*****************************************************************************
*       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: St000382

-----------------------------------------------------------------------------
Collection: Integer compositions

-----------------------------------------------------------------------------
Description: The first part of an integer composition.

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

-----------------------------------------------------------------------------
Code:
def statistic(comp):
    return comp[0]


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

[1]                       => 1
[1,1]                     => 1
[2]                       => 2
[1,1,1]                   => 1
[1,2]                     => 1
[2,1]                     => 2
[3]                       => 3
[1,1,1,1]                 => 1
[1,1,2]                   => 1
[1,2,1]                   => 1
[1,3]                     => 1
[2,1,1]                   => 2
[2,2]                     => 2
[3,1]                     => 3
[4]                       => 4
[1,1,1,1,1]               => 1
[1,1,1,2]                 => 1
[1,1,2,1]                 => 1
[1,1,3]                   => 1
[1,2,1,1]                 => 1
[1,2,2]                   => 1
[1,3,1]                   => 1
[1,4]                     => 1
[2,1,1,1]                 => 2
[2,1,2]                   => 2
[2,2,1]                   => 2
[2,3]                     => 2
[3,1,1]                   => 3
[3,2]                     => 3
[4,1]                     => 4
[5]                       => 5
[1,1,1,1,1,1]             => 1
[1,1,1,1,2]               => 1
[1,1,1,2,1]               => 1
[1,1,1,3]                 => 1
[1,1,2,1,1]               => 1
[1,1,2,2]                 => 1
[1,1,3,1]                 => 1
[1,1,4]                   => 1
[1,2,1,1,1]               => 1
[1,2,1,2]                 => 1
[1,2,2,1]                 => 1
[1,2,3]                   => 1
[1,3,1,1]                 => 1
[1,3,2]                   => 1
[1,4,1]                   => 1
[1,5]                     => 1
[2,1,1,1,1]               => 2
[2,1,1,2]                 => 2
[2,1,2,1]                 => 2
[2,1,3]                   => 2
[2,2,1,1]                 => 2
[2,2,2]                   => 2
[2,3,1]                   => 2
[2,4]                     => 2
[3,1,1,1]                 => 3
[3,1,2]                   => 3
[3,2,1]                   => 3
[3,3]                     => 3
[4,1,1]                   => 4
[4,2]                     => 4
[5,1]                     => 5
[6]                       => 6
[1,1,1,1,1,1,1]           => 1
[1,1,1,1,1,2]             => 1
[1,1,1,1,2,1]             => 1
[1,1,1,1,3]               => 1
[1,1,1,2,1,1]             => 1
[1,1,1,2,2]               => 1
[1,1,1,3,1]               => 1
[1,1,1,4]                 => 1
[1,1,2,1,1,1]             => 1
[1,1,2,1,2]               => 1
[1,1,2,2,1]               => 1
[1,1,2,3]                 => 1
[1,1,3,1,1]               => 1
[1,1,3,2]                 => 1
[1,1,4,1]                 => 1
[1,1,5]                   => 1
[1,2,1,1,1,1]             => 1
[1,2,1,1,2]               => 1
[1,2,1,2,1]               => 1
[1,2,1,3]                 => 1
[1,2,2,1,1]               => 1
[1,2,2,2]                 => 1
[1,2,3,1]                 => 1
[1,2,4]                   => 1
[1,3,1,1,1]               => 1
[1,3,1,2]                 => 1
[1,3,2,1]                 => 1
[1,3,3]                   => 1
[1,4,1,1]                 => 1
[1,4,2]                   => 1
[1,5,1]                   => 1
[1,6]                     => 1
[2,1,1,1,1,1]             => 2
[2,1,1,1,2]               => 2
[2,1,1,2,1]               => 2
[2,1,1,3]                 => 2
[2,1,2,1,1]               => 2
[2,1,2,2]                 => 2
[2,1,3,1]                 => 2
[2,1,4]                   => 2
[2,2,1,1,1]               => 2
[2,2,1,2]                 => 2
[2,2,2,1]                 => 2
[2,2,3]                   => 2
[2,3,1,1]                 => 2
[2,3,2]                   => 2
[2,4,1]                   => 2
[2,5]                     => 2
[3,1,1,1,1]               => 3
[3,1,1,2]                 => 3
[3,1,2,1]                 => 3
[3,1,3]                   => 3
[3,2,1,1]                 => 3
[3,2,2]                   => 3
[3,3,1]                   => 3
[3,4]                     => 3
[4,1,1,1]                 => 4
[4,1,2]                   => 4
[4,2,1]                   => 4
[4,3]                     => 4
[5,1,1]                   => 5
[5,2]                     => 5
[6,1]                     => 6
[7]                       => 7
[1,1,1,1,1,1,1,1]         => 1
[1,1,1,1,1,1,2]           => 1
[1,1,1,1,1,2,1]           => 1
[1,1,1,1,1,3]             => 1
[1,1,1,1,2,1,1]           => 1
[1,1,1,1,2,2]             => 1
[1,1,1,1,3,1]             => 1
[1,1,1,1,4]               => 1
[1,1,1,2,1,1,1]           => 1
[1,1,1,2,1,2]             => 1
[1,1,1,2,2,1]             => 1
[1,1,1,2,3]               => 1
[1,1,1,3,1,1]             => 1
[1,1,1,3,2]               => 1
[1,1,1,4,1]               => 1
[1,1,1,5]                 => 1
[1,1,2,1,1,1,1]           => 1
[1,1,2,1,1,2]             => 1
[1,1,2,1,2,1]             => 1
[1,1,2,1,3]               => 1
[1,1,2,2,1,1]             => 1
[1,1,2,2,2]               => 1
