             => 5
[5,4,1]                           => 5
[5,3,2]                           => 5
[5,3,1,1]                         => 5
[5,2,2,1]                         => 5
[5,2,1,1,1]                       => 5
[5,1,1,1,1,1]                     => 5
[4,4,2]                           => 4
[4,4,1,1]                         => 4
[4,3,3]                           => 4
[4,3,2,1]                         => 4
[4,3,1,1,1]                       => 4
[4,2,2,2]                         => 4
[4,2,2,1,1]                       => 4
[4,2,1,1,1,1]                     => 4
[4,1,1,1,1,1,1]                   => 4
[3,3,3,1]                         => 3
[3,3,2,2]                         => 3
[3,3,2,1,1]                       => 3
[3,3,1,1,1,1]                     => 3
[3,2,2,2,1]                       => 3
[3,2,2,1,1,1]                     => 3
[3,2,1,1,1,1,1]                   => 3
[3,1,1,1,1,1,1,1]                 => 3
[2,2,2,2,2]                       => 2
[2,2,2,2,1,1]                     => 2
[2,2,2,1,1,1,1]                   => 2
[2,2,1,1,1,1,1,1]                 => 2
[2,1,1,1,1,1,1,1,1]               => 2
[1,1,1,1,1,1,1,1,1,1]             => 1
[11]                              => 11
[10,1]                            => 10
[9,2]                             => 9
[9,1,1]                           => 9
[8,3]                             => 8
[8,2,1]                           => 8
[8,1,1,1]                         => 8
[7,4]                             => 7
[7,3,1]                           => 7
[7,2,2]                           => 7
[7,2,1,1]                         => 7
[7,1,1,1,1]                       => 7
[6,5]                             => 6
[6,4,1]                           => 6
[6,3,2]                           => 6
[6,3,1,1]                         => 6
[6,2,2,1]                         => 6
[6,2,1,1,1]                       => 6
[6,1,1,1,1,1]                     => 6
[5,5,1]                           => 5
[5,4,2]                           => 5
[5,4,1,1]                         => 5
[5,3,3]                           => 5
[5,3,2,1]                         => 5
[5,3,1,1,1]                       => 5
[5,2,2,2]                         => 5
[5,2,2,1,1]                       => 5
[5,2,1,1,1,1]                     => 5
[5,1,1,1,1,1,1]                   => 5
[4,4,3]                           => 4
[4,4,2,1]                         => 4
[4,4,1,1,1]                       => 4
[4,3,3,1]                         => 4
[4,3,2,2]                         => 4
[4,3,2,1,1]                       => 4
[4,3,1,1,1,1]                     => 4
[4,2,2,2,1]                       => 4
[4,2,2,1,1,1]                     => 4
[4,2,1,1,1,1,1]                   => 4
[4,1,1,1,1,1,1,1]                 => 4
[3,3,3,2]                         => 3
[3,3,3,1,1]                       => 3
[3,3,2,2,1]                       => 3
[3,3,2,1,1,1]                     => 3
[3,3,1,1,1,1,1]                   => 3
[3,2,2,2,2]                       => 3
[3,2,2,2,1,1]                     => 3
[3,2,2,1,1,1,1]                   => 3
[3,2,1,1,1,1,1,1]                 => 3
[3,1,1,1,1,1,1,1,1]               => 3
[2,2,2,2,2,1]                     => 2
[2,2,2,2,1,1,1]                   => 2
[2,2,2,1,1,1,1,1]                 => 2
[2,2,1,1,1,1,1,1,1]               => 2
[2,1,1,1,1,1,1,1,1,1]             => 2
[1,1,1,1,1,1,1,1,1,1,1]           => 1
[12]                              => 12
[11,1]                            => 11
[10,2]                            => 10
[10,1,1]                          => 10
[9,3]                             => 9
[9,2,1]                           => 9
[9,1,1,1]                         => 9
[8,4]                             => 8
[8,3,1]                           => 8
[8,2,2]                           => 8
[8,2,1,1]                         => 8
[8,1,1,1,1]                       => 8
[7,5]                             => 7
[7,4,1]                           => 7
[7,3,2]                           => 7
[7,3,1,1]                         => 7
[7,2,2,1]                         => 7
[7,2,1,1,1]                       => 7
[7,1,1,1,1,1]                     => 7
[6,6]                             => 6
[6,5,1]                           => 6
[6,4,2]                           => 6
[6,4,1,1]                         => 6
[6,3,3]                           => 6
[6,3,2,1]                         => 6
[6,3,1,1,1]                       => 6
[6,2,2,2]                         => 6
[6,2,2,1,1]                       => 6
[6,2,1,1,1,1]                     => 6
[6,1,1,1,1,1,1]                   => 6
[5,5,2]                           => 5
[5,5,1,1]                         => 5
[5,4,3]                           => 5
[5,4,2,1]                         => 5
[5,4,1,1,1]                       => 5
[5,3,3,1]                         => 5
[5,3,2,2]                         => 5
[5,3,2,1,1]                       => 5
[5,3,1,1,1,1]                     => 5
[5,2,2,2,1]                       => 5
