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Statistic identifier: St000738

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Collection: Standard tableaux

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Description: The first entry in the last row of a standard tableau.

For the last entry in the first row, see [[St000734]].

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References: 

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Code:
def statistic(T):
    return T[-1][0]


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

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

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Created: Mar 29, 2017 at 11:03 by Christian Stump

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Last Updated: Dec 12, 2017 at 14:42 by Martin Rubey