[1,1,2,3,1]               => 1
[1,1,2,4]                 => 1
[1,1,3,1,1,1]             => 1
[1,1,3,1,2]               => 1
[1,1,3,2,1]               => 1
[1,1,3,3]                 => 1
[1,1,4,1,1]               => 1
[1,1,4,2]                 => 1
[1,1,5,1]                 => 1
[1,1,6]                   => 1
[1,2,1,1,1,1,1]           => 1
[1,2,1,1,1,2]             => 1
[1,2,1,1,2,1]             => 1
[1,2,1,1,3]               => 1
[1,2,1,2,1,1]             => 1
[1,2,1,2,2]               => 1
[1,2,1,3,1]               => 1
[1,2,1,4]                 => 1
[1,2,2,1,1,1]             => 1
[1,2,2,1,2]               => 1
[1,2,2,2,1]               => 1
[1,2,2,3]                 => 1
[1,2,3,1,1]               => 1
[1,2,3,2]                 => 1
[1,2,4,1]                 => 1
[1,2,5]                   => 1
[1,3,1,1,1,1]             => 1
[1,3,1,1,2]               => 1
[1,3,1,2,1]               => 1
[1,3,1,3]                 => 1
[1,3,2,1,1]               => 1
[1,3,2,2]                 => 1
[1,3,3,1]                 => 1
[1,3,4]                   => 1
[1,4,1,1,1]               => 1
[1,4,1,2]                 => 1
[1,4,2,1]                 => 1
[1,4,3]                   => 1
[1,5,1,1]                 => 1
[1,5,2]                   => 1
[1,6,1]                   => 1
[1,7]                     => 1
[2,1,1,1,1,1,1]           => 2
[2,1,1,1,1,2]             => 2
[2,1,1,1,2,1]             => 2
[2,1,1,1,3]               => 2
[2,1,1,2,1,1]             => 2
[2,1,1,2,2]               => 2
[2,1,1,3,1]               => 2
[2,1,1,4]                 => 2
[2,1,2,1,1,1]             => 2
[2,1,2,1,2]               => 2
[2,1,2,2,1]               => 2
[2,1,2,3]                 => 2
[2,1,3,1,1]               => 2
[2,1,3,2]                 => 2
[2,1,4,1]                 => 2
[2,1,5]                   => 2
[2,2,1,1,1,1]             => 2
[2,2,1,1,2]               => 2
[2,2,1,2,1]               => 2
[2,2,1,3]                 => 2
[2,2,2,1,1]               => 2
[2,2,2,2]                 => 2
[2,2,3,1]                 => 2
[2,2,4]                   => 2
[2,3,1,1,1]               => 2
[2,3,1,2]                 => 2
[2,3,2,1]                 => 2
[2,3,3]                   => 2
[2,4,1,1]                 => 2
[2,4,2]                   => 2
[2,5,1]                   => 2
[2,6]                     => 2
[3,1,1,1,1,1]             => 3
[3,1,1,1,2]               => 3
[3,1,1,2,1]               => 3
[3,1,1,3]                 => 3
[3,1,2,1,1]               => 3
[3,1,2,2]                 => 3
[3,1,3,1]                 => 3
[3,1,4]                   => 3
[3,2,1,1,1]               => 3
[3,2,1,2]                 => 3
[3,2,2,1]                 => 3
[3,2,3]                   => 3
[3,3,1,1]                 => 3
[3,3,2]                   => 3
[3,4,1]                   => 3
[3,5]                     => 3
[4,1,1,1,1]               => 4
[4,1,1,2]                 => 4
[4,1,2,1]                 => 4
[4,1,3]                   => 4
[4,2,1,1]                 => 4
[4,2,2]                   => 4
[4,3,1]                   => 4
[4,4]                     => 4
[5,1,1,1]                 => 5
[5,1,2]                   => 5
[5,2,1]                   => 5
[5,3]                     => 5
[6,1,1]                   => 6
[6,2]                     => 6
[7,1]                     => 7
[8]                       => 8
[1,1,1,1,1,1,1,1,1]       => 1
[1,1,1,1,1,1,1,2]         => 1
[1,1,1,1,1,1,2,1]         => 1
[1,1,1,1,1,1,3]           => 1
[1,1,1,1,1,2,1,1]         => 1
[1,1,1,1,1,2,2]           => 1
[1,1,1,1,1,3,1]           => 1
[1,1,1,1,1,4]             => 1
[1,1,1,1,2,1,1,1]         => 1
[1,1,1,1,2,1,2]           => 1
[1,1,1,1,2,2,1]           => 1
[1,1,1,1,2,3]             => 1
[1,1,1,1,3,1,1]           => 1
[1,1,1,1,3,2]             => 1
[1,1,1,1,4,1]             => 1
[1,1,1,1,5]               => 1
[1,1,1,2,1,1,1,1]         => 1
[1,1,1,2,1,1,2]           => 1
[1,1,1,2,1,2,1]           => 1
[1,1,1,2,1,3]             => 1
[1,1,1,2,2,1,1]           => 1
[1,1,1,2,2,2]             => 1
[1,1,1,2,3,1]             => 1
[1,1,1,2,4]               => 1
[1,1,1,3,1,1,1]           => 1
[1,1,1,3,1,2]             => 1
[1,1,1,3,2,1]             => 1
[1,1,1,3,3]               => 1
[1,1,1,4,1,1]             => 1
[1,1,1,4,2]               => 1
[1,1,1,5,1]               => 1
[1,1,1,6]                 => 1
[1,1,2,1,1,1,1,1]         => 1
[1,1,2,1,1,1,2]           => 1
[1,1,2,1,1,2,1]           => 1
[1,1,2,1,1,3]             => 1
[1,1,2,1,2,1,1]           => 1
[1,1,2,1,2,2]             => 1
[1,1,2,1,3,1]             => 1
[1,1,2,1,4]               => 1
[1,1,2,2,1,1,1]           => 1
[1,1,2,2,1,2]             => 1
[1,1,2,2,2,1]             => 1
[1,1,2,2,3]               => 1
[1,1,2,3,1,1]             => 1
[1,1,2,3,2]               => 1
[1,1,2,4,1]               => 1
[1,1,2,5]                 => 1
[1,1,3,1,1,1,1]           => 1
[1,1,3,1,1,2]             => 1
[1,1,3,1,2,1]             => 1
[1,1,3,1,3]               => 1
[1,1,3,2,1,1]             => 1
[1,1,3,2,2]               => 1
[1,1,3,3,1]               => 1
[1,1,3,4]                 => 1
[1,1,4,1,1,1]             => 1
[1,1,4,1,2]               => 1
[1,1,4,2,1]               => 1
[1,1,4,3]                 => 1
[1,1,5,1,1]               => 1
[1,1,5,2]                 => 1
[1,1,6,1]                 => 1