[5,2,2,1,1,1]                     => 5
[5,2,1,1,1,1,1]                   => 5
[5,1,1,1,1,1,1,1]                 => 5
[4,4,4]                           => 4
[4,4,3,1]                         => 4
[4,4,2,2]                         => 4
[4,4,2,1,1]                       => 4
[4,4,1,1,1,1]                     => 4
[4,3,3,2]                         => 4
[4,3,3,1,1]                       => 4
[4,3,2,2,1]                       => 4
[4,3,2,1,1,1]                     => 4
[4,3,1,1,1,1,1]                   => 4
[4,2,2,2,2]                       => 4
[4,2,2,2,1,1]                     => 4
[4,2,2,1,1,1,1]                   => 4
[4,2,1,1,1,1,1,1]                 => 4
[4,1,1,1,1,1,1,1,1]               => 4
[3,3,3,3]                         => 3
[3,3,3,2,1]                       => 3
[3,3,3,1,1,1]                     => 3
[3,3,2,2,2]                       => 3
[3,3,2,2,1,1]                     => 3
[3,3,2,1,1,1,1]                   => 3
[3,3,1,1,1,1,1,1]                 => 3
[3,2,2,2,2,1]                     => 3
[3,2,2,2,1,1,1]                   => 3
[3,2,2,1,1,1,1,1]                 => 3
[3,2,1,1,1,1,1,1,1]               => 3
[3,1,1,1,1,1,1,1,1,1]             => 3
[2,2,2,2,2,2]                     => 2
[2,2,2,2,2,1,1]                   => 2
[2,2,2,2,1,1,1,1]                 => 2
[2,2,2,1,1,1,1,1,1]               => 2
[2,2,1,1,1,1,1,1,1,1]             => 2
[2,1,1,1,1,1,1,1,1,1,1]           => 2
[1,1,1,1,1,1,1,1,1,1,1,1]         => 1
[13]                              => 13
[12,1]                            => 12
[11,2]                            => 11
[11,1,1]                          => 11
[10,3]                            => 10
[10,2,1]                          => 10
[10,1,1,1]                        => 10
[9,4]                             => 9
[9,3,1]                           => 9
[9,2,2]                           => 9
[9,2,1,1]                         => 9
[9,1,1,1,1]                       => 9
[8,5]                             => 8
[8,4,1]                           => 8
[8,3,2]                           => 8
[8,3,1,1]                         => 8
[8,2,2,1]                         => 8
[8,2,1,1,1]                       => 8
[8,1,1,1,1,1]                     => 8
[7,6]                             => 7
[7,5,1]                           => 7
[7,4,2]                           => 7
[7,4,1,1]                         => 7
[7,3,3]                           => 7
[7,3,2,1]                         => 7
[7,3,1,1,1]                       => 7
[7,2,2,2]                         => 7
[7,2,2,1,1]                       => 7
[7,2,1,1,1,1]                     => 7
[7,1,1,1,1,1,1]                   => 7
[6,6,1]                           => 6
[6,5,2]                           => 6
[6,5,1,1]                         => 6
[6,4,3]                           => 6
[6,4,2,1]                         => 6
[6,4,1,1,1]                       => 6
[6,3,3,1]                         => 6
[6,3,2,2]                         => 6
[6,3,2,1,1]                       => 6
[6,3,1,1,1,1]                     => 6
[6,2,2,2,1]                       => 6
[6,2,2,1,1,1]                     => 6
[6,2,1,1,1,1,1]                   => 6
[6,1,1,1,1,1,1,1]                 => 6
[5,5,3]                           => 5
[5,5,2,1]                         => 5
[5,5,1,1,1]                       => 5
[5,4,4]                           => 5
[5,4,3,1]                         => 5
[5,4,2,2]                         => 5
[5,4,2,1,1]                       => 5
[5,4,1,1,1,1]                     => 5
[5,3,3,2]                         => 5
[5,3,3,1,1]                       => 5
[5,3,2,2,1]                       => 5
[5,3,2,1,1,1]                     => 5
[5,3,1,1,1,1,1]                   => 5
[5,2,2,2,2]                       => 5
[5,2,2,2,1,1]                     => 5
[5,2,2,1,1,1,1]                   => 5
[5,2,1,1,1,1,1,1]                 => 5
[5,1,1,1,1,1,1,1,1]               => 5
[4,4,4,1]                         => 4
[4,4,3,2]                         => 4
[4,4,3,1,1]                       => 4
[4,4,2,2,1]                       => 4
[4,4,2,1,1,1]                     => 4
[4,4,1,1,1,1,1]                   => 4
[4,3,3,3]                         => 4
[4,3,3,2,1]                       => 4
[4,3,3,1,1,1]                     => 4
[4,3,2,2,2]                       => 4
[4,3,2,2,1,1]                     => 4
[4,3,2,1,1,1,1]                   => 4
[4,3,1,1,1,1,1,1]                 => 4
[4,2,2,2,2,1]                     => 4
[4,2,2,2,1,1,1]                   => 4
[4,2,2,1,1,1,1,1]                 => 4
[4,2,1,1,1,1,1,1,1]               => 4
[4,1,1,1,1,1,1,1,1,1]             => 4
[3,3,3,3,1]                       => 3
[3,3,3,2,2]                       => 3
[3,3,3,2,1,1]                     => 3
[3,3,3,1,1,1,1]                   => 3
[3,3,2,2,2,1]                     => 3
[3,3,2,2,1,1,1]                   => 3
[3,3,2,1,1,1,1,1]                 => 3
[3,3,1,1,1,1,1,1,1]               => 3
