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Statistic identifier: St001696

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Collection: Standard tableaux

-----------------------------------------------------------------------------
Description: The natural major index of a standard Young tableau.

A natural descent of a standard tableau $T$ is an entry $i$ such that $i+1$ appears in a higher row than $i$ in English notation.

The natural major index of a tableau with natural descent set $D$ is then $\sum_{d\in D} d$.

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References: [1]   Hopkins, S. Two majs for standard Young tableaux? [[MathOverflow:385374]]

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Code:
def natural_descents(T):
    n = T.size()
    D = []
    for i in range(1, n):
        for row in T:
            if row.count(i):
                break
            if row.count(i+1):
                D.append(i)
                break
    return D

def statistic(T):
    D = natural_descents(T)
    return sum(d for d in D)


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

[]                                                             => 0
[[1]]                                                          => 0
[[1,2]]                                                        => 0
[[1],[2]]                                                      => 0
[[1,2,3]]                                                      => 0
[[1,3],[2]]                                                    => 2
[[1,2],[3]]                                                    => 0
[[1],[2],[3]]                                                  => 0
[[1,2,3,4]]                                                    => 0
[[1,3,4],[2]]                                                  => 2
[[1,2,4],[3]]                                                  => 3
[[1,2,3],[4]]                                                  => 0
[[1,3],[2,4]]                                                  => 2
[[1,2],[3,4]]                                                  => 0
[[1,4],[2],[3]]                                                => 3
[[1,3],[2],[4]]                                                => 2
[[1,2],[3],[4]]                                                => 0
[[1],[2],[3],[4]]                                              => 0
[[1,2,3,4,5]]                                                  => 0
[[1,3,4,5],[2]]                                                => 2
[[1,2,4,5],[3]]                                                => 3
[[1,2,3,5],[4]]                                                => 4
[[1,2,3,4],[5]]                                                => 0
[[1,3,5],[2,4]]                                                => 6
[[1,2,5],[3,4]]                                                => 4
[[1,3,4],[2,5]]                                                => 2
[[1,2,4],[3,5]]                                                => 3
[[1,2,3],[4,5]]                                                => 0
[[1,4,5],[2],[3]]                                              => 3
[[1,3,5],[2],[4]]                                              => 6
[[1,2,5],[3],[4]]                                              => 4
[[1,3,4],[2],[5]]                                              => 2
[[1,2,4],[3],[5]]                                              => 3
[[1,2,3],[4],[5]]                                              => 0
[[1,4],[2,5],[3]]                                              => 3
[[1,3],[2,5],[4]]                                              => 6
[[1,2],[3,5],[4]]                                              => 4
[[1,3],[2,4],[5]]                                              => 2
[[1,2],[3,4],[5]]                                              => 0
[[1,5],[2],[3],[4]]                                            => 4
[[1,4],[2],[3],[5]]                                            => 3
[[1,3],[2],[4],[5]]                                            => 2
[[1,2],[3],[4],[5]]                                            => 0
[[1],[2],[3],[4],[5]]                                          => 0
[[1,2,3,4,5,6]]                                                => 0
[[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]]                                              => 0
[[1,3,5,6],[2,4]]                                              => 6
[[1,2,5,6],[3,4]]                                              => 4
[[1,3,4,6],[2,5]]                                              => 7
[[1,2,4,6],[3,5]]                                              => 8
[[1,2,3,6],[4,5]]                                              => 5
[[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]]                                              => 0
[[1,4,5,6],[2],[3]]                                            => 3
[[1,3,5,6],[2],[4]]                                            => 6
[[1,2,5,6],[3],[4]]                                            => 4
[[1,3,4,6],[2],[5]]                                            => 7
[[1,2,4,6],[3],[5]]                                            => 8
[[1,2,3,6],[4],[5]]                                            => 5
[[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]]                                            => 0
[[1,3,5],[2,4,6]]                                              => 6
[[1,2,5],[3,4,6]]                                              => 4
[[1,3,4],[2,5,6]]                                              => 2
[[1,2,4],[3,5,6]]                                              => 3
[[1,2,3],[4,5,6]]                                              => 0
[[1,4,6],[2,5],[3]]                                            => 8
[[1,3,6],[2,5],[4]]                                            => 11
[[1,2,6],[3,5],[4]]                                            => 9
[[1,3,6],[2,4],[5]]                                            => 7
[[1,2,6],[3,4],[5]]                                            => 5
[[1,4,5],[2,6],[3]]                                            => 3
[[1,3,5],[2,6],[4]]                                            => 6
[[1,2,5],[3,6],[4]]                                            => 4
[[1,3,4],[2,6],[5]]                                            => 7
[[1,2,4],[3,6],[5]]                                            => 8
[[1,2,3],[4,6],[5]]                                            => 5
[[1,3,5],[2,4],[6]]                                            => 6
[[1,2,5],[3,4],[6]]                                            => 4
[[1,3,4],[2,5],[6]]                                            => 2
[[1,2,4],[3,5],[6]]                                            => 3
[[1,2,3],[4,5],[6]]                                            => 0
[[1,5,6],[2],[3],[4]]                                          => 4
[[1,4,6],[2],[3],[5]]                                          => 8
[[1,3,6],[2],[4],[5]]                                          => 7
[[1,2,6],[3],[4],[5]]                                          => 5
[[1,4,5],[2],[3],[6]]                                          => 3
[[1,3,5],[2],[4],[6]]                                          => 6
[[1,2,5],[3],[4],[6]]                                          => 4
[[1,3,4],[2],[5],[6]]                                          => 2
[[1,2,4],[3],[5],[6]]                                          => 3
[[1,2,3],[4],[5],[6]]                                          => 0
[[1,4],[2,5],[3,6]]                                            => 3
[[1,3],[2,5],[4,6]]                                            => 6
[[1,2],[3,5],[4,6]]                                            => 4
[[1,3],[2,4],[5,6]]                                            => 2
[[1,2],[3,4],[5,6]]                                            => 0
[[1,5],[2,6],[3],[4]]                                          => 4
[[1,4],[2,6],[3],[5]]                                          => 8
[[1,3],[2,6],[4],[5]]                                          => 7
[[1,2],[3,6],[4],[5]]                                          => 5
[[1,4],[2,5],[3],[6]]                                          => 3
[[1,3],[2,5],[4],[6]]                                          => 6
[[1,2],[3,5],[4],[6]]                                          => 4
[[1,3],[2,4],[5],[6]]                                          => 2
[[1,2],[3,4],[5],[6]]                                          => 0
[[1,6],[2],[3],[4],[5]]                                        => 5
[[1,5],[2],[3],[4],[6]]                                        => 4
[[1,4],[2],[3],[5],[6]]                                        => 3
[[1,3],[2],[4],[5],[6]]                                        => 2
[[1,2],[3],[4],[5],[6]]                                        => 0
[[1],[2],[3],[4],[5],[6]]                                      => 0
[[1,2,3,4,5,6,7]]                                              => 0
[[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]]                                            => 0
[[1,3,5,6,7],[2,4]]                                            => 6
[[1,2,5,6,7],[3,4]]                                            => 4
[[1,3,4,6,7],[2,5]]                                            => 7
[[1,2,4,6,7],[3,5]]                                            => 8
[[1,2,3,6,7],[4,5]]                                            => 5
[[1,3,4,5,7],[2,6]]                                            => 8
[[1,2,4,5,7],[3,6]]                                            => 9
[[1,2,3,5,7],[4,6]]                                            => 10
[[1,2,3,4,7],[5,6]]                                            => 6
[[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]]                                            => 0
[[1,4,5,6,7],[2],[3]]                                          => 3
[[1,3,5,6,7],[2],[4]]                                          => 6
[[1,2,5,6,7],[3],[4]]                                          => 4
[[1,3,4,6,7],[2],[5]]                                          => 7
[[1,2,4,6,7],[3],[5]]                                          => 8
[[1,2,3,6,7],[4],[5]]                                          => 5
[[1,3,4,5,7],[2],[6]]                                          => 8
[[1,2,4,5,7],[3],[6]]                                          => 9
[[1,2,3,5,7],[4],[6]]                                          => 10
[[1,2,3,4,7],[5],[6]]                                          => 6
[[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]]                                          => 0
[[1,3,5,7],[2,4,6]]                                            => 12
[[1,2,5,7],[3,4,6]]                                            => 10
[[1,3,4,7],[2,5,6]]                                            => 8
[[1,2,4,7],[3,5,6]]                                            => 9
[[1,2,3,7],[4,5,6]]                                            => 6
[[1,3,5,6],[2,4,7]]                                            => 6
[[1,2,5,6],[3,4,7]]                                            => 4
[[1,3,4,6],[2,5,7]]                                            => 7
[[1,2,4,6],[3,5,7]]                                            => 8
[[1,2,3,6],[4,5,7]]                                            => 5
[[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]]                                            => 0
[[1,4,6,7],[2,5],[3]]                                          => 8
[[1,3,6,7],[2,5],[4]]                                          => 11
[[1,2,6,7],[3,5],[4]]                                          => 9
[[1,3,6,7],[2,4],[5]]                                          => 7
[[1,2,6,7],[3,4],[5]]                                          => 5
[[1,4,5,7],[2,6],[3]]                                          => 9
[[1,3,5,7],[2,6],[4]]                                          => 12
[[1,2,5,7],[3,6],[4]]                                          => 10
[[1,3,4,7],[2,6],[5]]                                          => 13
[[1,2,4,7],[3,6],[5]]                                          => 14
[[1,2,3,7],[4,6],[5]]                                          => 11
[[1,3,5,7],[2,4],[6]]                                          => 12
[[1,2,5,7],[3,4],[6]]                                          => 10
[[1,3,4,7],[2,5],[6]]                                          => 8
[[1,2,4,7],[3,5],[6]]                                          => 9
[[1,2,3,7],[4,5],[6]]                                          => 6
[[1,4,5,6],[2,7],[3]]                                          => 3
[[1,3,5,6],[2,7],[4]]                                          => 6
[[1,2,5,6],[3,7],[4]]                                          => 4
[[1,3,4,6],[2,7],[5]]                                          => 7
[[1,2,4,6],[3,7],[5]]                                          => 8
[[1,2,3,6],[4,7],[5]]                                          => 5
[[1,3,4,5],[2,7],[6]]                                          => 8
[[1,2,4,5],[3,7],[6]]                                          => 9
[[1,2,3,5],[4,7],[6]]                                          => 10
[[1,2,3,4],[5,7],[6]]                                          => 6
[[1,3,5,6],[2,4],[7]]                                          => 6
[[1,2,5,6],[3,4],[7]]                                          => 4
[[1,3,4,6],[2,5],[7]]                                          => 7
[[1,2,4,6],[3,5],[7]]                                          => 8
[[1,2,3,6],[4,5],[7]]                                          => 5
[[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]]                                          => 0
[[1,5,6,7],[2],[3],[4]]                                        => 4
[[1,4,6,7],[2],[3],[5]]                                        => 8
[[1,3,6,7],[2],[4],[5]]                                        => 7
[[1,2,6,7],[3],[4],[5]]                                        => 5
[[1,4,5,7],[2],[3],[6]]                                        => 9