[1,1,7]                   => 1
[1,2,1,1,1,1,1,1]         => 1
[1,2,1,1,1,1,2]           => 1
[1,2,1,1,1,2,1]           => 1
[1,2,1,1,1,3]             => 1
[1,2,1,1,2,1,1]           => 1
[1,2,1,1,2,2]             => 1
[1,2,1,1,3,1]             => 1
[1,2,1,1,4]               => 1
[1,2,1,2,1,1,1]           => 1
[1,2,1,2,1,2]             => 1
[1,2,1,2,2,1]             => 1
[1,2,1,2,3]               => 1
[1,2,1,3,1,1]             => 1
[1,2,1,3,2]               => 1
[1,2,1,4,1]               => 1
[1,2,1,5]                 => 1
[1,2,2,1,1,1,1]           => 1
[1,2,2,1,1,2]             => 1
[1,2,2,1,2,1]             => 1
[1,2,2,1,3]               => 1
[1,2,2,2,1,1]             => 1
[1,2,2,2,2]               => 1
[1,2,2,3,1]               => 1
[1,2,2,4]                 => 1
[1,2,3,1,1,1]             => 1
[1,2,3,1,2]               => 1
[1,2,3,2,1]               => 1
[1,2,3,3]                 => 1
[1,2,4,1,1]               => 1
[1,2,4,2]                 => 1
[1,2,5,1]                 => 1
[1,2,6]                   => 1
[1,3,1,1,1,1,1]           => 1
[1,3,1,1,1,2]             => 1
[1,3,1,1,2,1]             => 1
[1,3,1,1,3]               => 1
[1,3,1,2,1,1]             => 1
[1,3,1,2,2]               => 1
[1,3,1,3,1]               => 1
[1,3,1,4]                 => 1
[1,3,2,1,1,1]             => 1
[1,3,2,1,2]               => 1
[1,3,2,2,1]               => 1
[1,3,2,3]                 => 1
[1,3,3,1,1]               => 1
[1,3,3,2]                 => 1
[1,3,4,1]                 => 1
[1,3,5]                   => 1
[1,4,1,1,1,1]             => 1
[1,4,1,1,2]               => 1
[1,4,1,2,1]               => 1
[1,4,1,3]                 => 1
[1,4,2,1,1]               => 1
[1,4,2,2]                 => 1
[1,4,3,1]                 => 1
[1,4,4]                   => 1
[1,5,1,1,1]               => 1
[1,5,1,2]                 => 1
[1,5,2,1]                 => 1
[1,5,3]                   => 1
[1,6,1,1]                 => 1
[1,6,2]                   => 1
[1,7,1]                   => 1
[1,8]                     => 1
[2,1,1,1,1,1,1,1]         => 2
[2,1,1,1,1,1,2]           => 2
[2,1,1,1,1,2,1]           => 2
[2,1,1,1,1,3]             => 2
[2,1,1,1,2,1,1]           => 2
[2,1,1,1,2,2]             => 2
[2,1,1,1,3,1]             => 2
[2,1,1,1,4]               => 2
[2,1,1,2,1,1,1]           => 2
[2,1,1,2,1,2]             => 2
[2,1,1,2,2,1]             => 2
[2,1,1,2,3]               => 2
[2,1,1,3,1,1]             => 2
[2,1,1,3,2]               => 2
[2,1,1,4,1]               => 2
[2,1,1,5]                 => 2
[2,1,2,1,1,1,1]           => 2
[2,1,2,1,1,2]             => 2
[2,1,2,1,2,1]             => 2
[2,1,2,1,3]               => 2
[2,1,2,2,1,1]             => 2
[2,1,2,2,2]               => 2
[2,1,2,3,1]               => 2
[2,1,2,4]                 => 2
[2,1,3,1,1,1]             => 2
[2,1,3,1,2]               => 2
[2,1,3,2,1]               => 2
[2,1,3,3]                 => 2
[2,1,4,1,1]               => 2
[2,1,4,2]                 => 2
[2,1,5,1]                 => 2
[2,1,6]                   => 2
[2,2,1,1,1,1,1]           => 2
[2,2,1,1,1,2]             => 2
[2,2,1,1,2,1]             => 2
[2,2,1,1,3]               => 2
[2,2,1,2,1,1]             => 2
[2,2,1,2,2]               => 2
[2,2,1,3,1]               => 2
[2,2,1,4]                 => 2
[2,2,2,1,1,1]             => 2
[2,2,2,1,2]               => 2
[2,2,2,2,1]               => 2
[2,2,2,3]                 => 2
[2,2,3,1,1]               => 2
[2,2,3,2]                 => 2
[2,2,4,1]                 => 2
[2,2,5]                   => 2
[2,3,1,1,1,1]             => 2
[2,3,1,1,2]               => 2
[2,3,1,2,1]               => 2
[2,3,1,3]                 => 2
[2,3,2,1,1]               => 2
[2,3,2,2]                 => 2
[2,3,3,1]                 => 2
[2,3,4]                   => 2
[2,4,1,1,1]               => 2
[2,4,1,2]                 => 2
[2,4,2,1]                 => 2
[2,4,3]                   => 2
[2,5,1,1]                 => 2
[2,5,2]                   => 2
[2,6,1]                   => 2
[2,7]                     => 2
[3,1,1,1,1,1,1]           => 3
[3,1,1,1,1,2]             => 3
[3,1,1,1,2,1]             => 3
[3,1,1,1,3]               => 3
[3,1,1,2,1,1]             => 3
[3,1,1,2,2]               => 3
[3,1,1,3,1]               => 3
[3,1,1,4]                 => 3
[3,1,2,1,1,1]             => 3
[3,1,2,1,2]               => 3
[3,1,2,2,1]               => 3
[3,1,2,3]                 => 3
[3,1,3,1,1]               => 3
[3,1,3,2]                 => 3
[3,1,4,1]                 => 3
[3,1,5]                   => 3
[3,2,1,1,1,1]             => 3
[3,2,1,1,2]               => 3
[3,2,1,2,1]               => 3
[3,2,1,3]                 => 3
[3,2,2,1,1]               => 3
[3,2,2,2]                 => 3
[3,2,3,1]                 => 3
[3,2,4]                   => 3
[3,3,1,1,1]               => 3
[3,3,1,2]                 => 3
[3,3,2,1]                 => 3
[3,3,3]                   => 3
[3,4,1,1]                 => 3
[3,4,2]                   => 3
[3,5,1]                   => 3
[3,6]                     => 3
[4,1,1,1,1,1]             => 4
[4,1,1,1,2]               => 4
[4,1,1,2,1]               => 4
[4,1,1,3]                 => 4
[4,1,2,1,1]               => 4
[4,1,2,2]                 => 4
[4,1,3,1]                 => 4
[4,1,4]                   => 4