[3,2,2,2,2,2]                     => 3
[3,2,2,2,2,1,1]                   => 3
[3,2,2,2,1,1,1,1]                 => 3
[3,2,2,1,1,1,1,1,1]               => 3
[3,2,1,1,1,1,1,1,1,1]             => 3
[3,1,1,1,1,1,1,1,1,1,1]           => 3
[2,2,2,2,2,2,1]                   => 2
[2,2,2,2,2,1,1,1]                 => 2
[2,2,2,2,1,1,1,1,1]               => 2
[2,2,2,1,1,1,1,1,1,1]             => 2
[2,2,1,1,1,1,1,1,1,1,1]           => 2
[2,1,1,1,1,1,1,1,1,1,1,1]         => 2
[1,1,1,1,1,1,1,1,1,1,1,1,1]       => 1
[14]                              => 14
[13,1]                            => 13
[12,2]                            => 12
[12,1,1]                          => 12
[11,3]                            => 11
[11,2,1]                          => 11
[11,1,1,1]                        => 11
[10,4]                            => 10
[10,3,1]                          => 10
[10,2,2]                          => 10
[10,2,1,1]                        => 10
[10,1,1,1,1]                      => 10
[9,5]                             => 9
[9,4,1]                           => 9
[9,3,2]                           => 9
[9,3,1,1]                         => 9
[9,2,2,1]                         => 9
[9,2,1,1,1]                       => 9
[9,1,1,1,1,1]                     => 9
[8,6]                             => 8
[8,5,1]                           => 8
[8,4,2]                           => 8
[8,4,1,1]                         => 8
[8,3,3]                           => 8
[8,3,2,1]                         => 8
[8,3,1,1,1]                       => 8
[8,2,2,2]                         => 8
[8,2,2,1,1]                       => 8
[8,2,1,1,1,1]                     => 8
[8,1,1,1,1,1,1]                   => 8
[7,7]                             => 7
[7,6,1]                           => 7
[7,5,2]                           => 7
[7,5,1,1]                         => 7
[7,4,3]                           => 7
[7,4,2,1]                         => 7
[7,4,1,1,1]                       => 7
[7,3,3,1]                         => 7
[7,3,2,2]                         => 7
[7,3,2,1,1]                       => 7
[7,3,1,1,1,1]                     => 7
[7,2,2,2,1]                       => 7
[7,2,2,1,1,1]                     => 7
[7,2,1,1,1,1,1]                   => 7
[7,1,1,1,1,1,1,1]                 => 7
[6,6,2]                           => 6
[6,6,1,1]                         => 6
[6,5,3]                           => 6
[6,5,2,1]                         => 6
[6,5,1,1,1]                       => 6
[6,4,4]                           => 6
[6,4,3,1]                         => 6
[6,4,2,2]                         => 6
[6,4,2,1,1]                       => 6
[6,4,1,1,1,1]                     => 6
[6,3,3,2]                         => 6
[6,3,3,1,1]                       => 6
[6,3,2,2,1]                       => 6
[6,3,2,1,1,1]                     => 6
[6,3,1,1,1,1,1]                   => 6
[6,2,2,2,2]                       => 6
[6,2,2,2,1,1]                     => 6
[6,2,2,1,1,1,1]                   => 6
[6,2,1,1,1,1,1,1]                 => 6
[6,1,1,1,1,1,1,1,1]               => 6
[5,5,4]                           => 5
[5,5,3,1]                         => 5
[5,5,2,2]                         => 5
[5,5,2,1,1]                       => 5
[5,5,1,1,1,1]                     => 5
[5,4,4,1]                         => 5
[5,4,3,2]                         => 5
[5,4,3,1,1]                       => 5
[5,4,2,2,1]                       => 5
[5,4,2,1,1,1]                     => 5
[5,4,1,1,1,1,1]                   => 5
[5,3,3,3]                         => 5
[5,3,3,2,1]                       => 5
[5,3,3,1,1,1]                     => 5
[5,3,2,2,2]                       => 5
[5,3,2,2,1,1]                     => 5
[5,3,2,1,1,1,1]                   => 5
[5,3,1,1,1,1,1,1]                 => 5
[5,2,2,2,2,1]                     => 5
[5,2,2,2,1,1,1]                   => 5
[5,2,2,1,1,1,1,1]                 => 5
[5,2,1,1,1,1,1,1,1]               => 5
[5,1,1,1,1,1,1,1,1,1]             => 5
[4,4,4,2]                         => 4
[4,4,4,1,1]                       => 4
[4,4,3,3]                         => 4
[4,4,3,2,1]                       => 4
[4,4,3,1,1,1]                     => 4
[4,4,2,2,2]                       => 4
[4,4,2,2,1,1]                     => 4
[4,4,2,1,1,1,1]                   => 4
[4,4,1,1,1,1,1,1]                 => 4
[4,3,3,3,1]                       => 4
[4,3,3,2,2]                       => 4
[4,3,3,2,1,1]                     => 4
[4,3,3,1,1,1,1]                   => 4
[4,3,2,2,2,1]                     => 4
[4,3,2,2,1,1,1]                   => 4
[4,3,2,1,1,1,1,1]                 => 4
[4,3,1,1,1,1,1,1,1]               => 4
[4,2,2,2,2,2]                     => 4
[4,2,2,2,2,1,1]                   => 4
[4,2,2,2,1,1,1,1]                 => 4
[4,2,2,1,1,1,1,1,1]               => 4
[4,2,1,1,1,1,1,1,1,1]             => 4
[4,1,1,1,1,1,1,1,1,1,1]           => 4
