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------------------------------------------------------------------------
Map identifier: Mp00042

------------------------------------------------------------------------
Map name: initial tableau

------------------------------------------------------------------------
Domain: Integer partitions

------------------------------------------------------------------------
Codomain: Standard tableaux

------------------------------------------------------------------------
Description: Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.

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

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

def mapping(L):
    mu = list(L)
    return StandardTableau([range(1+sum(mu[:i]),1+sum(mu[:(i+1)])) for i in range(len(mu))])

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

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

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Created: Jan 19, 2020 at 07:29 by FindStatCrew

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Last Updated: Jan 19, 2020 at 07:29 by Martin Rubey