[4,2,1,1,1]               => 4
[4,2,1,2]                 => 4
[4,2,2,1]                 => 4
[4,2,3]                   => 4
[4,3,1,1]                 => 4
[4,3,2]                   => 4
[4,4,1]                   => 4
[4,5]                     => 4
[5,1,1,1,1]               => 5
[5,1,1,2]                 => 5
[5,1,2,1]                 => 5
[5,1,3]                   => 5
[5,2,1,1]                 => 5
[5,2,2]                   => 5
[5,3,1]                   => 5
[5,4]                     => 5
[6,1,1,1]                 => 6
[6,1,2]                   => 6
[6,2,1]                   => 6
[6,3]                     => 6
[7,1,1]                   => 7
[7,2]                     => 7
[8,1]                     => 8
[9]                       => 9
[1,1,1,1,1,1,1,1,1,1]     => 1
[1,1,1,1,1,1,1,1,2]       => 1
[1,1,1,1,1,1,1,2,1]       => 1
[1,1,1,1,1,1,1,3]         => 1
[1,1,1,1,1,1,2,1,1]       => 1
[1,1,1,1,1,1,2,2]         => 1
[1,1,1,1,1,1,4]           => 1
[1,1,1,1,1,2,1,1,1]       => 1
[1,1,1,1,1,2,3]           => 1
[1,1,1,1,1,5]             => 1
[1,1,1,1,2,1,1,1,1]       => 1
[1,1,1,1,2,1,1,2]         => 1
[1,1,1,1,2,2,1,1]         => 1
[1,1,1,1,2,2,2]           => 1
[1,1,1,1,2,4]             => 1
[1,1,1,1,3,3]             => 1
[1,1,1,1,5,1]             => 1
[1,1,1,1,6]               => 1
[1,1,1,2,1,1,1,1,1]       => 1
[1,1,1,2,1,1,1,2]         => 1
[1,1,1,2,1,2,2]           => 1
[1,1,1,2,1,3,1]           => 1
[1,1,1,2,2,1,2]           => 1
[1,1,1,2,2,3]             => 1
[1,1,1,2,3,1,1]           => 1
[1,1,1,2,5]               => 1
[1,1,1,3,1,2,1]           => 1
[1,1,1,3,2,1,1]           => 1
[1,1,1,3,4]               => 1
[1,1,1,7]                 => 1
[1,1,2,1,1,1,1,1,1]       => 1
[1,1,2,1,1,1,1,2]         => 1
[1,1,2,1,1,2,1,1]         => 1
[1,1,2,1,1,2,2]           => 1
[1,1,2,1,1,3,1]           => 1
[1,1,2,1,2,3]             => 1
[1,1,2,2,1,1,1,1]         => 1
[1,1,2,2,1,1,2]           => 1
[1,1,2,2,2,2]             => 1
[1,1,2,2,4]               => 1
[1,1,2,3,1,1,1]           => 1
[1,1,2,3,3]               => 1
[1,1,2,6]                 => 1
[1,1,3,1,1,1,2]           => 1
[1,1,3,1,1,2,1]           => 1
[1,1,3,1,1,3]             => 1
[1,1,3,2,1,1,1]           => 1
[1,1,3,2,1,2]             => 1
[1,1,3,3,1,1]             => 1
[1,1,3,5]                 => 1
[1,1,4,4]                 => 1
[1,1,7,1]                 => 1
[1,1,8]                   => 1
[1,2,1,1,1,1,1,1,1]       => 1
[1,2,1,1,1,1,1,2]         => 1
[1,2,1,1,2,1,2]           => 1
[1,2,1,1,3,1,1]           => 1
[1,2,1,1,4,1]             => 1
[1,2,1,2,1,1,2]           => 1
[1,2,1,3,1,1,1]           => 1
[1,2,2,1,1,1,2]           => 1
[1,2,2,1,2,1,1]           => 1
[1,2,2,2,2,1]             => 1
[1,2,2,2,3]               => 1
[1,2,2,3,2]               => 1
[1,2,2,5]                 => 1
[1,2,3,1,1,2]             => 1
[1,2,3,2,2]               => 1
[1,2,3,3,1]               => 1
[1,2,3,4]                 => 1
[1,2,4,3]                 => 1
[1,2,6,1]                 => 1
[1,2,7]                   => 1
[1,3,1,1,1,1,2]           => 1
[1,3,1,1,2,1,1]           => 1
[1,3,1,1,3,1]             => 1
[1,3,1,2,1,1,1]           => 1
[1,3,1,2,1,2]             => 1
[1,3,2,1,1,2]             => 1
[1,3,2,2,2]               => 1
[1,3,2,3,1]               => 1
[1,3,2,4]                 => 1
[1,3,3,1,2]               => 1
[1,3,3,2,1]               => 1
[1,3,3,3]                 => 1
[1,3,4,2]                 => 1
[1,3,5,1]                 => 1
[1,3,6]                   => 1
[1,4,1,1,1,2]             => 1
[1,4,1,1,2,1]             => 1
[1,4,1,2,2]               => 1
[1,4,2,1,2]               => 1
[1,4,2,3]                 => 1
[1,4,3,2]                 => 1
[1,4,4,1]                 => 1
[1,4,5]                   => 1
[1,5,1,1,1,1]             => 1
[1,5,1,1,2]               => 1
[1,5,1,3]                 => 1
[1,5,2,2]                 => 1
[1,5,3,1]                 => 1
[1,5,4]                   => 1
[1,6,1,2]                 => 1
[1,6,2,1]                 => 1
[1,6,3]                   => 1
[1,7,1,1]                 => 1
[1,7,2]                   => 1
[1,8,1]                   => 1
[1,9]                     => 1
[2,1,1,1,1,1,1,1,1]       => 2
[2,1,1,1,1,1,1,2]         => 2
[2,1,1,1,1,2,1,1]         => 2
[2,1,1,1,2,3]             => 2
[2,1,1,2,1,1,1,1]         => 2
[2,1,1,2,1,2,1]           => 2
[2,1,1,2,2,1,1]           => 2
[2,1,1,2,2,2]             => 2
[2,1,2,1,1,2,1]           => 2
[2,1,2,1,1,3]             => 2
[2,1,2,2,1,1,1]           => 2
[2,1,2,2,1,2]             => 2
[2,1,2,3,1,1]             => 2
[2,1,3,4]                 => 2
[2,1,4,3]                 => 2
[2,1,6,1]                 => 2
[2,2,1,1,1,1,1,1]         => 2
[2,2,1,1,2,1,1]           => 2
[2,2,1,1,2,2]             => 2
[2,2,1,2,1,1,1]           => 2
[2,2,2,1,1,1,1]           => 2
[2,2,2,1,1,2]             => 2
[2,2,2,1,2,1]             => 2
[2,2,2,2,1,1]             => 2
[2,2,2,2,2]               => 2
[2,2,2,3,1]               => 2
[2,2,2,4]                 => 2
[2,2,3,2,1]               => 2
[2,2,3,3]                 => 2
[2,2,4,2]                 => 2
[2,2,6]                   => 2
[2,3,1,4]                 => 2
[2,3,2,2,1]               => 2
[2,3,2,3]                 => 2
[2,3,3,2]                 => 2
[2,3,4,1]                 => 2