[3,3,3,3,2]                       => 3
[3,3,3,3,1,1]                     => 3
[3,3,3,2,2,1]                     => 3
[3,3,3,2,1,1,1]                   => 3
[3,3,3,1,1,1,1,1]                 => 3
[3,3,2,2,2,2]                     => 3
[3,3,2,2,2,1,1]                   => 3
[3,3,2,2,1,1,1,1]                 => 3
[3,3,2,1,1,1,1,1,1]               => 3
[3,3,1,1,1,1,1,1,1,1]             => 3
[3,2,2,2,2,2,1]                   => 3
[3,2,2,2,2,1,1,1]                 => 3
[3,2,2,2,1,1,1,1,1]               => 3
[3,2,2,1,1,1,1,1,1,1]             => 3
[3,2,1,1,1,1,1,1,1,1,1]           => 3
[3,1,1,1,1,1,1,1,1,1,1,1]         => 3
[2,2,2,2,2,2,2]                   => 2
[2,2,2,2,2,2,1,1]                 => 2
[2,2,2,2,2,1,1,1,1]               => 2
[2,2,2,2,1,1,1,1,1,1]             => 2
[2,2,2,1,1,1,1,1,1,1,1]           => 2
[2,2,1,1,1,1,1,1,1,1,1,1]         => 2
[2,1,1,1,1,1,1,1,1,1,1,1,1]       => 2
[1,1,1,1,1,1,1,1,1,1,1,1,1,1]     => 1
[15]                              => 15
[14,1]                            => 14
[13,2]                            => 13
[13,1,1]                          => 13
[12,3]                            => 12
[12,2,1]                          => 12
[12,1,1,1]                        => 12
[11,4]                            => 11
[11,3,1]                          => 11
[11,2,2]                          => 11
[11,2,1,1]                        => 11
[11,1,1,1,1]                      => 11
[10,5]                            => 10
[10,4,1]                          => 10
[10,3,2]                          => 10
[10,3,1,1]                        => 10
[10,2,2,1]                        => 10
[10,2,1,1,1]                      => 10
[10,1,1,1,1,1]                    => 10
[9,6]                             => 9
[9,5,1]                           => 9
[9,4,2]                           => 9
[9,4,1,1]                         => 9
[9,3,3]                           => 9
[9,3,2,1]                         => 9
[9,3,1,1,1]                       => 9
[9,2,2,2]                         => 9
[9,2,2,1,1]                       => 9
[9,2,1,1,1,1]                     => 9
[9,1,1,1,1,1,1]                   => 9
[8,7]                             => 8
[8,6,1]                           => 8
[8,5,2]                           => 8
[8,5,1,1]                         => 8
[8,4,3]                           => 8
[8,4,2,1]                         => 8
[8,4,1,1,1]                       => 8
[8,3,3,1]                         => 8
[8,3,2,2]                         => 8
[8,3,2,1,1]                       => 8
[8,3,1,1,1,1]                     => 8
[8,2,2,2,1]                       => 8
[8,2,2,1,1,1]                     => 8
[8,2,1,1,1,1,1]                   => 8
[8,1,1,1,1,1,1,1]                 => 8
[7,7,1]                           => 7
[7,6,2]                           => 7
[7,6,1,1]                         => 7
[7,5,3]                           => 7
[7,5,2,1]                         => 7
[7,5,1,1,1]                       => 7
[7,4,4]                           => 7
[7,4,3,1]                         => 7
[7,4,2,2]                         => 7
[7,4,2,1,1]                       => 7
[7,4,1,1,1,1]                     => 7
[7,3,3,2]                         => 7
[7,3,3,1,1]                       => 7
[7,3,2,2,1]                       => 7
[7,3,2,1,1,1]                     => 7
[7,3,1,1,1,1,1]                   => 7
[7,2,2,2,2]                       => 7
[7,2,2,2,1,1]                     => 7
[7,2,2,1,1,1,1]                   => 7
[7,2,1,1,1,1,1,1]                 => 7
[7,1,1,1,1,1,1,1,1]               => 7
[6,6,3]                           => 6
[6,6,2,1]                         => 6
[6,6,1,1,1]                       => 6
[6,5,4]                           => 6
[6,5,3,1]                         => 6
[6,5,2,2]                         => 6
[6,5,2,1,1]                       => 6
[6,5,1,1,1,1]                     => 6
[6,4,4,1]                         => 6
[6,4,3,2]                         => 6
[6,4,3,1,1]                       => 6
[6,4,2,2,1]                       => 6
[6,4,2,1,1,1]                     => 6
[6,4,1,1,1,1,1]                   => 6
[6,3,3,3]                         => 6
[6,3,3,2,1]                       => 6
[6,3,3,1,1,1]                     => 6
[6,3,2,2,2]                       => 6
[6,3,2,2,1,1]                     => 6
[6,3,2,1,1,1,1]                   => 6
[6,3,1,1,1,1,1,1]                 => 6
[6,2,2,2,2,1]                     => 6
[6,2,2,2,1,1,1]                   => 6
[6,2,2,1,1,1,1,1]                 => 6
[6,2,1,1,1,1,1,1,1]               => 6
[6,1,1,1,1,1,1,1,1,1]             => 6
[5,5,5]                           => 5
[5,5,4,1]                         => 5
[5,5,3,2]                         => 5
[5,5,3,1,1]                       => 5
[5,5,2,2,1]                       => 5
[5,5,2,1,1,1]                     => 5
[5,5,1,1,1,1,1]                   => 5
[5,4,4,2]                         => 5
[5,4,4,1,1]                       => 5