[[1,3,5,7],[2],[4],[6]]                                        => 12
[[1,2,5,7],[3],[4],[6]]                                        => 10
[[1,3,4,7],[2],[5],[6]]                                        => 8
[[1,2,4,7],[3],[5],[6]]                                        => 9
[[1,2,3,7],[4],[5],[6]]                                        => 6
[[1,4,5,6],[2],[3],[7]]                                        => 3
[[1,3,5,6],[2],[4],[7]]                                        => 6
[[1,2,5,6],[3],[4],[7]]                                        => 4
[[1,3,4,6],[2],[5],[7]]                                        => 7
[[1,2,4,6],[3],[5],[7]]                                        => 8
[[1,2,3,6],[4],[5],[7]]                                        => 5
[[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]]                                        => 0
[[1,4,6],[2,5,7],[3]]                                          => 8
[[1,3,6],[2,5,7],[4]]                                          => 11
[[1,2,6],[3,5,7],[4]]                                          => 9
[[1,3,6],[2,4,7],[5]]                                          => 7
[[1,2,6],[3,4,7],[5]]                                          => 5
[[1,4,5],[2,6,7],[3]]                                          => 3
[[1,3,5],[2,6,7],[4]]                                          => 6
[[1,2,5],[3,6,7],[4]]                                          => 4
[[1,3,4],[2,6,7],[5]]                                          => 7
[[1,2,4],[3,6,7],[5]]                                          => 8
[[1,2,3],[4,6,7],[5]]                                          => 5
[[1,3,5],[2,4,7],[6]]                                          => 12
[[1,2,5],[3,4,7],[6]]                                          => 10
[[1,3,4],[2,5,7],[6]]                                          => 8
[[1,2,4],[3,5,7],[6]]                                          => 9
[[1,2,3],[4,5,7],[6]]                                          => 6
[[1,3,5],[2,4,6],[7]]                                          => 6
[[1,2,5],[3,4,6],[7]]                                          => 4
[[1,3,4],[2,5,6],[7]]                                          => 2
[[1,2,4],[3,5,6],[7]]                                          => 3
[[1,2,3],[4,5,6],[7]]                                          => 0
[[1,4,7],[2,5],[3,6]]                                          => 9
[[1,3,7],[2,5],[4,6]]                                          => 12
[[1,2,7],[3,5],[4,6]]                                          => 10
[[1,3,7],[2,4],[5,6]]                                          => 8
[[1,2,7],[3,4],[5,6]]                                          => 6
[[1,4,6],[2,5],[3,7]]                                          => 8
[[1,3,6],[2,5],[4,7]]                                          => 11
[[1,2,6],[3,5],[4,7]]                                          => 9
[[1,3,6],[2,4],[5,7]]                                          => 7
[[1,2,6],[3,4],[5,7]]                                          => 5
[[1,4,5],[2,6],[3,7]]                                          => 3
[[1,3,5],[2,6],[4,7]]                                          => 6
[[1,2,5],[3,6],[4,7]]                                          => 4
[[1,3,4],[2,6],[5,7]]                                          => 7
[[1,2,4],[3,6],[5,7]]                                          => 8
[[1,2,3],[4,6],[5,7]]                                          => 5
[[1,3,5],[2,4],[6,7]]                                          => 6
[[1,2,5],[3,4],[6,7]]                                          => 4
[[1,3,4],[2,5],[6,7]]                                          => 2
[[1,2,4],[3,5],[6,7]]                                          => 3
[[1,2,3],[4,5],[6,7]]                                          => 0
[[1,5,7],[2,6],[3],[4]]                                        => 10
[[1,4,7],[2,6],[3],[5]]                                        => 14
[[1,3,7],[2,6],[4],[5]]                                        => 13
[[1,2,7],[3,6],[4],[5]]                                        => 11
[[1,4,7],[2,5],[3],[6]]                                        => 9
[[1,3,7],[2,5],[4],[6]]                                        => 12
[[1,2,7],[3,5],[4],[6]]                                        => 10
[[1,3,7],[2,4],[5],[6]]                                        => 8
[[1,2,7],[3,4],[5],[6]]                                        => 6
[[1,5,6],[2,7],[3],[4]]                                        => 4
[[1,4,6],[2,7],[3],[5]]                                        => 8
[[1,3,6],[2,7],[4],[5]]                                        => 7
[[1,2,6],[3,7],[4],[5]]                                        => 5
[[1,4,5],[2,7],[3],[6]]                                        => 9
[[1,3,5],[2,7],[4],[6]]                                        => 12
[[1,2,5],[3,7],[4],[6]]                                        => 10
[[1,3,4],[2,7],[5],[6]]                                        => 8
[[1,2,4],[3,7],[5],[6]]                                        => 9
[[1,2,3],[4,7],[5],[6]]                                        => 6
[[1,4,6],[2,5],[3],[7]]                                        => 8
[[1,3,6],[2,5],[4],[7]]                                        => 11
[[1,2,6],[3,5],[4],[7]]                                        => 9
[[1,3,6],[2,4],[5],[7]]                                        => 7
[[1,2,6],[3,4],[5],[7]]                                        => 5
[[1,4,5],[2,6],[3],[7]]                                        => 3
[[1,3,5],[2,6],[4],[7]]                                        => 6
[[1,2,5],[3,6],[4],[7]]                                        => 4
[[1,3,4],[2,6],[5],[7]]                                        => 7
[[1,2,4],[3,6],[5],[7]]                                        => 8
[[1,2,3],[4,6],[5],[7]]                                        => 5
[[1,3,5],[2,4],[6],[7]]                                        => 6
[[1,2,5],[3,4],[6],[7]]                                        => 4
[[1,3,4],[2,5],[6],[7]]                                        => 2
[[1,2,4],[3,5],[6],[7]]                                        => 3
[[1,2,3],[4,5],[6],[7]]                                        => 0
[[1,6,7],[2],[3],[4],[5]]                                      => 5
[[1,5,7],[2],[3],[4],[6]]                                      => 10
[[1,4,7],[2],[3],[5],[6]]                                      => 9
[[1,3,7],[2],[4],[5],[6]]                                      => 8
[[1,2,7],[3],[4],[5],[6]]                                      => 6
[[1,5,6],[2],[3],[4],[7]]                                      => 4
[[1,4,6],[2],[3],[5],[7]]                                      => 8
[[1,3,6],[2],[4],[5],[7]]                                      => 7
[[1,2,6],[3],[4],[5],[7]]                                      => 5
[[1,4,5],[2],[3],[6],[7]]                                      => 3
[[1,3,5],[2],[4],[6],[7]]                                      => 6
[[1,2,5],[3],[4],[6],[7]]                                      => 4
[[1,3,4],[2],[5],[6],[7]]                                      => 2
[[1,2,4],[3],[5],[6],[7]]                                      => 3
[[1,2,3],[4],[5],[6],[7]]                                      => 0
[[1,5],[2,6],[3,7],[4]]                                        => 4
[[1,4],[2,6],[3,7],[5]]                                        => 8
[[1,3],[2,6],[4,7],[5]]                                        => 7
[[1,2],[3,6],[4,7],[5]]                                        => 5
[[1,4],[2,5],[3,7],[6]]                                        => 9
[[1,3],[2,5],[4,7],[6]]                                        => 12
[[1,2],[3,5],[4,7],[6]]                                        => 10
[[1,3],[2,4],[5,7],[6]]                                        => 8
[[1,2],[3,4],[5,7],[6]]                                        => 6
[[1,4],[2,5],[3,6],[7]]                                        => 3
[[1,3],[2,5],[4,6],[7]]                                        => 6
[[1,2],[3,5],[4,6],[7]]                                        => 4
[[1,3],[2,4],[5,6],[7]]                                        => 2
[[1,2],[3,4],[5,6],[7]]                                        => 0
[[1,6],[2,7],[3],[4],[5]]                                      => 5
[[1,5],[2,7],[3],[4],[6]]                                      => 10
[[1,4],[2,7],[3],[5],[6]]                                      => 9
[[1,3],[2,7],[4],[5],[6]]                                      => 8
[[1,2],[3,7],[4],[5],[6]]                                      => 6
[[1,5],[2,6],[3],[4],[7]]                                      => 4
[[1,4],[2,6],[3],[5],[7]]                                      => 8
[[1,3],[2,6],[4],[5],[7]]                                      => 7
[[1,2],[3,6],[4],[5],[7]]                                      => 5
[[1,4],[2,5],[3],[6],[7]]                                      => 3
[[1,3],[2,5],[4],[6],[7]]                                      => 6
[[1,2],[3,5],[4],[6],[7]]                                      => 4
[[1,3],[2,4],[5],[6],[7]]                                      => 2
[[1,2],[3,4],[5],[6],[7]]                                      => 0
[[1,7],[2],[3],[4],[5],[6]]                                    => 6
[[1,6],[2],[3],[4],[5],[7]]                                    => 5
[[1,5],[2],[3],[4],[6],[7]]                                    => 4
[[1,4],[2],[3],[5],[6],[7]]                                    => 3
[[1,3],[2],[4],[5],[6],[7]]                                    => 2
[[1,2],[3],[4],[5],[6],[7]]                                    => 0
[[1],[2],[3],[4],[5],[6],[7]]                                  => 0
[[1,2,3,4,5,6,7,8]]                                            => 0
[[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]]                                          => 0
[[1,3,5,6,7,8],[2,4]]                                          => 6
[[1,2,5,6,7,8],[3,4]]                                          => 4
[[1,3,4,6,7,8],[2,5]]                                          => 7
[[1,2,4,6,7,8],[3,5]]                                          => 8
[[1,2,3,6,7,8],[4,5]]                                          => 5
[[1,3,4,5,7,8],[2,6]]                                          => 8
[[1,2,4,5,7,8],[3,6]]                                          => 9
[[1,2,3,5,7,8],[4,6]]                                          => 10
[[1,2,3,4,7,8],[5,6]]                                          => 6
[[1,3,4,5,6,8],[2,7]]                                          => 9
[[1,2,4,5,6,8],[3,7]]                                          => 10
[[1,2,3,5,6,8],[4,7]]                                          => 11
[[1,2,3,4,6,8],[5,7]]                                          => 12
[[1,2,3,4,5,8],[6,7]]                                          => 7
[[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]]                                          => 0
[[1,4,5,6,7,8],[2],[3]]                                        => 3
[[1,3,5,6,7,8],[2],[4]]                                        => 6
[[1,2,5,6,7,8],[3],[4]]                                        => 4
[[1,3,4,6,7,8],[2],[5]]                                        => 7
[[1,2,4,6,7,8],[3],[5]]                                        => 8
[[1,2,3,6,7,8],[4],[5]]                                        => 5
[[1,3,4,5,7,8],[2],[6]]                                        => 8
[[1,2,4,5,7,8],[3],[6]]                                        => 9
[[1,2,3,5,7,8],[4],[6]]                                        => 10
[[1,2,3,4,7,8],[5],[6]]                                        => 6
[[1,3,4,5,6,8],[2],[7]]                                        => 9
[[1,2,4,5,6,8],[3],[7]]                                        => 10
[[1,2,3,5,6,8],[4],[7]]                                        => 11
[[1,2,3,4,6,8],[5],[7]]                                        => 12
[[1,2,3,4,5,8],[6],[7]]                                        => 7
[[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]]                                        => 0
[[1,3,5,7,8],[2,4,6]]                                          => 12
[[1,2,5,7,8],[3,4,6]]                                          => 10
[[1,3,4,7,8],[2,5,6]]                                          => 8
[[1,2,4,7,8],[3,5,6]]                                          => 9
[[1,2,3,7,8],[4,5,6]]                                          => 6
[[1,3,5,6,8],[2,4,7]]                                          => 13
[[1,2,5,6,8],[3,4,7]]                                          => 11
[[1,3,4,6,8],[2,5,7]]                                          => 14
[[1,2,4,6,8],[3,5,7]]                                          => 15
[[1,2,3,6,8],[4,5,7]]                                          => 12
[[1,3,4,5,8],[2,6,7]]                                          => 9
[[1,2,4,5,8],[3,6,7]]                                          => 10
[[1,2,3,5,8],[4,6,7]]                                          => 11
[[1,2,3,4,8],[5,6,7]]                                          => 7
[[1,3,5,6,7],[2,4,8]]                                          => 6
[[1,2,5,6,7],[3,4,8]]                                          => 4
[[1,3,4,6,7],[2,5,8]]                                          => 7
[[1,2,4,6,7],[3,5,8]]                                          => 8
[[1,2,3,6,7],[4,5,8]]                                          => 5
[[1,3,4,5,7],[2,6,8]]                                          => 8
[[1,2,4,5,7],[3,6,8]]                                          => 9
[[1,2,3,5,7],[4,6,8]]                                          => 10
[[1,2,3,4,7],[5,6,8]]                                          => 6
[[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]]                                          => 0
[[1,4,6,7,8],[2,5],[3]]                                        => 8
[[1,3,6,7,8],[2,5],[4]]                                        => 11