[2,3,5]                   => 2
[2,4,1,3]                 => 2
[2,4,2,2]                 => 2
[2,4,3,1]                 => 2
[2,4,4]                   => 2
[2,5,3]                   => 2
[2,8]                     => 2
[3,1,1,1,1,1,1,1]         => 3
[3,1,1,1,1,3]             => 3
[3,1,1,2,1,2]             => 3
[3,1,1,3,1,1]             => 3
[3,1,2,4]                 => 3
[3,1,3,1,1,1]             => 3
[3,1,4,2]                 => 3
[3,2,1,1,1,1,1]           => 3
[3,2,1,1,1,2]             => 3
[3,2,1,2,1,1]             => 3
[3,2,1,4]                 => 3
[3,2,2,1,1,1]             => 3
[3,2,2,2,1]               => 3
[3,2,2,3]                 => 3
[3,2,3,2]                 => 3
[3,2,4,1]                 => 3
[3,2,5]                   => 3
[3,3,1,1,1,1]             => 3
[3,3,2,1,1]               => 3
[3,3,2,2]                 => 3
[3,3,3,1]                 => 3
[3,3,4]                   => 3
[3,4,1,2]                 => 3
[3,4,2,1]                 => 3
[3,4,3]                   => 3
[3,5,2]                   => 3
[3,7]                     => 3
[4,1,1,1,1,1,1]           => 4
[4,1,1,4]                 => 4
[4,1,2,3]                 => 4
[4,1,3,2]                 => 4
[4,2,1,1,1,1]             => 4
[4,2,1,3]                 => 4
[4,2,2,1,1]               => 4
[4,2,2,2]                 => 4
[4,2,3,1]                 => 4
[4,2,4]                   => 4
[4,3,1,1,1]               => 4
[4,3,1,2]                 => 4
[4,3,2,1]                 => 4
[4,3,3]                   => 4
[4,4,1,1]                 => 4
[4,4,2]                   => 4
[4,5,1]                   => 4
[4,6]                     => 4
[5,1,1,1,1,1]             => 5
[5,2,1,1,1]               => 5
[5,2,2,1]                 => 5
[5,2,3]                   => 5
[5,3,1,1]                 => 5
[5,3,2]                   => 5
[5,4,1]                   => 5
[5,5]                     => 5
[6,1,1,1,1]               => 6
[6,2,1,1]                 => 6
[6,2,2]                   => 6
[6,3,1]                   => 6
[6,4]                     => 6
[7,1,1,1]                 => 7
[7,2,1]                   => 7
[7,3]                     => 7
[8,1,1]                   => 8
[8,2]                     => 8
[9,1]                     => 9
[10]                      => 10
[1,10]                    => 1
[1,8,1,1]                 => 1
[1,7,2,1]                 => 1
[1,6,3,1]                 => 1
[1,5,4,1]                 => 1
[1,4,5,1]                 => 1
[1,3,6,1]                 => 1
[1,2,7,1]                 => 1
[1,1,8,1]                 => 1
[10,1]                    => 10
[1,8,2]                   => 1
[1,7,1,2]                 => 1
[1,6,1,1,2]               => 1
[1,5,1,1,1,2]             => 1
[1,4,1,1,1,1,2]           => 1
[1,3,1,1,1,1,1,2]         => 1
[1,2,1,1,1,1,1,1,2]       => 1
[1,1,1,1,1,1,1,1,1,2]     => 1
[1,7,3]                   => 1
[1,6,2,2]                 => 1
[1,5,2,1,2]               => 1
[1,4,2,1,1,2]             => 1
[1,3,2,1,1,1,2]           => 1
[1,2,2,1,1,1,1,2]         => 1
[1,1,2,1,1,1,1,1,2]       => 1
[1,2,2,2,2,2]             => 1
[1,2,2,2,1,3]             => 1
[1,2,2,1,3,2]             => 1
[1,2,2,1,2,3]             => 1
[1,2,2,1,1,4]             => 1
[1,2,1,3,2,2]             => 1
[1,2,1,3,1,3]             => 1
[1,2,1,2,3,2]             => 1
[1,2,1,2,2,3]             => 1
[1,2,1,2,1,4]             => 1
[1,2,1,1,4,2]             => 1
[1,2,1,1,3,3]             => 1
[1,2,1,1,2,4]             => 1
[1,2,1,1,1,5]             => 1
[1,1,3,2,2,2]             => 1
[1,1,3,2,1,3]             => 1
[1,1,3,1,3,2]             => 1
[1,1,3,1,2,3]             => 1
[1,1,3,1,1,4]             => 1
[1,1,2,3,2,2]             => 1
[1,1,2,3,1,3]             => 1
[1,1,2,2,3,2]             => 1
[1,1,2,2,2,3]             => 1
[1,1,2,2,1,4]             => 1
[1,1,2,1,4,2]             => 1
[1,1,2,1,3,3]             => 1
[1,1,2,1,2,4]             => 1
[1,1,2,1,1,5]             => 1
[1,1,1,4,2,2]             => 1
[1,1,1,4,1,3]             => 1
[1,1,1,3,3,2]             => 1
[1,1,1,3,2,3]             => 1
[1,1,1,3,1,4]             => 1
[1,1,1,2,4,2]             => 1
[1,1,1,2,3,3]             => 1
[1,1,1,2,2,4]             => 1
[1,1,1,2,1,5]             => 1
[1,1,1,1,5,2]             => 1
[1,1,1,1,4,3]             => 1
[1,1,1,1,3,4]             => 1
[1,1,1,1,2,5]             => 1
[1,1,1,1,1,6]             => 1
[3,3,3,2]                 => 3
[3,4,4]                   => 3
[2,3,3,3]                 => 2
[4,4,3]                   => 4
[1,1,1,1,1,1,1,1,1,1,1]   => 1
[1,1,1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,2,2]     => 1
[1,1,1,1,1,1,2,2,1,1]     => 1
[1,1,1,1,1,1,2,1,1,2]     => 1
[1,1,1,1,1,1,3,3]         => 1
[1,1,1,1,2,2,1,1,1,1]     => 1
[1,1,1,1,2,2,2,2]         => 1
[1,1,1,1,2,1,1,2,1,1]     => 1
[1,1,1,1,2,1,1,1,1,2]     => 1
[1,1,1,1,2,1,2,3]         => 1
[1,1,1,1,3,3,1,1]         => 1
[1,1,1,1,3,2,1,2]         => 1
[1,1,1,1,3,1,1,3]         => 1
[1,1,1,1,4,4]             => 1
[1,1,2,2,1,1,1,1,1,1]     => 1
[1,1,2,2,1,1,2,2]         => 1
[1,1,2,2,2,2,1,1]         => 1
[1,1,2,2,2,1,1,2]         => 1
[1,1,2,2,3,3]             => 1
[1,1,2,1,1,2,1,1,1,1]     => 1
[1,1,2,1,1,2,2,2]         => 1
[1,1,2,1,1,1,1,2,1,1]     => 1
[1,1,2,1,1,1,1,1,1,2]     => 1
[1,1,2,1,1,1,2,3]         => 1