[5,4,3,3]                         => 5
[5,4,3,2,1]                       => 5
[5,4,3,1,1,1]                     => 5
[5,4,2,2,2]                       => 5
[5,4,2,2,1,1]                     => 5
[5,4,2,1,1,1,1]                   => 5
[5,4,1,1,1,1,1,1]                 => 5
[5,3,3,3,1]                       => 5
[5,3,3,2,2]                       => 5
[5,3,3,2,1,1]                     => 5
[5,3,3,1,1,1,1]                   => 5
[5,3,2,2,2,1]                     => 5
[5,3,2,2,1,1,1]                   => 5
[5,3,2,1,1,1,1,1]                 => 5
[5,3,1,1,1,1,1,1,1]               => 5
[5,2,2,2,2,2]                     => 5
[5,2,2,2,2,1,1]                   => 5
[5,2,2,2,1,1,1,1]                 => 5
[5,2,2,1,1,1,1,1,1]               => 5
[5,2,1,1,1,1,1,1,1,1]             => 5
[5,1,1,1,1,1,1,1,1,1,1]           => 5
[4,4,4,3]                         => 4
[4,4,4,2,1]                       => 4
[4,4,4,1,1,1]                     => 4
[4,4,3,3,1]                       => 4
[4,4,3,2,2]                       => 4
[4,4,3,2,1,1]                     => 4
[4,4,3,1,1,1,1]                   => 4
[4,4,2,2,2,1]                     => 4
[4,4,2,2,1,1,1]                   => 4
[4,4,2,1,1,1,1,1]                 => 4
[4,4,1,1,1,1,1,1,1]               => 4
[4,3,3,3,2]                       => 4
[4,3,3,3,1,1]                     => 4
[4,3,3,2,2,1]                     => 4
[4,3,3,2,1,1,1]                   => 4
[4,3,3,1,1,1,1,1]                 => 4
[4,3,2,2,2,2]                     => 4
[4,3,2,2,2,1,1]                   => 4
[4,3,2,2,1,1,1,1]                 => 4
[4,3,2,1,1,1,1,1,1]               => 4
[4,3,1,1,1,1,1,1,1,1]             => 4
[4,2,2,2,2,2,1]                   => 4
[4,2,2,2,2,1,1,1]                 => 4
[4,2,2,2,1,1,1,1,1]               => 4
[4,2,2,1,1,1,1,1,1,1]             => 4
[4,2,1,1,1,1,1,1,1,1,1]           => 4
[4,1,1,1,1,1,1,1,1,1,1,1]         => 4
[3,3,3,3,3]                       => 3
[3,3,3,3,2,1]                     => 3
[3,3,3,3,1,1,1]                   => 3
[3,3,3,2,2,2]                     => 3
[3,3,3,2,2,1,1]                   => 3
[3,3,3,2,1,1,1,1]                 => 3
[3,3,3,1,1,1,1,1,1]               => 3
[3,3,2,2,2,2,1]                   => 3
[3,3,2,2,2,1,1,1]                 => 3
[3,3,2,2,1,1,1,1,1]               => 3
[3,3,2,1,1,1,1,1,1,1]             => 3
[3,3,1,1,1,1,1,1,1,1,1]           => 3
[3,2,2,2,2,2,2]                   => 3
[3,2,2,2,2,2,1,1]                 => 3
[3,2,2,2,2,1,1,1,1]               => 3
[3,2,2,2,1,1,1,1,1,1]             => 3
[3,2,2,1,1,1,1,1,1,1,1]           => 3
[3,2,1,1,1,1,1,1,1,1,1,1]         => 3
[3,1,1,1,1,1,1,1,1,1,1,1,1]       => 3
[2,2,2,2,2,2,2,1]                 => 2
[2,2,2,2,2,2,1,1,1]               => 2
[2,2,2,2,2,1,1,1,1,1]             => 2
[2,2,2,2,1,1,1,1,1,1,1]           => 2
[2,2,2,1,1,1,1,1,1,1,1,1]         => 2
[2,2,1,1,1,1,1,1,1,1,1,1,1]       => 2
[2,1,1,1,1,1,1,1,1,1,1,1,1,1]     => 2
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]   => 1
[16]                              => 16
[15,1]                            => 15
[14,2]                            => 14
[14,1,1]                          => 14
[13,3]                            => 13
[13,2,1]                          => 13
[13,1,1,1]                        => 13
[12,4]                            => 12
[12,3,1]                          => 12
[12,2,2]                          => 12
[12,2,1,1]                        => 12
[12,1,1,1,1]                      => 12
[11,5]                            => 11
[11,4,1]                          => 11
[11,3,2]                          => 11
[11,3,1,1]                        => 11
[11,2,2,1]                        => 11
[11,2,1,1,1]                      => 11
[11,1,1,1,1,1]                    => 11
[10,6]                            => 10
[10,5,1]                          => 10
[10,4,2]                          => 10
[10,4,1,1]                        => 10
[10,3,3]                          => 10
[10,3,2,1]                        => 10
[10,3,1,1,1]                      => 10
[10,2,2,2]                        => 10
[10,2,2,1,1]                      => 10
[10,2,1,1,1,1]                    => 10
[10,1,1,1,1,1,1]                  => 10
[9,7]                             => 9
[9,6,1]                           => 9
[9,5,2]                           => 9
[9,5,1,1]                         => 9
[9,4,3]                           => 9
[9,4,2,1]                         => 9
[9,4,1,1,1]                       => 9
[9,3,3,1]                         => 9
[9,3,2,2]                         => 9
[9,3,2,1,1]                       => 9
[9,3,1,1,1,1]                     => 9
[9,2,2,2,1]                       => 9
[9,2,2,1,1,1]                     => 9
[9,2,1,1,1,1,1]                   => 9
[9,1,1,1,1,1,1,1]                 => 9
[8,8]                             => 8
[8,7,1]                           => 8
[8,6,2]                           => 8
[8,6,1,1]                         => 8