[[1,2,6,7,8],[3,5],[4]]                                        => 9
[[1,3,6,7,8],[2,4],[5]]                                        => 7
[[1,2,6,7,8],[3,4],[5]]                                        => 5
[[1,4,5,7,8],[2,6],[3]]                                        => 9
[[1,3,5,7,8],[2,6],[4]]                                        => 12
[[1,2,5,7,8],[3,6],[4]]                                        => 10
[[1,3,4,7,8],[2,6],[5]]                                        => 13
[[1,2,4,7,8],[3,6],[5]]                                        => 14
[[1,2,3,7,8],[4,6],[5]]                                        => 11
[[1,3,5,7,8],[2,4],[6]]                                        => 12
[[1,2,5,7,8],[3,4],[6]]                                        => 10
[[1,3,4,7,8],[2,5],[6]]                                        => 8
[[1,2,4,7,8],[3,5],[6]]                                        => 9
[[1,2,3,7,8],[4,5],[6]]                                        => 6
[[1,4,5,6,8],[2,7],[3]]                                        => 10
[[1,3,5,6,8],[2,7],[4]]                                        => 13
[[1,2,5,6,8],[3,7],[4]]                                        => 11
[[1,3,4,6,8],[2,7],[5]]                                        => 14
[[1,2,4,6,8],[3,7],[5]]                                        => 15
[[1,2,3,6,8],[4,7],[5]]                                        => 12
[[1,3,4,5,8],[2,7],[6]]                                        => 15
[[1,2,4,5,8],[3,7],[6]]                                        => 16
[[1,2,3,5,8],[4,7],[6]]                                        => 17
[[1,2,3,4,8],[5,7],[6]]                                        => 13
[[1,3,5,6,8],[2,4],[7]]                                        => 13
[[1,2,5,6,8],[3,4],[7]]                                        => 11
[[1,3,4,6,8],[2,5],[7]]                                        => 14
[[1,2,4,6,8],[3,5],[7]]                                        => 15
[[1,2,3,6,8],[4,5],[7]]                                        => 12
[[1,3,4,5,8],[2,6],[7]]                                        => 9
[[1,2,4,5,8],[3,6],[7]]                                        => 10
[[1,2,3,5,8],[4,6],[7]]                                        => 11
[[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]]                                        => 6
[[1,2,5,6,7],[3,8],[4]]                                        => 4
[[1,3,4,6,7],[2,8],[5]]                                        => 7
[[1,2,4,6,7],[3,8],[5]]                                        => 8
[[1,2,3,6,7],[4,8],[5]]                                        => 5
[[1,3,4,5,7],[2,8],[6]]                                        => 8
[[1,2,4,5,7],[3,8],[6]]                                        => 9
[[1,2,3,5,7],[4,8],[6]]                                        => 10
[[1,2,3,4,7],[5,8],[6]]                                        => 6
[[1,3,4,5,6],[2,8],[7]]                                        => 9
[[1,2,4,5,6],[3,8],[7]]                                        => 10
[[1,2,3,5,6],[4,8],[7]]                                        => 11
[[1,2,3,4,6],[5,8],[7]]                                        => 12
[[1,2,3,4,5],[6,8],[7]]                                        => 7
[[1,3,5,6,7],[2,4],[8]]                                        => 6
[[1,2,5,6,7],[3,4],[8]]                                        => 4
[[1,3,4,6,7],[2,5],[8]]                                        => 7
[[1,2,4,6,7],[3,5],[8]]                                        => 8
[[1,2,3,6,7],[4,5],[8]]                                        => 5
[[1,3,4,5,7],[2,6],[8]]                                        => 8
[[1,2,4,5,7],[3,6],[8]]                                        => 9
[[1,2,3,5,7],[4,6],[8]]                                        => 10
[[1,2,3,4,7],[5,6],[8]]                                        => 6
[[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]]                                        => 0
[[1,5,6,7,8],[2],[3],[4]]                                      => 4
[[1,4,6,7,8],[2],[3],[5]]                                      => 8
[[1,3,6,7,8],[2],[4],[5]]                                      => 7
[[1,2,6,7,8],[3],[4],[5]]                                      => 5
[[1,4,5,7,8],[2],[3],[6]]                                      => 9
[[1,3,5,7,8],[2],[4],[6]]                                      => 12
[[1,2,5,7,8],[3],[4],[6]]                                      => 10
[[1,3,4,7,8],[2],[5],[6]]                                      => 8
[[1,2,4,7,8],[3],[5],[6]]                                      => 9
[[1,2,3,7,8],[4],[5],[6]]                                      => 6
[[1,4,5,6,8],[2],[3],[7]]                                      => 10
[[1,3,5,6,8],[2],[4],[7]]                                      => 13
[[1,2,5,6,8],[3],[4],[7]]                                      => 11
[[1,3,4,6,8],[2],[5],[7]]                                      => 14
[[1,2,4,6,8],[3],[5],[7]]                                      => 15
[[1,2,3,6,8],[4],[5],[7]]                                      => 12
[[1,3,4,5,8],[2],[6],[7]]                                      => 9
[[1,2,4,5,8],[3],[6],[7]]                                      => 10
[[1,2,3,5,8],[4],[6],[7]]                                      => 11
[[1,2,3,4,8],[5],[6],[7]]                                      => 7
[[1,4,5,6,7],[2],[3],[8]]                                      => 3
[[1,3,5,6,7],[2],[4],[8]]                                      => 6
[[1,2,5,6,7],[3],[4],[8]]                                      => 4
[[1,3,4,6,7],[2],[5],[8]]                                      => 7
[[1,2,4,6,7],[3],[5],[8]]                                      => 8
[[1,2,3,6,7],[4],[5],[8]]                                      => 5
[[1,3,4,5,7],[2],[6],[8]]                                      => 8
[[1,2,4,5,7],[3],[6],[8]]                                      => 9
[[1,2,3,5,7],[4],[6],[8]]                                      => 10
[[1,2,3,4,7],[5],[6],[8]]                                      => 6
[[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]]                                      => 0
[[1,3,5,7],[2,4,6,8]]                                          => 12
[[1,2,5,7],[3,4,6,8]]                                          => 10
[[1,3,4,7],[2,5,6,8]]                                          => 8
[[1,2,4,7],[3,5,6,8]]                                          => 9
[[1,2,3,7],[4,5,6,8]]                                          => 6
[[1,3,5,6],[2,4,7,8]]                                          => 6
[[1,2,5,6],[3,4,7,8]]                                          => 4
[[1,3,4,6],[2,5,7,8]]                                          => 7
[[1,2,4,6],[3,5,7,8]]                                          => 8
[[1,2,3,6],[4,5,7,8]]                                          => 5
[[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]]                                          => 0
[[1,4,6,8],[2,5,7],[3]]                                        => 15
[[1,3,6,8],[2,5,7],[4]]                                        => 18
[[1,2,6,8],[3,5,7],[4]]                                        => 16
[[1,3,6,8],[2,4,7],[5]]                                        => 14
[[1,2,6,8],[3,4,7],[5]]                                        => 12
[[1,4,5,8],[2,6,7],[3]]                                        => 10
[[1,3,5,8],[2,6,7],[4]]                                        => 13
[[1,2,5,8],[3,6,7],[4]]                                        => 11
[[1,3,4,8],[2,6,7],[5]]                                        => 14
[[1,2,4,8],[3,6,7],[5]]                                        => 15
[[1,2,3,8],[4,6,7],[5]]                                        => 12
[[1,3,5,8],[2,4,7],[6]]                                        => 19
[[1,2,5,8],[3,4,7],[6]]                                        => 17
[[1,3,4,8],[2,5,7],[6]]                                        => 15
[[1,2,4,8],[3,5,7],[6]]                                        => 16
[[1,2,3,8],[4,5,7],[6]]                                        => 13
[[1,3,5,8],[2,4,6],[7]]                                        => 13
[[1,2,5,8],[3,4,6],[7]]                                        => 11
[[1,3,4,8],[2,5,6],[7]]                                        => 9
[[1,2,4,8],[3,5,6],[7]]                                        => 10
[[1,2,3,8],[4,5,6],[7]]                                        => 7
[[1,4,6,7],[2,5,8],[3]]                                        => 8
[[1,3,6,7],[2,5,8],[4]]                                        => 11
[[1,2,6,7],[3,5,8],[4]]                                        => 9
[[1,3,6,7],[2,4,8],[5]]                                        => 7
[[1,2,6,7],[3,4,8],[5]]                                        => 5
[[1,4,5,7],[2,6,8],[3]]                                        => 9
[[1,3,5,7],[2,6,8],[4]]                                        => 12
[[1,2,5,7],[3,6,8],[4]]                                        => 10
[[1,3,4,7],[2,6,8],[5]]                                        => 13
[[1,2,4,7],[3,6,8],[5]]                                        => 14
[[1,2,3,7],[4,6,8],[5]]                                        => 11
[[1,3,5,7],[2,4,8],[6]]                                        => 12
[[1,2,5,7],[3,4,8],[6]]                                        => 10
[[1,3,4,7],[2,5,8],[6]]                                        => 8
[[1,2,4,7],[3,5,8],[6]]                                        => 9
[[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]]                                        => 6
[[1,2,5,6],[3,7,8],[4]]                                        => 4
[[1,3,4,6],[2,7,8],[5]]                                        => 7
[[1,2,4,6],[3,7,8],[5]]                                        => 8
[[1,2,3,6],[4,7,8],[5]]                                        => 5
[[1,3,4,5],[2,7,8],[6]]                                        => 8
[[1,2,4,5],[3,7,8],[6]]                                        => 9
[[1,2,3,5],[4,7,8],[6]]                                        => 10
[[1,2,3,4],[5,7,8],[6]]                                        => 6
[[1,3,5,6],[2,4,8],[7]]                                        => 13
[[1,2,5,6],[3,4,8],[7]]                                        => 11
[[1,3,4,6],[2,5,8],[7]]                                        => 14
[[1,2,4,6],[3,5,8],[7]]                                        => 15
[[1,2,3,6],[4,5,8],[7]]                                        => 12
[[1,3,4,5],[2,6,8],[7]]                                        => 9
[[1,2,4,5],[3,6,8],[7]]                                        => 10
[[1,2,3,5],[4,6,8],[7]]                                        => 11
[[1,2,3,4],[5,6,8],[7]]                                        => 7
[[1,3,5,7],[2,4,6],[8]]                                        => 12
[[1,2,5,7],[3,4,6],[8]]                                        => 10
[[1,3,4,7],[2,5,6],[8]]                                        => 8
[[1,2,4,7],[3,5,6],[8]]                                        => 9
[[1,2,3,7],[4,5,6],[8]]                                        => 6
[[1,3,5,6],[2,4,7],[8]]                                        => 6
[[1,2,5,6],[3,4,7],[8]]                                        => 4
[[1,3,4,6],[2,5,7],[8]]                                        => 7
[[1,2,4,6],[3,5,7],[8]]                                        => 8
[[1,2,3,6],[4,5,7],[8]]                                        => 5
[[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]]                                        => 0
[[1,4,7,8],[2,5],[3,6]]                                        => 9
[[1,3,7,8],[2,5],[4,6]]                                        => 12
[[1,2,7,8],[3,5],[4,6]]                                        => 10
[[1,3,7,8],[2,4],[5,6]]                                        => 8
[[1,2,7,8],[3,4],[5,6]]                                        => 6
[[1,4,6,8],[2,5],[3,7]]                                        => 15
[[1,3,6,8],[2,5],[4,7]]                                        => 18
[[1,2,6,8],[3,5],[4,7]]                                        => 16
[[1,3,6,8],[2,4],[5,7]]                                        => 14
[[1,2,6,8],[3,4],[5,7]]                                        => 12
[[1,4,5,8],[2,6],[3,7]]                                        => 10
[[1,3,5,8],[2,6],[4,7]]                                        => 13
[[1,2,5,8],[3,6],[4,7]]                                        => 11
[[1,3,4,8],[2,6],[5,7]]                                        => 14
[[1,2,4,8],[3,6],[5,7]]                                        => 15
[[1,2,3,8],[4,6],[5,7]]                                        => 12
[[1,3,5,8],[2,4],[6,7]]                                        => 13
[[1,2,5,8],[3,4],[6,7]]                                        => 11
[[1,3,4,8],[2,5],[6,7]]                                        => 9
[[1,2,4,8],[3,5],[6,7]]                                        => 10
[[1,2,3,8],[4,5],[6,7]]                                        => 7
[[1,4,6,7],[2,5],[3,8]]                                        => 8
[[1,3,6,7],[2,5],[4,8]]                                        => 11
[[1,2,6,7],[3,5],[4,8]]                                        => 9
[[1,3,6,7],[2,4],[5,8]]                                        => 7
[[1,2,6,7],[3,4],[5,8]]                                        => 5
[[1,4,5,7],[2,6],[3,8]]                                        => 9
[[1,3,5,7],[2,6],[4,8]]                                        => 12
[[1,2,5,7],[3,6],[4,8]]                                        => 10
[[1,3,4,7],[2,6],[5,8]]                                        => 13
[[1,2,4,7],[3,6],[5,8]]                                        => 14
[[1,2,3,7],[4,6],[5,8]]                                        => 11
[[1,3,5,7],[2,4],[6,8]]                                        => 12
[[1,2,5,7],[3,4],[6,8]]                                        => 10
[[1,3,4,7],[2,5],[6,8]]                                        => 8