[1,1,2,1,2,3,1,1]         => 1
[1,1,2,1,2,2,1,2]         => 1
[1,1,2,1,2,1,1,3]         => 1
[1,1,2,1,3,4]             => 1
[1,1,3,3,1,1,1,1]         => 1
[1,1,3,3,2,2]             => 1
[1,1,3,2,1,2,1,1]         => 1
[1,1,3,2,1,1,1,2]         => 1
[1,1,3,2,2,3]             => 1
[1,1,3,1,1,3,1,1]         => 1
[1,1,3,1,1,2,1,2]         => 1
[1,1,3,1,1,1,1,3]         => 1
[1,1,3,1,2,4]             => 1
[1,1,4,4,1,1]             => 1
[1,1,4,3,1,2]             => 1
[1,1,4,2,1,3]             => 1
[1,1,4,1,1,4]             => 1
[1,1,5,5]                 => 1
[2,2,1,1,1,1,1,1,1,1]     => 2
[2,2,1,1,1,1,2,2]         => 2
[2,2,1,1,2,2,1,1]         => 2
[2,2,1,1,2,1,1,2]         => 2
[2,2,1,1,3,3]             => 2
[2,2,2,2,1,1,1,1]         => 2
[2,2,2,2,2,2]             => 2
[2,2,2,1,1,2,1,1]         => 2
[2,2,2,1,1,1,1,2]         => 2
[2,2,2,1,2,3]             => 2
[2,2,3,3,1,1]             => 2
[2,2,3,2,1,2]             => 2
[2,2,3,1,1,3]             => 2
[2,2,4,4]                 => 2
[2,1,1,2,1,1,1,1,1,1]     => 2
[2,1,1,2,1,1,2,2]         => 2
[2,1,1,2,2,2,1,1]         => 2
[2,1,1,2,2,1,1,2]         => 2
[2,1,1,2,3,3]             => 2
[2,1,1,1,1,2,1,1,1,1]     => 2
[2,1,1,1,1,2,2,2]         => 2
[2,1,1,1,1,1,1,2,1,1]     => 2
[2,1,1,1,1,1,1,1,1,2]     => 2
[2,1,1,1,1,1,2,3]         => 2
[2,1,1,1,2,3,1,1]         => 2
[2,1,1,1,2,2,1,2]         => 2
[2,1,1,1,2,1,1,3]         => 2
[2,1,1,1,3,4]             => 2
[2,1,2,3,1,1,1,1]         => 2
[2,1,2,3,2,2]             => 2
[2,1,2,2,1,2,1,1]         => 2
[2,1,2,2,1,1,1,2]         => 2
[2,1,2,2,2,3]             => 2
[2,1,2,1,1,3,1,1]         => 2
[2,1,2,1,1,2,1,2]         => 2
[2,1,2,1,1,1,1,3]         => 2
[2,1,2,1,2,4]             => 2
[2,1,3,4,1,1]             => 2
[2,1,3,3,1,2]             => 2
[2,1,3,2,1,3]             => 2
[2,1,3,1,1,4]             => 2
[2,1,4,5]                 => 2
[3,3,1,1,1,1,1,1]         => 3
[3,3,1,1,2,2]             => 3
[3,3,2,2,1,1]             => 3
[3,3,2,1,1,2]             => 3
[3,3,3,3]                 => 3
[3,2,1,2,1,1,1,1]         => 3
[3,2,1,2,2,2]             => 3
[3,2,1,1,1,2,1,1]         => 3
[3,2,1,1,1,1,1,2]         => 3
[3,2,1,1,2,3]             => 3
[3,2,2,3,1,1]             => 3
[3,2,2,2,1,2]             => 3
[3,2,2,1,1,3]             => 3
[3,2,3,4]                 => 3
[3,1,1,3,1,1,1,1]         => 3
[3,1,1,3,2,2]             => 3
[3,1,1,2,1,2,1,1]         => 3
[3,1,1,2,1,1,1,2]         => 3
[3,1,1,2,2,3]             => 3
[3,1,1,1,1,3,1,1]         => 3
[3,1,1,1,1,2,1,2]         => 3
[3,1,1,1,1,1,1,3]         => 3
[3,1,1,1,2,4]             => 3
[3,1,2,4,1,1]             => 3
[3,1,2,3,1,2]             => 3
[3,1,2,2,1,3]             => 3
[3,1,2,1,1,4]             => 3
[3,1,3,5]                 => 3
[4,4,1,1,1,1]             => 4
[4,4,2,2]                 => 4
[4,3,1,2,1,1]             => 4
[4,3,1,1,1,2]             => 4
[4,3,2,3]                 => 4
[4,2,1,3,1,1]             => 4
[4,2,1,2,1,2]             => 4
[4,2,1,1,1,3]             => 4
[4,2,2,4]                 => 4
[4,1,1,4,1,1]             => 4
[4,1,1,3,1,2]             => 4
[4,1,1,2,1,3]             => 4
[4,1,1,1,1,4]             => 4
[4,1,2,5]                 => 4
[5,5,1,1]                 => 5
[5,4,1,2]                 => 5
[5,3,1,3]                 => 5
[5,2,1,4]                 => 5
[5,1,1,5]                 => 5
[6,6]                     => 6
[1,2,2,2,2,2,1]           => 1
[1,2,2,2,3,2]             => 1
[1,2,2,3,3,1]             => 1
[1,2,2,3,2,2]             => 1
[1,2,2,4,3]               => 1
[1,2,3,3,2,1]             => 1
[1,2,3,4,2]               => 1
[1,2,3,2,3,1]             => 1
[1,2,3,2,2,2]             => 1
[1,2,3,3,3]               => 1
[1,2,4,4,1]               => 1
[1,2,4,3,2]               => 1
[1,2,4,2,3]               => 1
[1,2,5,4]                 => 1
[1,3,3,2,2,1]             => 1
[1,3,3,3,2]               => 1
[1,3,4,3,1]               => 1
[1,3,4,2,2]               => 1
[1,3,5,3]                 => 1
[1,3,2,3,2,1]             => 1
[1,3,2,4,2]               => 1
[1,3,2,2,3,1]             => 1
[1,3,2,2,2,2]             => 1
[1,3,2,3,3]               => 1
[1,3,3,4,1]               => 1
[1,3,3,2,3]               => 1
[1,3,4,4]                 => 1
[1,4,4,2,1]               => 1
[1,4,5,2]                 => 1
[1,4,3,3,1]               => 1
[1,4,3,2,2]               => 1
[1,4,4,3]                 => 1
[1,4,2,4,1]               => 1
[1,4,2,3,2]               => 1
[1,4,2,2,3]               => 1
[1,4,3,4]                 => 1
[1,5,5,1]                 => 1
[1,5,4,2]                 => 1
[1,5,3,3]                 => 1
[1,5,2,4]                 => 1
[1,6,5]                   => 1
[2,3,2,2,2,1]             => 2
[2,3,2,3,2]               => 2
[2,3,3,3,1]               => 2
[2,3,3,2,2]               => 2
[2,3,4,3]                 => 2
[2,4,3,2,1]               => 2
[2,4,4,2]                 => 2
[2,4,2,3,1]               => 2
[2,4,2,2,2]               => 2
[2,4,3,3]                 => 2
[2,5,4,1]                 => 2
[2,5,3,2]                 => 2
[2,5,2,3]                 => 2
[2,6,4]                   => 2
[2,2,3,2,2,1]             => 2
[2,2,3,3,2]               => 2
[2,2,4,3,1]               => 2
[2,2,4,2,2]               => 2
[2,2,5,3]                 => 2
[2,2,2,3,2,1]             => 2