[8,5,3]                           => 8
[8,5,2,1]                         => 8
[8,5,1,1,1]                       => 8
[8,4,4]                           => 8
[8,4,3,1]                         => 8
[8,4,2,2]                         => 8
[8,4,2,1,1]                       => 8
[8,4,1,1,1,1]                     => 8
[8,3,3,2]                         => 8
[8,3,3,1,1]                       => 8
[8,3,2,2,1]                       => 8
[8,3,2,1,1,1]                     => 8
[8,3,1,1,1,1,1]                   => 8
[8,2,2,2,2]                       => 8
[8,2,2,2,1,1]                     => 8
[8,2,2,1,1,1,1]                   => 8
[8,2,1,1,1,1,1,1]                 => 8
[8,1,1,1,1,1,1,1,1]               => 8
[7,7,2]                           => 7
[7,7,1,1]                         => 7
[7,6,3]                           => 7
[7,6,2,1]                         => 7
[7,6,1,1,1]                       => 7
[7,5,4]                           => 7
[7,5,3,1]                         => 7
[7,5,2,2]                         => 7
[7,5,2,1,1]                       => 7
[7,5,1,1,1,1]                     => 7
[7,4,4,1]                         => 7
[7,4,3,2]                         => 7
[7,4,3,1,1]                       => 7
[7,4,2,2,1]                       => 7
[7,4,2,1,1,1]                     => 7
[7,4,1,1,1,1,1]                   => 7
[7,3,3,3]                         => 7
[7,3,3,2,1]                       => 7
[7,3,3,1,1,1]                     => 7
[7,3,2,2,2]                       => 7
[7,3,2,2,1,1]                     => 7
[7,3,2,1,1,1,1]                   => 7
[7,3,1,1,1,1,1,1]                 => 7
[7,2,2,2,2,1]                     => 7
[7,2,2,2,1,1,1]                   => 7
[7,2,2,1,1,1,1,1]                 => 7
[7,2,1,1,1,1,1,1,1]               => 7
[7,1,1,1,1,1,1,1,1,1]             => 7
[6,6,4]                           => 6
[6,6,3,1]                         => 6
[6,6,2,2]                         => 6
[6,6,2,1,1]                       => 6
[6,6,1,1,1,1]                     => 6
[6,5,5]                           => 6
[6,5,4,1]                         => 6
[6,5,3,2]                         => 6
[6,5,3,1,1]                       => 6
[6,5,2,2,1]                       => 6
[6,5,2,1,1,1]                     => 6
[6,5,1,1,1,1,1]                   => 6
[6,4,4,2]                         => 6
[6,4,4,1,1]                       => 6
[6,4,3,3]                         => 6
[6,4,3,2,1]                       => 6
[6,4,3,1,1,1]                     => 6
[6,4,2,2,2]                       => 6
[6,4,2,2,1,1]                     => 6
[6,4,2,1,1,1,1]                   => 6
[6,4,1,1,1,1,1,1]                 => 6
[6,3,3,3,1]                       => 6
[6,3,3,2,2]                       => 6
[6,3,3,2,1,1]                     => 6
[6,3,3,1,1,1,1]                   => 6
[6,3,2,2,2,1]                     => 6
[6,3,2,2,1,1,1]                   => 6
[6,3,2,1,1,1,1,1]                 => 6
[6,3,1,1,1,1,1,1,1]               => 6
[6,2,2,2,2,2]                     => 6
[6,2,2,2,2,1,1]                   => 6
[6,2,2,2,1,1,1,1]                 => 6
[6,2,2,1,1,1,1,1,1]               => 6
[6,2,1,1,1,1,1,1,1,1]             => 6
[6,1,1,1,1,1,1,1,1,1,1]           => 6
[5,5,5,1]                         => 5
[5,5,4,2]                         => 5
[5,5,4,1,1]                       => 5
[5,5,3,3]                         => 5
[5,5,3,2,1]                       => 5
[5,5,3,1,1,1]                     => 5
[5,5,2,2,2]                       => 5
[5,5,2,2,1,1]                     => 5
[5,5,2,1,1,1,1]                   => 5
[5,5,1,1,1,1,1,1]                 => 5
[5,4,4,3]                         => 5
[5,4,4,2,1]                       => 5
[5,4,4,1,1,1]                     => 5
[5,4,3,3,1]                       => 5
[5,4,3,2,2]                       => 5
[5,4,3,2,1,1]                     => 5
[5,4,3,1,1,1,1]                   => 5
[5,4,2,2,2,1]                     => 5
[5,4,2,2,1,1,1]                   => 5
[5,4,2,1,1,1,1,1]                 => 5
[5,4,1,1,1,1,1,1,1]               => 5
[5,3,3,3,2]                       => 5
[5,3,3,3,1,1]                     => 5
[5,3,3,2,2,1]                     => 5
[5,3,3,2,1,1,1]                   => 5
[5,3,3,1,1,1,1,1]                 => 5
[5,3,2,2,2,2]                     => 5
[5,3,2,2,2,1,1]                   => 5
[5,3,2,2,1,1,1,1]                 => 5
[5,3,2,1,1,1,1,1,1]               => 5
[5,3,1,1,1,1,1,1,1,1]             => 5
[5,2,2,2,2,2,1]                   => 5
[5,2,2,2,2,1,1,1]                 => 5
[5,2,2,2,1,1,1,1,1]               => 5
[5,2,2,1,1,1,1,1,1,1]             => 5
[5,2,1,1,1,1,1,1,1,1,1]           => 5
[5,1,1,1,1,1,1,1,1,1,1,1]         => 5
[4,4,4,4]                         => 4
[4,4,4,3,1]                       => 4
[4,4,4,2,2]                       => 4
[4,4,4,2,1,1]                     => 4
[4,4,4,1,1,1,1]                   => 4
[4,4,3,3,2]                       => 4
[4,4,3,3,1,1]                     => 4