[[1,2,4,7],[3,5],[6,8]]                                        => 9
[[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]]                                        => 6
[[1,2,5,6],[3,7],[4,8]]                                        => 4
[[1,3,4,6],[2,7],[5,8]]                                        => 7
[[1,2,4,6],[3,7],[5,8]]                                        => 8
[[1,2,3,6],[4,7],[5,8]]                                        => 5
[[1,3,4,5],[2,7],[6,8]]                                        => 8
[[1,2,4,5],[3,7],[6,8]]                                        => 9
[[1,2,3,5],[4,7],[6,8]]                                        => 10
[[1,2,3,4],[5,7],[6,8]]                                        => 6
[[1,3,5,6],[2,4],[7,8]]                                        => 6
[[1,2,5,6],[3,4],[7,8]]                                        => 4
[[1,3,4,6],[2,5],[7,8]]                                        => 7
[[1,2,4,6],[3,5],[7,8]]                                        => 8
[[1,2,3,6],[4,5],[7,8]]                                        => 5
[[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]]                                        => 0
[[1,5,7,8],[2,6],[3],[4]]                                      => 10
[[1,4,7,8],[2,6],[3],[5]]                                      => 14
[[1,3,7,8],[2,6],[4],[5]]                                      => 13
[[1,2,7,8],[3,6],[4],[5]]                                      => 11
[[1,4,7,8],[2,5],[3],[6]]                                      => 9
[[1,3,7,8],[2,5],[4],[6]]                                      => 12
[[1,2,7,8],[3,5],[4],[6]]                                      => 10
[[1,3,7,8],[2,4],[5],[6]]                                      => 8
[[1,2,7,8],[3,4],[5],[6]]                                      => 6
[[1,5,6,8],[2,7],[3],[4]]                                      => 11
[[1,4,6,8],[2,7],[3],[5]]                                      => 15
[[1,3,6,8],[2,7],[4],[5]]                                      => 14
[[1,2,6,8],[3,7],[4],[5]]                                      => 12
[[1,4,5,8],[2,7],[3],[6]]                                      => 16
[[1,3,5,8],[2,7],[4],[6]]                                      => 19
[[1,2,5,8],[3,7],[4],[6]]                                      => 17
[[1,3,4,8],[2,7],[5],[6]]                                      => 15
[[1,2,4,8],[3,7],[5],[6]]                                      => 16
[[1,2,3,8],[4,7],[5],[6]]                                      => 13
[[1,4,6,8],[2,5],[3],[7]]                                      => 15
[[1,3,6,8],[2,5],[4],[7]]                                      => 18
[[1,2,6,8],[3,5],[4],[7]]                                      => 16
[[1,3,6,8],[2,4],[5],[7]]                                      => 14
[[1,2,6,8],[3,4],[5],[7]]                                      => 12
[[1,4,5,8],[2,6],[3],[7]]                                      => 10
[[1,3,5,8],[2,6],[4],[7]]                                      => 13
[[1,2,5,8],[3,6],[4],[7]]                                      => 11
[[1,3,4,8],[2,6],[5],[7]]                                      => 14
[[1,2,4,8],[3,6],[5],[7]]                                      => 15
[[1,2,3,8],[4,6],[5],[7]]                                      => 12
[[1,3,5,8],[2,4],[6],[7]]                                      => 13
[[1,2,5,8],[3,4],[6],[7]]                                      => 11
[[1,3,4,8],[2,5],[6],[7]]                                      => 9
[[1,2,4,8],[3,5],[6],[7]]                                      => 10
[[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]]                                      => 8
[[1,3,6,7],[2,8],[4],[5]]                                      => 7
[[1,2,6,7],[3,8],[4],[5]]                                      => 5
[[1,4,5,7],[2,8],[3],[6]]                                      => 9
[[1,3,5,7],[2,8],[4],[6]]                                      => 12
[[1,2,5,7],[3,8],[4],[6]]                                      => 10
[[1,3,4,7],[2,8],[5],[6]]                                      => 8
[[1,2,4,7],[3,8],[5],[6]]                                      => 9
[[1,2,3,7],[4,8],[5],[6]]                                      => 6
[[1,4,5,6],[2,8],[3],[7]]                                      => 10
[[1,3,5,6],[2,8],[4],[7]]                                      => 13
[[1,2,5,6],[3,8],[4],[7]]                                      => 11
[[1,3,4,6],[2,8],[5],[7]]                                      => 14
[[1,2,4,6],[3,8],[5],[7]]                                      => 15
[[1,2,3,6],[4,8],[5],[7]]                                      => 12
[[1,3,4,5],[2,8],[6],[7]]                                      => 9
[[1,2,4,5],[3,8],[6],[7]]                                      => 10
[[1,2,3,5],[4,8],[6],[7]]                                      => 11
[[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]]                                      => 11
[[1,2,6,7],[3,5],[4],[8]]                                      => 9
[[1,3,6,7],[2,4],[5],[8]]                                      => 7
[[1,2,6,7],[3,4],[5],[8]]                                      => 5
[[1,4,5,7],[2,6],[3],[8]]                                      => 9
[[1,3,5,7],[2,6],[4],[8]]                                      => 12
[[1,2,5,7],[3,6],[4],[8]]                                      => 10
[[1,3,4,7],[2,6],[5],[8]]                                      => 13
[[1,2,4,7],[3,6],[5],[8]]                                      => 14
[[1,2,3,7],[4,6],[5],[8]]                                      => 11
[[1,3,5,7],[2,4],[6],[8]]                                      => 12
[[1,2,5,7],[3,4],[6],[8]]                                      => 10
[[1,3,4,7],[2,5],[6],[8]]                                      => 8
[[1,2,4,7],[3,5],[6],[8]]                                      => 9
[[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]]                                      => 6
[[1,2,5,6],[3,7],[4],[8]]                                      => 4
[[1,3,4,6],[2,7],[5],[8]]                                      => 7
[[1,2,4,6],[3,7],[5],[8]]                                      => 8
[[1,2,3,6],[4,7],[5],[8]]                                      => 5
[[1,3,4,5],[2,7],[6],[8]]                                      => 8
[[1,2,4,5],[3,7],[6],[8]]                                      => 9
[[1,2,3,5],[4,7],[6],[8]]                                      => 10
[[1,2,3,4],[5,7],[6],[8]]                                      => 6
[[1,3,5,6],[2,4],[7],[8]]                                      => 6
[[1,2,5,6],[3,4],[7],[8]]                                      => 4
[[1,3,4,6],[2,5],[7],[8]]                                      => 7
[[1,2,4,6],[3,5],[7],[8]]                                      => 8
[[1,2,3,6],[4,5],[7],[8]]                                      => 5
[[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]]                                      => 0
[[1,6,7,8],[2],[3],[4],[5]]                                    => 5
[[1,5,7,8],[2],[3],[4],[6]]                                    => 10
[[1,4,7,8],[2],[3],[5],[6]]                                    => 9
[[1,3,7,8],[2],[4],[5],[6]]                                    => 8
[[1,2,7,8],[3],[4],[5],[6]]                                    => 6
[[1,5,6,8],[2],[3],[4],[7]]                                    => 11
[[1,4,6,8],[2],[3],[5],[7]]                                    => 15
[[1,3,6,8],[2],[4],[5],[7]]                                    => 14
[[1,2,6,8],[3],[4],[5],[7]]                                    => 12
[[1,4,5,8],[2],[3],[6],[7]]                                    => 10
[[1,3,5,8],[2],[4],[6],[7]]                                    => 13
[[1,2,5,8],[3],[4],[6],[7]]                                    => 11
[[1,3,4,8],[2],[5],[6],[7]]                                    => 9
[[1,2,4,8],[3],[5],[6],[7]]                                    => 10
[[1,2,3,8],[4],[5],[6],[7]]                                    => 7
[[1,5,6,7],[2],[3],[4],[8]]                                    => 4
[[1,4,6,7],[2],[3],[5],[8]]                                    => 8
[[1,3,6,7],[2],[4],[5],[8]]                                    => 7
[[1,2,6,7],[3],[4],[5],[8]]                                    => 5
[[1,4,5,7],[2],[3],[6],[8]]                                    => 9
[[1,3,5,7],[2],[4],[6],[8]]                                    => 12
[[1,2,5,7],[3],[4],[6],[8]]                                    => 10
[[1,3,4,7],[2],[5],[6],[8]]                                    => 8
[[1,2,4,7],[3],[5],[6],[8]]                                    => 9
[[1,2,3,7],[4],[5],[6],[8]]                                    => 6
[[1,4,5,6],[2],[3],[7],[8]]                                    => 3
[[1,3,5,6],[2],[4],[7],[8]]                                    => 6
[[1,2,5,6],[3],[4],[7],[8]]                                    => 4
[[1,3,4,6],[2],[5],[7],[8]]                                    => 7
[[1,2,4,6],[3],[5],[7],[8]]                                    => 8
[[1,2,3,6],[4],[5],[7],[8]]                                    => 5
[[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]]                                    => 0
[[1,4,7],[2,5,8],[3,6]]                                        => 9
[[1,3,7],[2,5,8],[4,6]]                                        => 12
[[1,2,7],[3,5,8],[4,6]]                                        => 10
[[1,3,7],[2,4,8],[5,6]]                                        => 8
[[1,2,7],[3,4,8],[5,6]]                                        => 6
[[1,4,6],[2,5,8],[3,7]]                                        => 15
[[1,3,6],[2,5,8],[4,7]]                                        => 18
[[1,2,6],[3,5,8],[4,7]]                                        => 16
[[1,3,6],[2,4,8],[5,7]]                                        => 14
[[1,2,6],[3,4,8],[5,7]]                                        => 12
[[1,4,5],[2,6,8],[3,7]]                                        => 10
[[1,3,5],[2,6,8],[4,7]]                                        => 13
[[1,2,5],[3,6,8],[4,7]]                                        => 11
[[1,3,4],[2,6,8],[5,7]]                                        => 14
[[1,2,4],[3,6,8],[5,7]]                                        => 15
[[1,2,3],[4,6,8],[5,7]]                                        => 12
[[1,3,5],[2,4,8],[6,7]]                                        => 13
[[1,2,5],[3,4,8],[6,7]]                                        => 11
[[1,3,4],[2,5,8],[6,7]]                                        => 9
[[1,2,4],[3,5,8],[6,7]]                                        => 10
[[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]]                                        => 11
[[1,2,6],[3,5,7],[4,8]]                                        => 9
[[1,3,6],[2,4,7],[5,8]]                                        => 7
[[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]]                                        => 6
[[1,2,5],[3,6,7],[4,8]]                                        => 4
[[1,3,4],[2,6,7],[5,8]]                                        => 7
[[1,2,4],[3,6,7],[5,8]]                                        => 8
[[1,2,3],[4,6,7],[5,8]]                                        => 5
[[1,3,5],[2,4,7],[6,8]]                                        => 12
[[1,2,5],[3,4,7],[6,8]]                                        => 10
[[1,3,4],[2,5,7],[6,8]]                                        => 8
[[1,2,4],[3,5,7],[6,8]]                                        => 9
[[1,2,3],[4,5,7],[6,8]]                                        => 6
[[1,3,5],[2,4,6],[7,8]]                                        => 6
[[1,2,5],[3,4,6],[7,8]]                                        => 4
[[1,3,4],[2,5,6],[7,8]]                                        => 2
[[1,2,4],[3,5,6],[7,8]]                                        => 3
[[1,2,3],[4,5,6],[7,8]]                                        => 0
[[1,5,7],[2,6,8],[3],[4]]                                      => 10
[[1,4,7],[2,6,8],[3],[5]]                                      => 14
[[1,3,7],[2,6,8],[4],[5]]                                      => 13
[[1,2,7],[3,6,8],[4],[5]]                                      => 11
[[1,4,7],[2,5,8],[3],[6]]                                      => 9
[[1,3,7],[2,5,8],[4],[6]]                                      => 12
[[1,2,7],[3,5,8],[4],[6]]                                      => 10
[[1,3,7],[2,4,8],[5],[6]]                                      => 8
[[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]]                                      => 8
[[1,3,6],[2,7,8],[4],[5]]                                      => 7
[[1,2,6],[3,7,8],[4],[5]]                                      => 5
[[1,4,5],[2,7,8],[3],[6]]                                      => 9
[[1,3,5],[2,7,8],[4],[6]]                                      => 12
[[1,2,5],[3,7,8],[4],[6]]                                      => 10
[[1,3,4],[2,7,8],[5],[6]]                                      => 8
[[1,2,4],[3,7,8],[5],[6]]                                      => 9
[[1,2,3],[4,7,8],[5],[6]]                                      => 6
[[1,4,6],[2,5,8],[3],[7]]                                      => 15
[[1,3,6],[2,5,8],[4],[7]]                                      => 18
[[1,2,6],[3,5,8],[4],[7]]                                      => 16
[[1,3,6],[2,4,8],[5],[7]]                                      => 14
[[1,2,6],[3,4,8],[5],[7]]                                      => 12
[[1,4,5],[2,6,8],[3],[7]]                                      => 10
[[1,3,5],[2,6,8],[4],[7]]                                      => 13
[[1,2,5],[3,6,8],[4],[7]]                                      => 11
[[1,3,4],[2,6,8],[5],[7]]                                      => 14
[[1,2,4],[3,6,8],[5],[7]]                                      => 15
[[1,2,3],[4,6,8],[5],[7]]                                      => 12