[2,2,2,4,2]               => 2
[2,2,2,2,3,1]             => 2
[2,2,2,3,3]               => 2
[2,2,3,4,1]               => 2
[2,2,3,2,3]               => 2
[2,3,4,2,1]               => 2
[2,3,5,2]                 => 2
[2,3,2,4,1]               => 2
[2,3,2,2,3]               => 2
[2,3,3,4]                 => 2
[2,4,5,1]                 => 2
[2,4,2,4]                 => 2
[2,5,5]                   => 2
[3,4,2,2,1]               => 3
[3,4,3,2]                 => 3
[3,5,3,1]                 => 3
[3,5,2,2]                 => 3
[3,6,3]                   => 3
[3,3,3,2,1]               => 3
[3,3,4,2]                 => 3
[3,3,2,3,1]               => 3
[3,3,2,2,2]               => 3
[3,4,4,1]                 => 3
[3,4,2,3]                 => 3
[3,5,4]                   => 3
[3,2,4,2,1]               => 3
[3,2,5,2]                 => 3
[3,2,3,3,1]               => 3
[3,2,3,2,2]               => 3
[3,2,4,3]                 => 3
[3,2,2,4,1]               => 3
[3,2,2,3,2]               => 3
[3,2,2,2,3]               => 3
[3,3,5,1]                 => 3
[3,3,2,4]                 => 3
[3,4,5]                   => 3
[4,5,2,1]                 => 4
[4,6,2]                   => 4
[4,4,3,1]                 => 4
[4,5,3]                   => 4
[4,3,4,1]                 => 4
[4,3,3,2]                 => 4
[4,4,4]                   => 4
[4,2,5,1]                 => 4
[4,2,4,2]                 => 4
[4,2,3,3]                 => 4
[4,3,5]                   => 4
[5,6,1]                   => 5
[5,5,2]                   => 5
[5,4,3]                   => 5
[5,3,4]                   => 5
[5,2,5]                   => 5
[1,11]                    => 1
[1,9,2]                   => 1
[1,8,1,2]                 => 1
[1,7,1,1,2]               => 1
[1,6,1,1,1,2]             => 1
[1,5,1,1,1,1,2]           => 1
[1,4,1,1,1,1,1,2]         => 1
[1,3,1,1,1,1,1,1,2]       => 1
[1,2,1,1,1,1,1,1,1,2]     => 1
[1,1,1,1,1,1,1,1,1,1,2]   => 1
[3,2,2,2,2,1]             => 3
[4,3,2,2,1]               => 4
[4,2,3,2,1]               => 4
[4,2,2,3,1]               => 4
[4,2,2,2,2]               => 4
[5,4,2,1]                 => 5
[5,3,3,1]                 => 5
[5,3,2,2]                 => 5
[5,2,4,1]                 => 5
[5,2,3,2]                 => 5
[5,2,2,3]                 => 5
[6,5,1]                   => 6
[6,4,2]                   => 6
[6,3,3]                   => 6
[6,2,4]                   => 6
[7,5]                     => 7
[1,2,2,2,2,2,2]           => 1
[1,2,2,2,2,1,3]           => 1
[1,2,2,2,1,3,2]           => 1
[1,2,2,2,1,2,3]           => 1
[1,2,2,2,1,1,4]           => 1
[1,2,2,1,3,2,2]           => 1
[1,2,2,1,3,1,3]           => 1
[1,2,2,1,2,3,2]           => 1
[1,2,2,1,2,2,3]           => 1
[1,2,2,1,2,1,4]           => 1
[1,2,2,1,1,4,2]           => 1
[1,2,2,1,1,3,3]           => 1
[1,2,2,1,1,2,4]           => 1
[1,2,2,1,1,1,5]           => 1
[1,2,1,3,2,2,2]           => 1
[1,2,1,3,2,1,3]           => 1
[1,2,1,3,1,3,2]           => 1
[1,2,1,3,1,2,3]           => 1
[1,2,1,3,1,1,4]           => 1
[1,2,1,2,3,2,2]           => 1
[1,2,1,2,3,1,3]           => 1
[1,2,1,2,2,3,2]           => 1
[1,2,1,2,2,2,3]           => 1
[1,2,1,2,2,1,4]           => 1
[1,2,1,2,1,4,2]           => 1
[1,2,1,2,1,3,3]           => 1
[1,2,1,2,1,2,4]           => 1
[1,2,1,2,1,1,5]           => 1
[1,2,1,1,4,2,2]           => 1
[1,2,1,1,4,1,3]           => 1
[1,2,1,1,3,3,2]           => 1
[1,2,1,1,3,2,3]           => 1
[1,2,1,1,3,1,4]           => 1
[1,2,1,1,2,4,2]           => 1
[1,2,1,1,2,3,3]           => 1
[1,2,1,1,2,2,4]           => 1
[1,2,1,1,2,1,5]           => 1
[1,2,1,1,1,5,2]           => 1
[1,2,1,1,1,4,3]           => 1
[1,2,1,1,1,3,4]           => 1
[1,2,1,1,1,2,5]           => 1
[1,2,1,1,1,1,6]           => 1
[1,1,3,2,2,2,2]           => 1
[1,1,3,2,2,1,3]           => 1
[1,1,3,2,1,3,2]           => 1
[1,1,3,2,1,2,3]           => 1
[1,1,3,2,1,1,4]           => 1
[1,1,3,1,3,2,2]           => 1
[1,1,3,1,3,1,3]           => 1
[1,1,3,1,2,3,2]           => 1
[1,1,3,1,2,2,3]           => 1
[1,1,3,1,2,1,4]           => 1
[1,1,3,1,1,4,2]           => 1
[1,1,3,1,1,3,3]           => 1
[1,1,3,1,1,2,4]           => 1
[1,1,3,1,1,1,5]           => 1
[1,1,2,3,2,2,2]           => 1
[1,1,2,3,2,1,3]           => 1
[1,1,2,3,1,3,2]           => 1
[1,1,2,3,1,2,3]           => 1
[1,1,2,3,1,1,4]           => 1
[1,1,2,2,3,2,2]           => 1
[1,1,2,2,3,1,3]           => 1
[1,1,2,2,2,3,2]           => 1
[1,1,2,2,2,2,3]           => 1
[1,1,2,2,2,1,4]           => 1
[1,1,2,2,1,4,2]           => 1
[1,1,2,2,1,3,3]           => 1
[1,1,2,2,1,2,4]           => 1
[1,1,2,2,1,1,5]           => 1
[1,1,2,1,4,2,2]           => 1
[1,1,2,1,4,1,3]           => 1
[1,1,2,1,3,3,2]           => 1
[1,1,2,1,3,2,3]           => 1
[1,1,2,1,3,1,4]           => 1
[1,1,2,1,2,4,2]           => 1
[1,1,2,1,2,3,3]           => 1
[1,1,2,1,2,2,4]           => 1
[1,1,2,1,2,1,5]           => 1
[1,1,2,1,1,5,2]           => 1
[1,1,2,1,1,4,3]           => 1
[1,1,2,1,1,3,4]           => 1
[1,1,2,1,1,2,5]           => 1
[1,1,2,1,1,1,6]           => 1
[1,1,1,4,2,2,2]           => 1
[1,1,1,4,2,1,3]           => 1
[1,1,1,4,1,3,2]           => 1
[1,1,1,4,1,2,3]           => 1
[1,1,1,4,1,1,4]           => 1
[1,1,1,3,3,2,2]           => 1
[1,1,1,3,3,1,3]           => 1