[4,4,3,2,2,1]                     => 4
[4,4,3,2,1,1,1]                   => 4
[4,4,3,1,1,1,1,1]                 => 4
[4,4,2,2,2,2]                     => 4
[4,4,2,2,2,1,1]                   => 4
[4,4,2,2,1,1,1,1]                 => 4
[4,4,2,1,1,1,1,1,1]               => 4
[4,4,1,1,1,1,1,1,1,1]             => 4
[4,3,3,3,3]                       => 4
[4,3,3,3,2,1]                     => 4
[4,3,3,3,1,1,1]                   => 4
[4,3,3,2,2,2]                     => 4
[4,3,3,2,2,1,1]                   => 4
[4,3,3,2,1,1,1,1]                 => 4
[4,3,3,1,1,1,1,1,1]               => 4
[4,3,2,2,2,2,1]                   => 4
[4,3,2,2,2,1,1,1]                 => 4
[4,3,2,2,1,1,1,1,1]               => 4
[4,3,2,1,1,1,1,1,1,1]             => 4
[4,3,1,1,1,1,1,1,1,1,1]           => 4
[4,2,2,2,2,2,2]                   => 4
[4,2,2,2,2,2,1,1]                 => 4
[4,2,2,2,2,1,1,1,1]               => 4
[4,2,2,2,1,1,1,1,1,1]             => 4
[4,2,2,1,1,1,1,1,1,1,1]           => 4
[4,2,1,1,1,1,1,1,1,1,1,1]         => 4
[4,1,1,1,1,1,1,1,1,1,1,1,1]       => 4
[3,3,3,3,3,1]                     => 3
[3,3,3,3,2,2]                     => 3
[3,3,3,3,2,1,1]                   => 3
[3,3,3,3,1,1,1,1]                 => 3
[3,3,3,2,2,2,1]                   => 3
[3,3,3,2,2,1,1,1]                 => 3
[3,3,3,2,1,1,1,1,1]               => 3
[3,3,3,1,1,1,1,1,1,1]             => 3
[3,3,2,2,2,2,2]                   => 3
[3,3,2,2,2,2,1,1]                 => 3
[3,3,2,2,2,1,1,1,1]               => 3
[3,3,2,2,1,1,1,1,1,1]             => 3
[3,3,2,1,1,1,1,1,1,1,1]           => 3
[3,3,1,1,1,1,1,1,1,1,1,1]         => 3
[3,2,2,2,2,2,2,1]                 => 3
[3,2,2,2,2,2,1,1,1]               => 3
[3,2,2,2,2,1,1,1,1,1]             => 3
[3,2,2,2,1,1,1,1,1,1,1]           => 3
[3,2,2,1,1,1,1,1,1,1,1,1]         => 3
[3,2,1,1,1,1,1,1,1,1,1,1,1]       => 3
[3,1,1,1,1,1,1,1,1,1,1,1,1,1]     => 3
[2,2,2,2,2,2,2,2]                 => 2
[2,2,2,2,2,2,2,1,1]               => 2
[2,2,2,2,2,2,1,1,1,1]             => 2
[2,2,2,2,2,1,1,1,1,1,1]           => 2
[2,2,2,2,1,1,1,1,1,1,1,1]         => 2
[2,2,2,1,1,1,1,1,1,1,1,1,1]       => 2
[2,2,1,1,1,1,1,1,1,1,1,1,1,1]     => 2
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]   => 2
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[17]                              => 17
[16,1]                            => 16
[15,2]                            => 15
[15,1,1]                          => 15
[14,3]                            => 14
[14,2,1]                          => 14
[14,1,1,1]                        => 14
[13,4]                            => 13
[13,3,1]                          => 13
[13,2,2]                          => 13
[13,2,1,1]                        => 13
[13,1,1,1,1]                      => 13
[12,5]                            => 12
[12,4,1]                          => 12
[12,3,2]                          => 12
[12,3,1,1]                        => 12
[12,2,2,1]                        => 12
[12,2,1,1,1]                      => 12
[12,1,1,1,1,1]                    => 12
[11,6]                            => 11
[11,5,1]                          => 11
[11,4,2]                          => 11
[11,4,1,1]                        => 11
[11,3,3]                          => 11
[11,3,2,1]                        => 11
[11,3,1,1,1]                      => 11
[11,2,2,2]                        => 11
[11,2,2,1,1]                      => 11
[11,2,1,1,1,1]                    => 11
[11,1,1,1,1,1,1]                  => 11
[10,7]                            => 10
[10,6,1]                          => 10
[10,5,2]                          => 10
[10,5,1,1]                        => 10
[10,4,3]                          => 10
[10,4,2,1]                        => 10
[10,4,1,1,1]                      => 10
[10,3,3,1]                        => 10
[10,3,2,2]                        => 10
[10,3,2,1,1]                      => 10
[10,3,1,1,1,1]                    => 10
[10,2,2,2,1]                      => 10
[10,2,2,1,1,1]                    => 10
[10,2,1,1,1,1,1]                  => 10
[10,1,1,1,1,1,1,1]                => 10
[9,8]                             => 9
[9,7,1]                           => 9
[9,6,2]                           => 9
[9,6,1,1]                         => 9
[9,5,3]                           => 9
[9,5,2,1]                         => 9
[9,5,1,1,1]                       => 9
[9,4,4]                           => 9
[9,4,3,1]                         => 9
[9,4,2,2]                         => 9
[9,4,2,1,1]                       => 9
[9,4,1,1,1,1]                     => 9
[9,3,3,2]                         => 9
[9,3,3,1,1]                       => 9
[9,3,2,2,1]                       => 9
[9,3,2,1,1,1]                     => 9
[9,3,1,1,1,1,1]                   => 9
[9,2,2,2,2]                       => 9
[9,2,2,2,1,1]                     => 9
[9,2,2,1,1,1,1]                   => 9
[9,2,1,1,1,1,1,1]                 => 9