[[1,3,5],[2,4,8],[6],[7]]                                      => 13
[[1,2,5],[3,4,8],[6],[7]]                                      => 11
[[1,3,4],[2,5,8],[6],[7]]                                      => 9
[[1,2,4],[3,5,8],[6],[7]]                                      => 10
[[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]]                                      => 11
[[1,2,6],[3,5,7],[4],[8]]                                      => 9
[[1,3,6],[2,4,7],[5],[8]]                                      => 7
[[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]]                                      => 6
[[1,2,5],[3,6,7],[4],[8]]                                      => 4
[[1,3,4],[2,6,7],[5],[8]]                                      => 7
[[1,2,4],[3,6,7],[5],[8]]                                      => 8
[[1,2,3],[4,6,7],[5],[8]]                                      => 5
[[1,3,5],[2,4,7],[6],[8]]                                      => 12
[[1,2,5],[3,4,7],[6],[8]]                                      => 10
[[1,3,4],[2,5,7],[6],[8]]                                      => 8
[[1,2,4],[3,5,7],[6],[8]]                                      => 9
[[1,2,3],[4,5,7],[6],[8]]                                      => 6
[[1,3,5],[2,4,6],[7],[8]]                                      => 6
[[1,2,5],[3,4,6],[7],[8]]                                      => 4
[[1,3,4],[2,5,6],[7],[8]]                                      => 2
[[1,2,4],[3,5,6],[7],[8]]                                      => 3
[[1,2,3],[4,5,6],[7],[8]]                                      => 0
[[1,5,8],[2,6],[3,7],[4]]                                      => 11
[[1,4,8],[2,6],[3,7],[5]]                                      => 15
[[1,3,8],[2,6],[4,7],[5]]                                      => 14
[[1,2,8],[3,6],[4,7],[5]]                                      => 12
[[1,4,8],[2,5],[3,7],[6]]                                      => 16
[[1,3,8],[2,5],[4,7],[6]]                                      => 19
[[1,2,8],[3,5],[4,7],[6]]                                      => 17
[[1,3,8],[2,4],[5,7],[6]]                                      => 15
[[1,2,8],[3,4],[5,7],[6]]                                      => 13
[[1,4,8],[2,5],[3,6],[7]]                                      => 10
[[1,3,8],[2,5],[4,6],[7]]                                      => 13
[[1,2,8],[3,5],[4,6],[7]]                                      => 11
[[1,3,8],[2,4],[5,6],[7]]                                      => 9
[[1,2,8],[3,4],[5,6],[7]]                                      => 7
[[1,5,7],[2,6],[3,8],[4]]                                      => 10
[[1,4,7],[2,6],[3,8],[5]]                                      => 14
[[1,3,7],[2,6],[4,8],[5]]                                      => 13
[[1,2,7],[3,6],[4,8],[5]]                                      => 11
[[1,4,7],[2,5],[3,8],[6]]                                      => 9
[[1,3,7],[2,5],[4,8],[6]]                                      => 12
[[1,2,7],[3,5],[4,8],[6]]                                      => 10
[[1,3,7],[2,4],[5,8],[6]]                                      => 8
[[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]]                                      => 8
[[1,3,6],[2,7],[4,8],[5]]                                      => 7
[[1,2,6],[3,7],[4,8],[5]]                                      => 5
[[1,4,5],[2,7],[3,8],[6]]                                      => 9
[[1,3,5],[2,7],[4,8],[6]]                                      => 12
[[1,2,5],[3,7],[4,8],[6]]                                      => 10
[[1,3,4],[2,7],[5,8],[6]]                                      => 8
[[1,2,4],[3,7],[5,8],[6]]                                      => 9
[[1,2,3],[4,7],[5,8],[6]]                                      => 6
[[1,4,6],[2,5],[3,8],[7]]                                      => 15
[[1,3,6],[2,5],[4,8],[7]]                                      => 18
[[1,2,6],[3,5],[4,8],[7]]                                      => 16
[[1,3,6],[2,4],[5,8],[7]]                                      => 14
[[1,2,6],[3,4],[5,8],[7]]                                      => 12
[[1,4,5],[2,6],[3,8],[7]]                                      => 10
[[1,3,5],[2,6],[4,8],[7]]                                      => 13
[[1,2,5],[3,6],[4,8],[7]]                                      => 11
[[1,3,4],[2,6],[5,8],[7]]                                      => 14
[[1,2,4],[3,6],[5,8],[7]]                                      => 15
[[1,2,3],[4,6],[5,8],[7]]                                      => 12
[[1,3,5],[2,4],[6,8],[7]]                                      => 13
[[1,2,5],[3,4],[6,8],[7]]                                      => 11
[[1,3,4],[2,5],[6,8],[7]]                                      => 9
[[1,2,4],[3,5],[6,8],[7]]                                      => 10
[[1,2,3],[4,5],[6,8],[7]]                                      => 7
[[1,4,7],[2,5],[3,6],[8]]                                      => 9
[[1,3,7],[2,5],[4,6],[8]]                                      => 12
[[1,2,7],[3,5],[4,6],[8]]                                      => 10
[[1,3,7],[2,4],[5,6],[8]]                                      => 8
[[1,2,7],[3,4],[5,6],[8]]                                      => 6
[[1,4,6],[2,5],[3,7],[8]]                                      => 8
[[1,3,6],[2,5],[4,7],[8]]                                      => 11
[[1,2,6],[3,5],[4,7],[8]]                                      => 9
[[1,3,6],[2,4],[5,7],[8]]                                      => 7
[[1,2,6],[3,4],[5,7],[8]]                                      => 5
[[1,4,5],[2,6],[3,7],[8]]                                      => 3
[[1,3,5],[2,6],[4,7],[8]]                                      => 6
[[1,2,5],[3,6],[4,7],[8]]                                      => 4
[[1,3,4],[2,6],[5,7],[8]]                                      => 7
[[1,2,4],[3,6],[5,7],[8]]                                      => 8
[[1,2,3],[4,6],[5,7],[8]]                                      => 5
[[1,3,5],[2,4],[6,7],[8]]                                      => 6
[[1,2,5],[3,4],[6,7],[8]]                                      => 4
[[1,3,4],[2,5],[6,7],[8]]                                      => 2
[[1,2,4],[3,5],[6,7],[8]]                                      => 3
[[1,2,3],[4,5],[6,7],[8]]                                      => 0
[[1,6,8],[2,7],[3],[4],[5]]                                    => 12
[[1,5,8],[2,7],[3],[4],[6]]                                    => 17
[[1,4,8],[2,7],[3],[5],[6]]                                    => 16
[[1,3,8],[2,7],[4],[5],[6]]                                    => 15
[[1,2,8],[3,7],[4],[5],[6]]                                    => 13
[[1,5,8],[2,6],[3],[4],[7]]                                    => 11
[[1,4,8],[2,6],[3],[5],[7]]                                    => 15
[[1,3,8],[2,6],[4],[5],[7]]                                    => 14
[[1,2,8],[3,6],[4],[5],[7]]                                    => 12
[[1,4,8],[2,5],[3],[6],[7]]                                    => 10
[[1,3,8],[2,5],[4],[6],[7]]                                    => 13
[[1,2,8],[3,5],[4],[6],[7]]                                    => 11
[[1,3,8],[2,4],[5],[6],[7]]                                    => 9
[[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]]                                    => 10
[[1,4,7],[2,8],[3],[5],[6]]                                    => 9
[[1,3,7],[2,8],[4],[5],[6]]                                    => 8
[[1,2,7],[3,8],[4],[5],[6]]                                    => 6
[[1,5,6],[2,8],[3],[4],[7]]                                    => 11
[[1,4,6],[2,8],[3],[5],[7]]                                    => 15
[[1,3,6],[2,8],[4],[5],[7]]                                    => 14
[[1,2,6],[3,8],[4],[5],[7]]                                    => 12
[[1,4,5],[2,8],[3],[6],[7]]                                    => 10
[[1,3,5],[2,8],[4],[6],[7]]                                    => 13
[[1,2,5],[3,8],[4],[6],[7]]                                    => 11
[[1,3,4],[2,8],[5],[6],[7]]                                    => 9
[[1,2,4],[3,8],[5],[6],[7]]                                    => 10
[[1,2,3],[4,8],[5],[6],[7]]                                    => 7
[[1,5,7],[2,6],[3],[4],[8]]                                    => 10
[[1,4,7],[2,6],[3],[5],[8]]                                    => 14
[[1,3,7],[2,6],[4],[5],[8]]                                    => 13
[[1,2,7],[3,6],[4],[5],[8]]                                    => 11
[[1,4,7],[2,5],[3],[6],[8]]                                    => 9
[[1,3,7],[2,5],[4],[6],[8]]                                    => 12
[[1,2,7],[3,5],[4],[6],[8]]                                    => 10
[[1,3,7],[2,4],[5],[6],[8]]                                    => 8
[[1,2,7],[3,4],[5],[6],[8]]                                    => 6
[[1,5,6],[2,7],[3],[4],[8]]                                    => 4
[[1,4,6],[2,7],[3],[5],[8]]                                    => 8
[[1,3,6],[2,7],[4],[5],[8]]                                    => 7
[[1,2,6],[3,7],[4],[5],[8]]                                    => 5
[[1,4,5],[2,7],[3],[6],[8]]                                    => 9
[[1,3,5],[2,7],[4],[6],[8]]                                    => 12
[[1,2,5],[3,7],[4],[6],[8]]                                    => 10
[[1,3,4],[2,7],[5],[6],[8]]                                    => 8
[[1,2,4],[3,7],[5],[6],[8]]                                    => 9
[[1,2,3],[4,7],[5],[6],[8]]                                    => 6
[[1,4,6],[2,5],[3],[7],[8]]                                    => 8
[[1,3,6],[2,5],[4],[7],[8]]                                    => 11
[[1,2,6],[3,5],[4],[7],[8]]                                    => 9
[[1,3,6],[2,4],[5],[7],[8]]                                    => 7
[[1,2,6],[3,4],[5],[7],[8]]                                    => 5
[[1,4,5],[2,6],[3],[7],[8]]                                    => 3
[[1,3,5],[2,6],[4],[7],[8]]                                    => 6
[[1,2,5],[3,6],[4],[7],[8]]                                    => 4
[[1,3,4],[2,6],[5],[7],[8]]                                    => 7
[[1,2,4],[3,6],[5],[7],[8]]                                    => 8
[[1,2,3],[4,6],[5],[7],[8]]                                    => 5
[[1,3,5],[2,4],[6],[7],[8]]                                    => 6
[[1,2,5],[3,4],[6],[7],[8]]                                    => 4
[[1,3,4],[2,5],[6],[7],[8]]                                    => 2
[[1,2,4],[3,5],[6],[7],[8]]                                    => 3
[[1,2,3],[4,5],[6],[7],[8]]                                    => 0
[[1,7,8],[2],[3],[4],[5],[6]]                                  => 6
[[1,6,8],[2],[3],[4],[5],[7]]                                  => 12
[[1,5,8],[2],[3],[4],[6],[7]]                                  => 11
[[1,4,8],[2],[3],[5],[6],[7]]                                  => 10
[[1,3,8],[2],[4],[5],[6],[7]]                                  => 9
[[1,2,8],[3],[4],[5],[6],[7]]                                  => 7
[[1,6,7],[2],[3],[4],[5],[8]]                                  => 5
[[1,5,7],[2],[3],[4],[6],[8]]                                  => 10
[[1,4,7],[2],[3],[5],[6],[8]]                                  => 9
[[1,3,7],[2],[4],[5],[6],[8]]                                  => 8
[[1,2,7],[3],[4],[5],[6],[8]]                                  => 6
[[1,5,6],[2],[3],[4],[7],[8]]                                  => 4
[[1,4,6],[2],[3],[5],[7],[8]]                                  => 8
[[1,3,6],[2],[4],[5],[7],[8]]                                  => 7
[[1,2,6],[3],[4],[5],[7],[8]]                                  => 5
[[1,4,5],[2],[3],[6],[7],[8]]                                  => 3
[[1,3,5],[2],[4],[6],[7],[8]]                                  => 6
[[1,2,5],[3],[4],[6],[7],[8]]                                  => 4
[[1,3,4],[2],[5],[6],[7],[8]]                                  => 2
[[1,2,4],[3],[5],[6],[7],[8]]                                  => 3
[[1,2,3],[4],[5],[6],[7],[8]]                                  => 0
[[1,5],[2,6],[3,7],[4,8]]                                      => 4
[[1,4],[2,6],[3,7],[5,8]]                                      => 8
[[1,3],[2,6],[4,7],[5,8]]                                      => 7
[[1,2],[3,6],[4,7],[5,8]]                                      => 5
[[1,4],[2,5],[3,7],[6,8]]                                      => 9
[[1,3],[2,5],[4,7],[6,8]]                                      => 12
[[1,2],[3,5],[4,7],[6,8]]                                      => 10
[[1,3],[2,4],[5,7],[6,8]]                                      => 8
[[1,2],[3,4],[5,7],[6,8]]                                      => 6
[[1,4],[2,5],[3,6],[7,8]]                                      => 3
[[1,3],[2,5],[4,6],[7,8]]                                      => 6
[[1,2],[3,5],[4,6],[7,8]]                                      => 4
[[1,3],[2,4],[5,6],[7,8]]                                      => 2
[[1,2],[3,4],[5,6],[7,8]]                                      => 0
[[1,6],[2,7],[3,8],[4],[5]]                                    => 5
[[1,5],[2,7],[3,8],[4],[6]]                                    => 10
[[1,4],[2,7],[3,8],[5],[6]]                                    => 9
[[1,3],[2,7],[4,8],[5],[6]]                                    => 8
[[1,2],[3,7],[4,8],[5],[6]]                                    => 6
[[1,5],[2,6],[3,8],[4],[7]]                                    => 11
[[1,4],[2,6],[3,8],[5],[7]]                                    => 15
[[1,3],[2,6],[4,8],[5],[7]]                                    => 14
[[1,2],[3,6],[4,8],[5],[7]]                                    => 12
[[1,4],[2,5],[3,8],[6],[7]]                                    => 10
[[1,3],[2,5],[4,8],[6],[7]]                                    => 13
[[1,2],[3,5],[4,8],[6],[7]]                                    => 11