[1,1,1,3,2,3,2]           => 1
[1,1,1,3,2,2,3]           => 1
[1,1,1,3,2,1,4]           => 1
[1,1,1,3,1,4,2]           => 1
[1,1,1,3,1,3,3]           => 1
[1,1,1,3,1,2,4]           => 1
[1,1,1,3,1,1,5]           => 1
[1,1,1,2,4,2,2]           => 1
[1,1,1,2,4,1,3]           => 1
[1,1,1,2,3,3,2]           => 1
[1,1,1,2,3,2,3]           => 1
[1,1,1,2,3,1,4]           => 1
[1,1,1,2,2,4,2]           => 1
[1,1,1,2,2,3,3]           => 1
[1,1,1,2,2,2,4]           => 1
[1,1,1,2,2,1,5]           => 1
[1,1,1,2,1,5,2]           => 1
[1,1,1,2,1,4,3]           => 1
[1,1,1,2,1,3,4]           => 1
[1,1,1,2,1,2,5]           => 1
[1,1,1,2,1,1,6]           => 1
[1,1,1,1,5,2,2]           => 1
[1,1,1,1,5,1,3]           => 1
[1,1,1,1,4,3,2]           => 1
[1,1,1,1,4,2,3]           => 1
[1,1,1,1,4,1,4]           => 1
[1,1,1,1,3,4,2]           => 1
[1,1,1,1,3,3,3]           => 1
[1,1,1,1,3,2,4]           => 1
[1,1,1,1,3,1,5]           => 1
[1,1,1,1,2,5,2]           => 1
[1,1,1,1,2,4,3]           => 1
[1,1,1,1,2,3,4]           => 1
[1,1,1,1,2,2,5]           => 1
[1,1,1,1,2,1,6]           => 1
[1,1,1,1,1,6,2]           => 1
[1,1,1,1,1,5,3]           => 1
[1,1,1,1,1,4,4]           => 1
[1,1,1,1,1,3,5]           => 1
[1,1,1,1,1,2,6]           => 1
[1,1,1,1,1,1,7]           => 1
[5,4,3,2,1]               => 5
[1,2,3,4,5]               => 1
[1,2,3,5,4]               => 1
[1,2,4,3,5]               => 1
[1,2,4,5,3]               => 1
[1,2,5,3,4]               => 1
[1,2,5,4,3]               => 1
[1,3,2,4,5]               => 1
[1,3,2,5,4]               => 1
[1,3,4,2,5]               => 1
[1,3,4,5,2]               => 1
[1,3,5,2,4]               => 1
[1,3,5,4,2]               => 1
[1,4,2,3,5]               => 1
[1,4,2,5,3]               => 1
[1,4,3,2,5]               => 1
[1,4,3,5,2]               => 1
[1,4,5,2,3]               => 1
[1,4,5,3,2]               => 1
[1,5,2,3,4]               => 1
[1,5,2,4,3]               => 1
[1,5,3,2,4]               => 1
[1,5,3,4,2]               => 1
[1,5,4,2,3]               => 1
[1,5,4,3,2]               => 1
[2,1,3,4,5]               => 2
[2,1,3,5,4]               => 2
[2,1,4,3,5]               => 2
[2,1,4,5,3]               => 2
[2,1,5,3,4]               => 2
[2,1,5,4,3]               => 2
[2,3,1,4,5]               => 2
[2,3,1,5,4]               => 2
[2,3,4,1,5]               => 2
[2,3,4,5,1]               => 2
[2,3,5,1,4]               => 2
[2,3,5,4,1]               => 2
[2,4,1,3,5]               => 2
[2,4,1,5,3]               => 2
[2,4,3,1,5]               => 2
[2,4,3,5,1]               => 2
[2,4,5,1,3]               => 2
[2,4,5,3,1]               => 2
[2,5,1,3,4]               => 2
[2,5,1,4,3]               => 2
[2,5,3,1,4]               => 2
[2,5,3,4,1]               => 2
[2,5,4,1,3]               => 2
[2,5,4,3,1]               => 2
[3,1,2,4,5]               => 3
[3,1,2,5,4]               => 3
[3,1,4,2,5]               => 3
[3,1,4,5,2]               => 3
[3,1,5,2,4]               => 3
[3,1,5,4,2]               => 3
[3,2,1,4,5]               => 3
[3,2,1,5,4]               => 3
[3,2,4,1,5]               => 3
[3,2,4,5,1]               => 3
[3,2,5,1,4]               => 3
[3,2,5,4,1]               => 3
[3,4,1,2,5]               => 3
[3,4,1,5,2]               => 3
[3,4,2,1,5]               => 3
[3,4,2,5,1]               => 3
[3,4,5,1,2]               => 3
[3,4,5,2,1]               => 3
[3,5,1,2,4]               => 3
[3,5,1,4,2]               => 3
[3,5,2,1,4]               => 3
[3,5,2,4,1]               => 3
[3,5,4,1,2]               => 3
[3,5,4,2,1]               => 3
[4,1,2,3,5]               => 4
[4,1,2,5,3]               => 4
[4,1,3,2,5]               => 4
[4,1,3,5,2]               => 4
[4,1,5,2,3]               => 4
[4,1,5,3,2]               => 4
[4,2,1,3,5]               => 4
[4,2,1,5,3]               => 4
[4,2,3,1,5]               => 4
[4,2,3,5,1]               => 4
[4,2,5,1,3]               => 4
[4,2,5,3,1]               => 4
[4,3,1,2,5]               => 4
[4,3,1,5,2]               => 4
[4,3,2,1,5]               => 4
[4,3,2,5,1]               => 4
[4,3,5,1,2]               => 4
[4,3,5,2,1]               => 4
[4,5,1,2,3]               => 4
[4,5,1,3,2]               => 4
[4,5,2,1,3]               => 4
[4,5,2,3,1]               => 4
[4,5,3,1,2]               => 4
[4,5,3,2,1]               => 4
[5,1,2,3,4]               => 5
[5,1,2,4,3]               => 5
[5,1,3,2,4]               => 5
[5,1,3,4,2]               => 5
[5,1,4,2,3]               => 5
[5,1,4,3,2]               => 5
[5,2,1,3,4]               => 5
[5,2,1,4,3]               => 5
[5,2,3,1,4]               => 5
[5,2,3,4,1]               => 5
[5,2,4,1,3]               => 5
[5,2,4,3,1]               => 5
[5,3,1,2,4]               => 5
[5,3,1,4,2]               => 5
[5,3,2,1,4]               => 5
[5,3,2,4,1]               => 5
[5,3,4,1,2]               => 5
[5,3,4,2,1]               => 5
[5,4,1,2,3]               => 5
[5,4,1,3,2]               => 5
[5,4,2,1,3]               => 5
[5,4,2,3,1]               => 5
[5,4,3,1,2]               => 5

-----------------------------------------------------------------------------
Created: Feb 09, 2016 at 16:03 by Christian Stump

-----------------------------------------------------------------------------
Last Updated: Sep 19, 2024 at 17:41 by Martin Rubey