[9,1,1,1,1,1,1,1,1]               => 9
[8,8,1]                           => 8
[8,7,2]                           => 8
[8,7,1,1]                         => 8
[8,6,3]                           => 8
[8,6,2,1]                         => 8
[8,6,1,1,1]                       => 8
[8,5,4]                           => 8
[8,5,3,1]                         => 8
[8,5,2,2]                         => 8
[8,5,2,1,1]                       => 8
[8,5,1,1,1,1]                     => 8
[8,4,4,1]                         => 8
[8,4,3,2]                         => 8
[8,4,3,1,1]                       => 8
[8,4,2,2,1]                       => 8
[8,4,2,1,1,1]                     => 8
[8,4,1,1,1,1,1]                   => 8
[8,3,3,3]                         => 8
[8,3,3,2,1]                       => 8
[8,3,3,1,1,1]                     => 8
[8,3,2,2,2]                       => 8
[8,3,2,2,1,1]                     => 8
[8,3,2,1,1,1,1]                   => 8
[8,3,1,1,1,1,1,1]                 => 8
[8,2,2,2,2,1]                     => 8
[8,2,2,2,1,1,1]                   => 8
[8,2,2,1,1,1,1,1]                 => 8
[8,2,1,1,1,1,1,1,1]               => 8
[8,1,1,1,1,1,1,1,1,1]             => 8
[7,7,3]                           => 7
[7,7,2,1]                         => 7
[7,7,1,1,1]                       => 7
[7,6,4]                           => 7
[7,6,3,1]                         => 7
[7,6,2,2]                         => 7
[7,6,2,1,1]                       => 7
[7,6,1,1,1,1]                     => 7
[7,5,5]                           => 7
[7,5,4,1]                         => 7
[7,5,3,2]                         => 7
[7,5,3,1,1]                       => 7
[7,5,2,2,1]                       => 7
[7,5,2,1,1,1]                     => 7
[7,5,1,1,1,1,1]                   => 7
[7,4,4,2]                         => 7
[7,4,4,1,1]                       => 7
[7,4,3,3]                         => 7
[7,4,3,2,1]                       => 7
[7,4,3,1,1,1]                     => 7
[7,4,2,2,2]                       => 7
[7,4,2,2,1,1]                     => 7
[7,4,2,1,1,1,1]                   => 7
[7,4,1,1,1,1,1,1]                 => 7
[7,3,3,3,1]                       => 7
[7,3,3,2,2]                       => 7
[7,3,3,2,1,1]                     => 7
[7,3,3,1,1,1,1]                   => 7
[7,3,2,2,2,1]                     => 7
[7,3,2,2,1,1,1]                   => 7
[7,3,2,1,1,1,1,1]                 => 7
[7,3,1,1,1,1,1,1,1]               => 7
[7,2,2,2,2,2]                     => 7
[7,2,2,2,2,1,1]                   => 7
[7,2,2,2,1,1,1,1]                 => 7
[7,2,2,1,1,1,1,1,1]               => 7
[7,2,1,1,1,1,1,1,1,1]             => 7
[7,1,1,1,1,1,1,1,1,1,1]           => 7
[6,6,5]                           => 6
[6,6,4,1]                         => 6
[6,6,3,2]                         => 6
[6,6,3,1,1]                       => 6
[6,6,2,2,1]                       => 6
[6,6,2,1,1,1]                     => 6
[6,6,1,1,1,1,1]                   => 6
[6,5,5,1]                         => 6
[6,5,4,2]                         => 6
[6,5,4,1,1]                       => 6
[6,5,3,3]                         => 6
[6,5,3,2,1]                       => 6
[6,5,3,1,1,1]                     => 6
[6,5,2,2,2]                       => 6
[6,5,2,2,1,1]                     => 6
[6,5,2,1,1,1,1]                   => 6
[6,5,1,1,1,1,1,1]                 => 6
[6,4,4,3]                         => 6
[6,4,4,2,1]                       => 6
[6,4,4,1,1,1]                     => 6
[6,4,3,3,1]                       => 6
[6,4,3,2,2]                       => 6
[6,4,3,2,1,1]                     => 6
[6,4,3,1,1,1,1]                   => 6
[6,4,2,2,2,1]                     => 6
[6,4,2,2,1,1,1]                   => 6
[6,4,2,1,1,1,1,1]                 => 6
[6,4,1,1,1,1,1,1,1]               => 6
[6,3,3,3,2]                       => 6
[6,3,3,3,1,1]                     => 6
[6,3,3,2,2,1]                     => 6
[6,3,3,2,1,1,1]                   => 6
[6,3,3,1,1,1,1,1]                 => 6
[6,3,2,2,2,2]                     => 6
[6,3,2,2,2,1,1]                   => 6
[6,3,2,2,1,1,1,1]                 => 6
[6,3,2,1,1,1,1,1,1]               => 6
[6,3,1,1,1,1,1,1,1,1]             => 6
[6,2,2,2,2,2,1]                   => 6
[6,2,2,2,2,1,1,1]                 => 6
[6,2,2,2,1,1,1,1,1]               => 6
[6,2,2,1,1,1,1,1,1,1]             => 6
[6,2,1,1,1,1,1,1,1,1,1]           => 6
[6,1,1,1,1,1,1,1,1,1,1,1]         => 6
[5,5,5,2]                         => 5
[5,5,5,1,1]                       => 5
[5,5,4,3]                         => 5
[5,5,4,2,1]                       => 5
[5,5,4,1,1,1]                     => 5
[5,5,3,3,1]                       => 5
[5,5,3,2,2]                       => 5
[5,5,3,2,1,1]                     => 5

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Created: Jul 06, 2013 at 00:17 by Per Alexandersson

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Last Updated: Oct 29, 2017 at 16:50 by Martin Rubey