[[1,3],[2,4],[5,8],[6],[7]]                                    => 9
[[1,2],[3,4],[5,8],[6],[7]]                                    => 7
[[1,5],[2,6],[3,7],[4],[8]]                                    => 4
[[1,4],[2,6],[3,7],[5],[8]]                                    => 8
[[1,3],[2,6],[4,7],[5],[8]]                                    => 7
[[1,2],[3,6],[4,7],[5],[8]]                                    => 5
[[1,4],[2,5],[3,7],[6],[8]]                                    => 9
[[1,3],[2,5],[4,7],[6],[8]]                                    => 12
[[1,2],[3,5],[4,7],[6],[8]]                                    => 10
[[1,3],[2,4],[5,7],[6],[8]]                                    => 8
[[1,2],[3,4],[5,7],[6],[8]]                                    => 6
[[1,4],[2,5],[3,6],[7],[8]]                                    => 3
[[1,3],[2,5],[4,6],[7],[8]]                                    => 6
[[1,2],[3,5],[4,6],[7],[8]]                                    => 4
[[1,3],[2,4],[5,6],[7],[8]]                                    => 2
[[1,2],[3,4],[5,6],[7],[8]]                                    => 0
[[1,7],[2,8],[3],[4],[5],[6]]                                  => 6
[[1,6],[2,8],[3],[4],[5],[7]]                                  => 12
[[1,5],[2,8],[3],[4],[6],[7]]                                  => 11
[[1,4],[2,8],[3],[5],[6],[7]]                                  => 10
[[1,3],[2,8],[4],[5],[6],[7]]                                  => 9
[[1,2],[3,8],[4],[5],[6],[7]]                                  => 7
[[1,6],[2,7],[3],[4],[5],[8]]                                  => 5
[[1,5],[2,7],[3],[4],[6],[8]]                                  => 10
[[1,4],[2,7],[3],[5],[6],[8]]                                  => 9
[[1,3],[2,7],[4],[5],[6],[8]]                                  => 8
[[1,2],[3,7],[4],[5],[6],[8]]                                  => 6
[[1,5],[2,6],[3],[4],[7],[8]]                                  => 4
[[1,4],[2,6],[3],[5],[7],[8]]                                  => 8
[[1,3],[2,6],[4],[5],[7],[8]]                                  => 7
[[1,2],[3,6],[4],[5],[7],[8]]                                  => 5
[[1,4],[2,5],[3],[6],[7],[8]]                                  => 3
[[1,3],[2,5],[4],[6],[7],[8]]                                  => 6
[[1,2],[3,5],[4],[6],[7],[8]]                                  => 4
[[1,3],[2,4],[5],[6],[7],[8]]                                  => 2
[[1,2],[3,4],[5],[6],[7],[8]]                                  => 0
[[1,8],[2],[3],[4],[5],[6],[7]]                                => 7
[[1,7],[2],[3],[4],[5],[6],[8]]                                => 6
[[1,6],[2],[3],[4],[5],[7],[8]]                                => 5
[[1,5],[2],[3],[4],[6],[7],[8]]                                => 4
[[1,4],[2],[3],[5],[6],[7],[8]]                                => 3
[[1,3],[2],[4],[5],[6],[7],[8]]                                => 2
[[1,2],[3],[4],[5],[6],[7],[8]]                                => 0
[[1],[2],[3],[4],[5],[6],[7],[8]]                              => 0
[[1,2,3,4,5,6,7,8,9]]                                          => 0
[[1,2,3,4,5,6,7,8],[9]]                                        => 0
[[1,2,3,4,5,6,7],[8,9]]                                        => 0
[[1,2,3,4,5,6,7],[8],[9]]                                      => 0
[[1,2,3,4,5,6],[7,8,9]]                                        => 0
[[1,2,3,4,5,6],[7,8],[9]]                                      => 0
[[1,2,3,4,5,6],[7],[8],[9]]                                    => 0
[[1,2,3,4,5],[6,7,8,9]]                                        => 0
[[1,2,3,4,5],[6,7,8],[9]]                                      => 0
[[1,2,3,4,5],[6,7],[8,9]]                                      => 0
[[1,2,3,4,5],[6,7],[8],[9]]                                    => 0
[[1,2,3,4,5],[6],[7],[8],[9]]                                  => 0
[[1,2,3,4],[5,6,7,8],[9]]                                      => 0
[[1,2,3,4],[5,6,7],[8,9]]                                      => 0
[[1,2,3,4],[5,6,7],[8],[9]]                                    => 0
[[1,2,3,4],[5,6],[7,8],[9]]                                    => 0
[[1,2,3,4],[5,6],[7],[8],[9]]                                  => 0
[[1,2,3,4],[5],[6],[7],[8],[9]]                                => 0
[[1,2,3],[4,5,6],[7,8,9]]                                      => 0
[[1,2,3],[4,5,6],[7,8],[9]]                                    => 0
[[1,2,3],[4,5,6],[7],[8],[9]]                                  => 0
[[1,2,3],[4,5],[6,7],[8,9]]                                    => 0
[[1,2,3],[4,5],[6,7],[8],[9]]                                  => 0
[[1,2,3],[4,5],[6],[7],[8],[9]]                                => 0
[[1,2,3],[4],[5],[6],[7],[8],[9]]                              => 0
[[1,2],[3,4],[5,6],[7,8],[9]]                                  => 0
[[1,2],[3,4],[5,6],[7],[8],[9]]                                => 0
[[1,2],[3,4],[5],[6],[7],[8],[9]]                              => 0
[[1,2],[3],[4],[5],[6],[7],[8],[9]]                            => 0
[[1],[2],[3],[4],[5],[6],[7],[8],[9]]                          => 0
[[1,3,4,5,6,7,8,9],[2]]                                        => 2
[[1,2,5,6,7,8,9],[3,4]]                                        => 4
[[1,4,5,6,7,8,9],[2],[3]]                                      => 3
[[1,2,3,7,8,9],[4,5,6]]                                        => 6
[[1,3,6,7,8,9],[2,5],[4]]                                      => 11
[[1,5,6,7,8,9],[2],[3],[4]]                                    => 4
[[1,2,3,4,9],[5,6,7,8]]                                        => 8
[[1,3,4,8,9],[2,6,7],[5]]                                      => 14
[[1,2,7,8,9],[3,4],[5,6]]                                      => 6
[[1,4,7,8,9],[2,6],[3],[5]]                                    => 14
[[1,6,7,8,9],[2],[3],[4],[5]]                                  => 5
[[1,3,4,5],[2,7,8,9],[6]]                                      => 8
[[1,2,5,9],[3,4,8],[6,7]]                                      => 19
[[1,4,5,9],[2,7,8],[3],[6]]                                    => 17
[[1,3,8,9],[2,5],[4,7],[6]]                                    => 19
[[1,5,8,9],[2,7],[3],[4],[6]]                                  => 17
[[1,7,8,9],[2],[3],[4],[5],[6]]                                => 6
[[1,3,6],[2,5,9],[4,8],[7]]                                    => 26
[[1,5,6],[2,8,9],[3],[4],[7]]                                  => 11
[[1,2,9],[3,4],[5,6],[7,8]]                                    => 8
[[1,4,9],[2,6],[3,8],[5],[7]]                                  => 23
[[1,6,9],[2,8],[3],[4],[5],[7]]                                => 20
[[1,8,9],[2],[3],[4],[5],[6],[7]]                              => 7
[[1,3],[2,5],[4,7],[6,9],[8]]                                  => 20
[[1,5],[2,7],[3,9],[4],[6],[8]]                                => 18
[[1,7],[2,9],[3],[4],[5],[6],[8]]                              => 14
[[1,9],[2],[3],[4],[5],[6],[7],[8]]                            => 8
[[1,8],[2,9],[3],[4],[5],[6],[7]]                              => 7
[[1,7],[2,8],[3,9],[4],[5],[6]]                                => 6
[[1,7,9],[2,8],[3],[4],[5],[6]]                                => 14
[[1,6],[2,7],[3,8],[4,9],[5]]                                  => 5
[[1,6,9],[2,7],[3,8],[4],[5]]                                  => 13
[[1,6,8],[2,7,9],[3],[4],[5]]                                  => 12
[[1,6,8,9],[2,7],[3],[4],[5]]                                  => 12
[[1,5,9],[2,6],[3,7],[4,8]]                                    => 12
[[1,5,8],[2,6,9],[3,7],[4]]                                    => 11
[[1,5,8,9],[2,6],[3,7],[4]]                                    => 11
[[1,5,7,9],[2,6,8],[3],[4]]                                    => 18
[[1,5,7,8,9],[2,6],[3],[4]]                                    => 10
[[1,4,7],[2,5,8],[3,6,9]]                                      => 9
[[1,4,7,9],[2,5,8],[3,6]]                                      => 17
[[1,4,7,8,9],[2,5],[3,6]]                                      => 9
[[1,4,6,8],[2,5,7,9],[3]]                                      => 15
[[1,4,6,8,9],[2,5,7],[3]]                                      => 15
[[1,4,6,7,8,9],[2,5],[3]]                                      => 8
[[1,3,5,7,9],[2,4,6,8]]                                        => 20
[[1,3,5,7,8,9],[2,4,6]]                                        => 12
[[1,3,5,6,7,8,9],[2,4]]                                        => 6
[[1,3],[2,4],[5],[6],[7],[8],[9]]                              => 2
[[1,4],[2,5],[3,6],[7],[8],[9]]                                => 3
[[1,2,4],[3,5],[6],[7],[8],[9]]                                => 3
[[1,5],[2,6],[3,7],[4,8],[9]]                                  => 4
[[1,2,5],[3,6],[4,7],[8],[9]]                                  => 4
[[1,3,5],[2,4,6],[7],[8],[9]]                                  => 6
[[1,2,3,5],[4,6],[7],[8],[9]]                                  => 4
[[1,2,6],[3,7],[4,8],[5,9]]                                    => 5
[[1,3,6],[2,4,7],[5,8],[9]]                                    => 7
[[1,2,3,6],[4,7],[5,8],[9]]                                    => 5
[[1,2,4,6],[3,5,7],[8],[9]]                                    => 8
[[1,2,3,4,6],[5,7],[8],[9]]                                    => 5
[[1,2,4,7],[3,5,8],[6,9]]                                      => 9
[[1,2,3,4,7],[5,8],[6,9]]                                      => 6
[[1,3,5,7],[2,4,6,8],[9]]                                      => 12
[[1,2,3,5,7],[4,6,8],[9]]                                      => 10
[[1,2,3,4,5,7],[6,8],[9]]                                      => 6
[[1,2,4,6,8],[3,5,7,9]]                                        => 15
[[1,2,3,4,6,8],[5,7,9]]                                        => 12
[[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]]                                        => 8
[[1,2,3,4,5,6,9],[7],[8]]                                      => 8
[[1,2,3,4,5,9],[6,7,8]]                                        => 8
[[1,2,3,4,5,9],[6,7],[8]]                                      => 8
[[1,2,3,4,5,9],[6],[7],[8]]                                    => 8
[[1,2,3,4,9],[5,6,7],[8]]                                      => 8
[[1,2,3,4,9],[5,6],[7,8]]                                      => 8
[[1,2,3,4,9],[5,6],[7],[8]]                                    => 8
[[1,2,3,4,9],[5],[6],[7],[8]]                                  => 8
[[1,2,3,7],[4,5,6,9],[8]]                                      => 14
[[1,2,3,9],[4,5,6],[7,8]]                                      => 8
[[1,2,3,9],[4,5,6],[7],[8]]                                    => 8
[[1,2,3,9],[4,5],[6,7],[8]]                                    => 8
[[1,2,3,9],[4,5],[6],[7],[8]]                                  => 8
[[1,2,3,9],[4],[5],[6],[7],[8]]                                => 8
[[1,2,5],[3,4,8],[6,7,9]]                                      => 11
[[1,2,5],[3,4,9],[6,7],[8]]                                    => 12
[[1,2,5],[3,4,9],[6],[7],[8]]                                  => 12
[[1,2,9],[3,4],[5,6],[7],[8]]                                  => 8
[[1,2,9],[3,4],[5],[6],[7],[8]]                                => 8
[[1,2,9],[3],[4],[5],[6],[7],[8]]                              => 8
[[1,3],[2,5],[4,9],[6],[7],[8]]                                => 14
[[1,3],[2,9],[4],[5],[6],[7],[8]]                              => 10
[[1,2,4,5,6,7,8,9],[3]]                                        => 3
[[1,4],[2,6],[3,8],[5],[7],[9]]                                => 15
[[1,6],[2,8],[3],[4],[5],[7],[9]]                              => 12
[[1,8],[2],[3],[4],[5],[6],[7],[9]]                            => 7
[[1,3,4,5,6,7,8],[2,9]]                                        => 2
[[1,3,4,5,6,7,8],[2],[9]]                                      => 2
[[1,3,4,5,6,7],[2,8,9]]                                        => 2
[[1,3,4,5,6,7],[2,9],[8]]                                      => 10
[[1,3,4,5,6,7],[2],[8],[9]]                                    => 2
[[1,3,4,5,6],[2,7,8,9]]                                        => 2
[[1,3,4,5,6],[2,8,9],[7]]                                      => 9
[[1,3,4,5,6],[2,8],[7,9]]                                      => 9
[[1,3,4,5,6],[2,8],[7],[9]]                                    => 9
[[1,3,4,5,6],[2],[7],[8],[9]]                                  => 2
[[1,3,4,5],[2,7,8],[6,9]]                                      => 8
[[1,3,4,5],[2,7,8],[6],[9]]                                    => 8
[[1,3,4,5],[2,7],[6,9],[8]]                                    => 16
[[1,3,4,5],[2,7],[6],[8],[9]]                                  => 8
[[1,3,4,5],[2],[6],[7],[8],[9]]                                => 2
[[1,3,4],[2,6,7],[5,8,9]]                                      => 7
[[1,3,4],[2,6,7],[5,9],[8]]                                    => 15
[[1,3,4],[2,6,7],[5],[8],[9]]                                  => 7
[[1,3,4],[2,6],[5,8],[7,9]]                                    => 14
[[1,3,4],[2,6],[5,8],[7],[9]]                                  => 14
[[1,3,4],[2,6],[5],[7],[8],[9]]                                => 7
[[1,3,4],[2],[5],[6],[7],[8],[9]]                              => 2
[[1,3],[2,5],[4,7],[6],[8],[9]]                                => 12
[[1,3],[2,5],[4],[6],[7],[8],[9]]                              => 6
[[1,3],[2],[4],[5],[6],[7],[8],[9]]                            => 2
[[1,2,5,6,7,8],[3,4,9]]                                        => 4
[[1,2,5,6,7,8],[3,4],[9]]                                      => 4
[[1,4,5,6,7,8],[2],[3],[9]]                                    => 3
[[1,2,3,7,8],[4,5,6,9]]                                        => 6
[[1,2,3,7,8],[4,5,6],[9]]                                      => 6
[[1,3,6,7,8],[2,5],[4,9]]                                      => 11
[[1,3,6,7,8],[2,5],[4],[9]]                                    => 11
[[1,5,6,7,8],[2],[3],[4],[9]]                                  => 4
[[1,3,4,8],[2,6,7],[5,9]]                                      => 14
[[1,3,4,8],[2,6,7],[5],[9]]                                    => 14
[[1,2,7,8],[3,4],[5,6],[9]]                                    => 6
[[1,4,7,8],[2,6],[3],[5],[9]]                                  => 14
[[1,6,7,8],[2],[3],[4],[5],[9]]                                => 5
[[1,2,5],[3,4,8],[6,7],[9]]                                    => 11
[[1,4,5],[2,7,8],[3],[6],[9]]                                  => 9
[[1,3,8],[2,5],[4,7],[6,9]]                                    => 19
[[1,3,8],[2,5],[4,7],[6],[9]]                                  => 19
[[1,5,8],[2,7],[3],[4],[6],[9]]                                => 17
[[1,7,8],[2],[3],[4],[5],[6],[9]]                              => 6
[[1,2,3,6,7,8,9],[4,5]]                                        => 5
[[1,2,5,6,7,8,9],[3],[4]]                                      => 4
[[1,2,3,4,8,9],[5,6,7]]                                        => 7
[[1,2,4,7,8,9],[3,6],[5]]                                      => 14
[[1,2,6,7,8,9],[3],[4],[5]]                                    => 5
[[1,2,4,5,9],[3,7,8],[6]]                                      => 17
[[1,2,3,8,9],[4,5],[6,7]]                                      => 7
[[1,2,5,8,9],[3,7],[4],[6]]                                    => 17
[[1,2,7,8,9],[3],[4],[5],[6]]                                  => 6
[[1,2,5,6],[3,4,8,9],[7]]                                      => 11
[[1,2,3,6],[4,5,9],[7,8]]                                      => 13
[[1,2,5,6],[3,8,9],[4],[7]]                                    => 11
[[1,2,4,9],[3,6],[5,8],[7]]                                    => 23
[[1,2,6,9],[3,8],[4],[5],[7]]                                  => 20
[[1,2,8,9],[3],[4],[5],[6],[7]]                                => 7
[[1,2,4],[3,6,7],[5,9],[8]]                                    => 16
[[1,2,7],[3,6,9],[4],[5],[8]]                                  => 19
[[1,2,5],[3,7],[4,9],[6],[8]]                                  => 18
[[1,2,7],[3,9],[4],[5],[6],[8]]                                => 14
[[1,2],[3,6],[4,8],[5],[7],[9]]                                => 12
[[1,2],[3,8],[4],[5],[6],[7],[9]]                              => 7
[[1,2,3,4,7,8,9],[5,6]]                                        => 6
[[1,2,4,5,8,9],[3,7],[6]]                                      => 16
[[1,2,4,5,6,7],[3,9],[8]]                                      => 11
[[1,2,5,6,9],[3,8],[4],[7]]                                    => 19
[[1,2,3,4,7,8],[5,6],[9]]                                      => 6
[[1,2,5,6,7,8],[3],[4],[9]]                                    => 4
[[1,2,4,5],[3,7],[6,9],[8]]                                    => 17
[[1,2,6,7],[3,9],[4],[5],[8]]                                  => 13
[[1,2,5,6],[3,8],[4],[7],[9]]                                  => 11
[[1,2,7,8],[3],[4],[5],[6],[9]]                                => 6
[[1,3,5,7,9],[2,4,6,8,10]]                                     => 20
[[1,3,5,7,8],[2,4,6,9,10]]                                     => 12
[[1,3,5,6,9],[2,4,7,8,10]]                                     => 14
[[1,3,5,6,8],[2,4,7,9,10]]                                     => 13
[[1,3,5,6,7],[2,4,8,9,10]]                                     => 6
[[1,3,4,7,9],[2,5,6,8,10]]                                     => 16
[[1,3,4,7,8],[2,5,6,9,10]]                                     => 8
[[1,3,4,6,9],[2,5,7,8,10]]                                     => 15
[[1,3,4,6,8],[2,5,7,9,10]]                                     => 14
[[1,3,4,6,7],[2,5,8,9,10]]                                     => 7
[[1,3,4,5,9],[2,6,7,8,10]]                                     => 10
[[1,3,4,5,8],[2,6,7,9,10]]                                     => 9
[[1,3,4,5,7],[2,6,8,9,10]]                                     => 8
[[1,3,4,5,6],[2,7,8,9,10]]                                     => 2
[[1,2,5,7,9],[3,4,6,8,10]]                                     => 18
[[1,2,5,7,8],[3,4,6,9,10]]                                     => 10
[[1,2,5,6,9],[3,4,7,8,10]]                                     => 12
[[1,2,5,6,8],[3,4,7,9,10]]                                     => 11
[[1,2,5,6,7],[3,4,8,9,10]]                                     => 4
[[1,2,4,7,9],[3,5,6,8,10]]                                     => 17
[[1,2,4,7,8],[3,5,6,9,10]]                                     => 9
[[1,2,4,6,9],[3,5,7,8,10]]                                     => 16
[[1,2,4,6,8],[3,5,7,9,10]]                                     => 15
[[1,2,4,6,7],[3,5,8,9,10]]                                     => 8
[[1,2,4,5,9],[3,6,7,8,10]]                                     => 11
[[1,2,4,5,8],[3,6,7,9,10]]                                     => 10
[[1,2,4,5,7],[3,6,8,9,10]]                                     => 9
[[1,2,4,5,6],[3,7,8,9,10]]                                     => 3
[[1,2,3,7,9],[4,5,6,8,10]]                                     => 14
[[1,2,3,7,8],[4,5,6,9,10]]                                     => 6
[[1,2,3,6,9],[4,5,7,8,10]]                                     => 13
[[1,2,3,6,8],[4,5,7,9,10]]                                     => 12
[[1,2,3,6,7],[4,5,8,9,10]]                                     => 5
[[1,2,3,5,9],[4,6,7,8,10]]                                     => 12
[[1,2,3,5,8],[4,6,7,9,10]]                                     => 11
[[1,2,3,5,7],[4,6,8,9,10]]                                     => 10
[[1,2,3,5,6],[4,7,8,9,10]]                                     => 4
[[1,2,3,4,9],[5,6,7,8,10]]                                     => 8
[[1,2,3,4,8],[5,6,7,9,10]]                                     => 7
[[1,2,3,4,7],[5,6,8,9,10]]                                     => 6
[[1,2,3,4,6],[5,7,8,9,10]]                                     => 5
[[1,2,3,4,5],[6,7,8,9,10]]                                     => 0
[[1,2,3,4,5,6,7,8,9,10]]                                       => 0
[[1,2,3,4,5,6,7,8,9],[10]]                                     => 0
[[1,2,3,4,5,6,7,8],[9,10]]                                     => 0
[[1,2,3,4,5,6,7,8],[9],[10]]                                   => 0
[[1,2,3,4,5,6,7],[8,9,10]]                                     => 0
[[1,2,3,4,5,6,7],[8,9],[10]]                                   => 0
[[1,2,3,4,5,6,7],[8],[9],[10]]                                 => 0
[[1,2,3,4,5,6],[7,8,9,10]]                                     => 0
[[1,2,3,4,5,6],[7,8,9],[10]]                                   => 0
[[1,2,3,4,5,6],[7,8],[9,10]]                                   => 0
[[1,2,3,4,5,6],[7,8],[9],[10]]                                 => 0
[[1,2,3,4,5,6],[7],[8],[9],[10]]                               => 0
[[1,2,3,4,5],[6,7,8,9],[10]]                                   => 0
[[1,2,3,4,5],[6,7,8],[9,10]]                                   => 0
[[1,2,3,4,5],[6,7,8],[9],[10]]                                 => 0
[[1,2,3,4,5],[6,7],[8,9],[10]]                                 => 0
[[1,2,3,4,5],[6,7],[8],[9],[10]]                               => 0
[[1,2,3,4,5],[6],[7],[8],[9],[10]]                             => 0
[[1,2,3,4],[5,6,7,8],[9,10]]                                   => 0
[[1,2,3,4],[5,6,7,8],[9],[10]]                                 => 0
[[1,2,3,4],[5,6,7],[8,9,10]]                                   => 0
[[1,2,3,4],[5,6,7],[8,9],[10]]                                 => 0
[[1,2,3,4],[5,6,7],[8],[9],[10]]                               => 0
[[1,2,3,4],[5,6],[7,8],[9,10]]                                 => 0
[[1,2,3,4],[5,6],[7,8],[9],[10]]                               => 0
[[1,2,3,4],[5,6],[7],[8],[9],[10]]                             => 0
[[1,2,3,4],[5],[6],[7],[8],[9],[10]]                           => 0
[[1,2,3],[4,5,6],[7,8,9],[10]]                                 => 0
[[1,2,3],[4,5,6],[7,8],[9,10]]                                 => 0
[[1,2,3],[4,5,6],[7,8],[9],[10]]                               => 0
[[1,2,3],[4,5,6],[7],[8],[9],[10]]                             => 0
[[1,2,3],[4,5],[6,7],[8,9],[10]]                               => 0
[[1,2,3],[4,5],[6,7],[8],[9],[10]]                             => 0
[[1,2,3],[4,5],[6],[7],[8],[9],[10]]                           => 0
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]                         => 0
[[1,2],[3,4],[5,6],[7,8],[9,10]]                               => 0
[[1,2],[3,4],[5,6],[7,8],[9],[10]]                             => 0
[[1,2],[3,4],[5,6],[7],[8],[9],[10]]                           => 0
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]                         => 0
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]                       => 0
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]                     => 0
[[1,3,4,5,6,7,8,9,10],[2]]                                     => 2
[[1,2,5,6,7,8,9,10],[3,4]]                                     => 4
[[1,4,5,6,7,8,9,10],[2],[3]]                                   => 3
[[1,2,3,7,8,9,10],[4,5,6]]                                     => 6
[[1,3,6,7,8,9,10],[2,5],[4]]                                   => 11
[[1,5,6,7,8,9,10],[2],[3],[4]]                                 => 4
[[1,2,3,4,9,10],[5,6,7,8]]                                     => 8
[[1,3,4,8,9,10],[2,6,7],[5]]                                   => 14
[[1,2,7,8,9,10],[3,4],[5,6]]                                   => 6
[[1,4,7,8,9,10],[2,6],[3],[5]]                                 => 14
[[1,6,7,8,9,10],[2],[3],[4],[5]]                               => 5
[[1,3,4,5,10],[2,7,8,9],[6]]                                   => 17
[[1,2,5,9,10],[3,4,8],[6,7]]                                   => 19
[[1,4,5,9,10],[2,7,8],[3],[6]]                                 => 17
[[1,3,8,9,10],[2,5],[4,7],[6]]                                 => 19
[[1,5,8,9,10],[2,7],[3],[4],[6]]                               => 17
[[1,7,8,9,10],[2],[3],[4],[5],[6]]                             => 6
[[1,2,5,6],[3,4,9,10],[7,8]]                                   => 12
[[1,4,5,6],[2,8,9,10],[3],[7]]                                 => 10
[[1,2,3,10],[4,5,6],[7,8,9]]                                   => 9
[[1,3,6,10],[2,5,9],[4,8],[7]]                                 => 35
[[1,5,6,10],[2,8,9],[3],[4],[7]]                               => 20
[[1,2,9,10],[3,4],[5,6],[7,8]]                                 => 8
[[1,4,9,10],[2,6],[3,8],[5],[7]]                               => 23
[[1,6,9,10],[2,8],[3],[4],[5],[7]]                             => 20
[[1,8,9,10],[2],[3],[4],[5],[6],[7]]                           => 7
[[1,3,4],[2,6,7],[5,9,10],[8]]                                 => 15
[[1,2,7],[3,4,10],[5,6],[8,9]]                                 => 15
[[1,4,7],[2,6,10],[3,9],[5],[8]]                               => 31
[[1,6,7],[2,9,10],[3],[4],[5],[8]]                             => 13
[[1,3,10],[2,5],[4,7],[6,9],[8]]                               => 29
[[1,5,10],[2,7],[3,9],[4],[6],[8]]                             => 27
[[1,7,10],[2,9],[3],[4],[5],[6],[8]]                           => 23
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]                         => 8
[[1,4],[2,6],[3,8],[5,10],[7],[9]]                             => 24
[[1,6],[2,8],[3,10],[4],[5],[7],[9]]                           => 21
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]                         => 16
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]                       => 9
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]                         => 8
[[1,8],[2,9],[3,10],[4],[5],[6],[7]]                           => 7
[[1,8,10],[2,9],[3],[4],[5],[6],[7]]                           => 16
[[1,7],[2,8],[3,9],[4,10],[5],[6]]                             => 6
[[1,7,10],[2,8],[3,9],[4],[5],[6]]                             => 15
[[1,7,9],[2,8,10],[3],[4],[5],[6]]                             => 14
[[1,7,9,10],[2,8],[3],[4],[5],[6]]                             => 14
[[1,6],[2,7],[3,8],[4,9],[5,10]]                               => 5
[[1,6,10],[2,7],[3,8],[4,9],[5]]                               => 14
[[1,6,9],[2,7,10],[3,8],[4],[5]]                               => 13
[[1,6,9,10],[2,7],[3,8],[4],[5]]                               => 13
[[1,6,8,10],[2,7,9],[3],[4],[5]]                               => 21
[[1,6,8,9,10],[2,7],[3],[4],[5]]                               => 12
[[1,5,9],[2,6,10],[3,7],[4,8]]                                 => 12
[[1,5,9,10],[2,6],[3,7],[4,8]]                                 => 12
[[1,5,8],[2,6,9],[3,7,10],[4]]                                 => 11
[[1,5,8,10],[2,6,9],[3,7],[4]]                                 => 20
[[1,5,8,9,10],[2,6],[3,7],[4]]                                 => 11
[[1,5,7,9],[2,6,8,10],[3],[4]]                                 => 18
[[1,5,7,9,10],[2,6,8],[3],[4]]                                 => 18
[[1,5,7,8,9,10],[2,6],[3],[4]]                                 => 10
[[1,4,7,10],[2,5,8],[3,6,9]]                                   => 18
[[1,4,7,9],[2,5,8,10],[3,6]]                                   => 17
[[1,4,7,9,10],[2,5,8],[3,6]]                                   => 17
[[1,4,7,8,9,10],[2,5],[3,6]]                                   => 9
[[1,4,6,8,10],[2,5,7,9],[3]]                                   => 24
[[1,4,6,8,9,10],[2,5,7],[3]]                                   => 15
[[1,4,6,7,8,9,10],[2,5],[3]]                                   => 8
[[1,3,5,7,9,10],[2,4,6,8]]                                     => 20
[[1,3,5,7,8,9,10],[2,4,6]]                                     => 12
[[1,3,5,6,7,8,9,10],[2,4]]                                     => 6
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]                         => 2
[[1,4],[2,5],[3,6],[7],[8],[9],[10]]                           => 3
[[1,2,4],[3,5],[6],[7],[8],[9],[10]]                           => 3
[[1,5],[2,6],[3,7],[4,8],[9],[10]]                             => 4
[[1,2,5],[3,6],[4,7],[8],[9],[10]]                             => 4
[[1,3,5],[2,4,6],[7],[8],[9],[10]]                             => 6
[[1,2,3,5],[4,6],[7],[8],[9],[10]]                             => 4
[[1,2,6],[3,7],[4,8],[5,9],[10]]                               => 5
[[1,3,6],[2,4,7],[5,8],[9],[10]]                               => 7
[[1,2,3,6],[4,7],[5,8],[9],[10]]                               => 5
[[1,2,4,6],[3,5,7],[8],[9],[10]]                               => 8
[[1,2,3,4,6],[5,7],[8],[9],[10]]                               => 5
[[1,3,7],[2,4,8],[5,9],[6,10]]                                 => 8
[[1,2,3,7],[4,8],[5,9],[6,10]]                                 => 6
[[1,4,7],[2,5,8],[3,6,9],[10]]                                 => 9
[[1,2,4,7],[3,5,8],[6,9],[10]]                                 => 9
[[1,2,3,4,7],[5,8],[6,9],[10]]                                 => 6
[[1,3,5,7],[2,4,6,8],[9],[10]]                                 => 12
[[1,2,3,5,7],[4,6,8],[9],[10]]                                 => 10
[[1,2,3,4,5,7],[6,8],[9],[10]]                                 => 6
[[1,2,5,8],[3,6,9],[4,7,10]]                                   => 11
[[1,3,5,8],[2,4,6,9],[7,10]]                                   => 13
[[1,2,3,5,8],[4,6,9],[7,10]]                                   => 11
[[1,2,3,4,5,8],[6,9],[7,10]]                                   => 7
[[1,2,4,6,8],[3,5,7,9],[10]]                                   => 15
[[1,2,3,4,6,8],[5,7,9],[10]]                                   => 12
[[1,2,3,4,5,6,8],[7,9],[10]]                                   => 7
[[1,2,3,5,7,9],[4,6,8,10]]                                     => 18
[[1,2,3,4,5,7,9],[6,8,10]]                                     => 14
[[1,2,3,4,5,6,7,9],[8,10]]                                     => 8
[[1,2],[3,4],[5,6],[7,9],[8,10]]                               => 8
[[1,2],[3,4],[5,7],[6,8],[9,10]]                               => 6
[[1,2],[3,4],[5,7],[6,9],[8,10]]                               => 14
[[1,2],[3,4],[5,8],[6,9],[7,10]]                               => 7
[[1,2],[3,5],[4,6],[7,8],[9,10]]                               => 4
[[1,2],[3,5],[4,6],[7,9],[8,10]]                               => 12
[[1,2],[3,5],[4,7],[6,8],[9,10]]                               => 10
[[1,2],[3,5],[4,7],[6,9],[8,10]]                               => 18
[[1,2],[3,5],[4,8],[6,9],[7,10]]                               => 11
[[1,2],[3,6],[4,7],[5,8],[9,10]]                               => 5
[[1,2],[3,6],[4,7],[5,9],[8,10]]                               => 13
[[1,2],[3,6],[4,8],[5,9],[7,10]]                               => 12
[[1,2],[3,7],[4,8],[5,9],[6,10]]                               => 6
[[1,3],[2,4],[5,6],[7,8],[9,10]]                               => 2
[[1,3],[2,4],[5,6],[7,9],[8,10]]                               => 10
[[1,3],[2,4],[5,7],[6,8],[9,10]]                               => 8
[[1,3],[2,4],[5,7],[6,9],[8,10]]                               => 16
[[1,3],[2,4],[5,8],[6,9],[7,10]]                               => 9
[[1,3],[2,5],[4,6],[7,8],[9,10]]                               => 6
[[1,3],[2,5],[4,6],[7,9],[8,10]]                               => 14
[[1,3],[2,5],[4,7],[6,8],[9,10]]                               => 12
[[1,3],[2,5],[4,7],[6,9],[8,10]]                               => 20
[[1,3],[2,5],[4,8],[6,9],[7,10]]                               => 13
[[1,3],[2,6],[4,7],[5,8],[9,10]]                               => 7
[[1,3],[2,6],[4,7],[5,9],[8,10]]                               => 15
[[1,3],[2,6],[4,8],[5,9],[7,10]]                               => 14
[[1,3],[2,7],[4,8],[5,9],[6,10]]                               => 8
[[1,4],[2,5],[3,6],[7,8],[9,10]]                               => 3
[[1,4],[2,5],[3,6],[7,9],[8,10]]                               => 11
[[1,4],[2,5],[3,7],[6,8],[9,10]]                               => 9
[[1,4],[2,5],[3,7],[6,9],[8,10]]                               => 17
[[1,4],[2,5],[3,8],[6,9],[7,10]]                               => 10
[[1,4],[2,6],[3,7],[5,8],[9,10]]                               => 8
[[1,4],[2,6],[3,7],[5,9],[8,10]]                               => 16
[[1,4],[2,6],[3,8],[5,9],[7,10]]                               => 15
[[1,4],[2,7],[3,8],[5,9],[6,10]]                               => 9
[[1,5],[2,6],[3,7],[4,8],[9,10]]                               => 4
[[1,5],[2,6],[3,7],[4,9],[8,10]]                               => 12
[[1,5],[2,6],[3,8],[4,9],[7,10]]                               => 11
[[1,5],[2,7],[3,8],[4,9],[6,10]]                               => 10
[[1,2,3,4,5,6,7,8,10],[9]]                                     => 9
[[1,2,3,4,5,6,7,10],[8,9]]                                     => 9
[[1,2,3,4,5,6,7,10],[8],[9]]                                   => 9
[[1,2,3,4,5,6,10],[7,8,9]]                                     => 9
[[1,2,3,4,5,6,10],[7,8],[9]]                                   => 9
[[1,2,3,4,5,6,10],[7],[8],[9]]                                 => 9
[[1,2,3,4,5,10],[6,7,8,9]]                                     => 9
[[1,2,3,4,5,10],[6,7,8],[9]]                                   => 9
[[1,2,3,4,5,10],[6,7],[8,9]]                                   => 9
[[1,2,3,4,5,10],[6,7],[8],[9]]                                 => 9
[[1,2,3,4,5,10],[6],[7],[8],[9]]                               => 9
[[1,2,3,4,10],[5,6,7,8],[9]]                                   => 9
[[1,2,3,4,10],[5,6,7],[8,9]]                                   => 9
[[1,2,3,4,10],[5,6,7],[8],[9]]                                 => 9
[[1,2,3,4,10],[5,6],[7,8],[9]]                                 => 9
[[1,2,3,4,10],[5,6],[7],[8],[9]]                               => 9
[[1,2,3,4,10],[5],[6],[7],[8],[9]]                             => 9
[[1,2,3,7],[4,5,6,10],[8,9]]                                   => 15
[[1,2,3,7],[4,5,6,10],[8],[9]]                                 => 15
[[1,2,3,10],[4,5,6],[7,8],[9]]                                 => 9
[[1,2,3,10],[4,5,6],[7],[8],[9]]                               => 9
[[1,2,3,10],[4,5],[6,7],[8,9]]                                 => 9
[[1,2,3,10],[4,5],[6,7],[8],[9]]                               => 9
[[1,2,3,10],[4,5],[6],[7],[8],[9]]                             => 9
[[1,2,3,10],[4],[5],[6],[7],[8],[9]]                           => 9
[[1,2,5],[3,4,8],[6,7,10],[9]]                                 => 20
[[1,2,5],[3,4,10],[6,7],[8,9]]                                 => 13
[[1,2,5],[3,4,10],[6,7],[8],[9]]                               => 13
[[1,2,5],[3,4,10],[6],[7],[8],[9]]                             => 13
[[1,2,10],[3,4],[5,6],[7,8],[9]]                               => 9
[[1,2,10],[3,4],[5,6],[7],[8],[9]]                             => 9
[[1,2,10],[3,4],[5],[6],[7],[8],[9]]                           => 9
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]                         => 9
[[1,3],[2,5],[4,7],[6,10],[8],[9]]                             => 21
[[1,3],[2,5],[4,10],[6],[7],[8],[9]]                           => 15
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]                         => 11
[[1,2,4,5,6,7,8,9,10],[3]]                                     => 3
[[1,3],[2,5],[4,7],[6,9],[8],[10]]                             => 20
[[1,5],[2,7],[3,9],[4],[6],[8],[10]]                           => 18
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]                         => 14
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]                       => 8
[[1,3,4,5,6,7,8,9],[2,10]]                                     => 2
[[1,3,4,5,6,7,8,9],[2],[10]]                                   => 2
[[1,3,4,5,6,7,8],[2,9,10]]                                     => 2
[[1,3,4,5,6,7,8],[2,10],[9]]                                   => 11
[[1,3,4,5,6,7,8],[2],[9],[10]]                                 => 2
[[1,3,4,5,6,7],[2,8,9,10]]                                     => 2
[[1,3,4,5,6,7],[2,9,10],[8]]                                   => 10
[[1,3,4,5,6,7],[2,9],[8,10]]                                   => 10
[[1,3,4,5,6,7],[2,9],[8],[10]]                                 => 10
[[1,3,4,5,6,7],[2],[8],[9],[10]]                               => 2
[[1,3,4,5,6],[2,8,9,10],[7]]                                   => 9
[[1,3,4,5,6],[2,8,9],[7,10]]                                   => 9
[[1,3,4,5,6],[2,8,9],[7],[10]]                                 => 9
[[1,3,4,5,6],[2,8],[7,10],[9]]                                 => 18
[[1,3,4,5,6],[2,8],[7],[9],[10]]                               => 9
[[1,3,4,5,6],[2],[7],[8],[9],[10]]                             => 2
[[1,3,4,5],[2,7,8,9],[6,10]]                                   => 8
[[1,3,4,5],[2,7,8,9],[6],[10]]                                 => 8
[[1,3,4,5],[2,7,8],[6,9,10]]                                   => 8
[[1,3,4,5],[2,7,8],[6,10],[9]]                                 => 17
[[1,3,4,5],[2,7,8],[6],[9],[10]]                               => 8
[[1,3,4,5],[2,7],[6,9],[8,10]]                                 => 16
[[1,3,4,5],[2,7],[6,9],[8],[10]]                               => 16
[[1,3,4,5],[2,7],[6],[8],[9],[10]]                             => 8
[[1,3,4,5],[2],[6],[7],[8],[9],[10]]                           => 2
[[1,3,4],[2,6,7],[5,9],[8,10]]                                 => 15
[[1,3,4],[2,6,7],[5,9],[8],[10]]                               => 15
[[1,3,4],[2,6,7],[5],[8],[9],[10]]                             => 7
[[1,3,4],[2,6],[5,8],[7,10],[9]]                               => 23
[[1,3,4],[2,6],[5,8],[7],[9],[10]]                             => 14
[[1,3,4],[2,6],[5],[7],[8],[9],[10]]                           => 7
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]                         => 2
[[1,3],[2,5],[4,7],[6],[8],[9],[10]]                           => 12
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]                         => 6
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]                       => 2
[[1,2,4,6,8,10],[3,5,7,9]]                                     => 24
[[1,2,4,6,8,9,10],[3,5,7]]                                     => 15
[[1,2,4,6,7,8,10],[3,5,9]]                                     => 17
[[1,2,4,6,7,9,10],[3,5,8]]                                     => 16
[[1,2,4,6,7,8,9,10],[3,5]]                                     => 8
[[1,2,4,5,6,8,10],[3,7,9]]                                     => 19
[[1,2,4,5,6,9,10],[3,7,8]]                                     => 11
[[1,2,4,5,7,8,10],[3,6,9]]                                     => 18
[[1,2,4,5,7,9,10],[3,6,8]]                                     => 17
[[1,2,4,5,7,8,9,10],[3,6]]                                     => 9
[[1,2,4,5,6,7,8,10],[3,9]]                                     => 12
[[1,2,4,5,6,7,9,10],[3,8]]                                     => 11
[[1,2,4,5,6,8,9,10],[3,7]]                                     => 10
[[1,2,3,4,6,8,10],[5,7,9]]                                     => 21
[[1,2,3,4,6,9,10],[5,7,8]]                                     => 13
[[1,2,3,4,7,8,10],[5,6,9]]                                     => 15
[[1,2,3,4,7,9,10],[5,6,8]]                                     => 14
[[1,2,3,4,7,8,9,10],[5,6]]                                     => 6
[[1,2,3,5,6,8,10],[4,7,9]]                                     => 20
[[1,2,3,5,6,9,10],[4,7,8]]                                     => 12
[[1,2,3,5,7,8,10],[4,6,9]]                                     => 19
[[1,2,3,5,7,9,10],[4,6,8]]                                     => 18
[[1,2,3,5,7,8,9,10],[4,6]]                                     => 10
[[1,2,3,5,6,7,8,10],[4,9]]                                     => 13
[[1,2,3,5,6,7,9,10],[4,8]]                                     => 12
[[1,2,3,5,6,8,9,10],[4,7]]                                     => 11
[[1,2,3,5,6,7,8,9,10],[4]]                                     => 4
[[1,2,3,4,5,6,8,10],[7,9]]                                     => 16
[[1,2,3,4,5,6,9,10],[7,8]]                                     => 8
[[1,2,3,4,5,7,8,10],[6,9]]                                     => 15
[[1,2,3,4,5,7,9,10],[6,8]]                                     => 14
[[1,2,3,4,5,8,9,10],[6,7]]                                     => 7
[[1,2,3,4,6,7,8,10],[5,9]]                                     => 14
[[1,2,3,4,6,7,9,10],[5,8]]                                     => 13
[[1,2,3,4,6,8,9,10],[5,7]]                                     => 12
[[1,2,3,4,6,7,8,9,10],[5]]                                     => 5
[[1,2,3,4,5,6,7,9,10],[8]]                                     => 8
[[1,2,3,4,5,6,8,9,10],[7]]                                     => 7
[[1,2,3,4,5,7,8,9,10],[6]]                                     => 6
[[1,2,5,6,7,8,9],[3,4,10]]                                     => 4
[[1,2,5,6,7,8,9],[3,4],[10]]                                   => 4
[[1,4,5,6,7,8,9],[2],[3],[10]]                                 => 3
[[1,2,3,7,8,9],[4,5,6,10]]                                     => 6
[[1,2,3,7,8,9],[4,5,6],[10]]                                   => 6
[[1,3,6,7,8,9],[2,5],[4,10]]                                   => 11
[[1,3,6,7,8,9],[2,5],[4],[10]]                                 => 11
[[1,5,6,7,8,9],[2],[3],[4],[10]]                               => 4
[[1,2,3,4,9],[5,6,7,8],[10]]                                   => 8
[[1,3,4,8,9],[2,6,7],[5,10]]                                   => 14
[[1,3,4,8,9],[2,6,7],[5],[10]]                                 => 14
[[1,2,7,8,9],[3,4],[5,6],[10]]                                 => 6
[[1,4,7,8,9],[2,6],[3],[5],[10]]                               => 14
[[1,6,7,8,9],[2],[3],[4],[5],[10]]                             => 5
[[1,2,5,9],[3,4,8],[6,7,10]]                                   => 19
[[1,2,5,9],[3,4,8],[6,7],[10]]                                 => 19
[[1,4,5,9],[2,7,8],[3],[6],[10]]                               => 17
[[1,3,8,9],[2,5],[4,7],[6,10]]                                 => 19
[[1,3,8,9],[2,5],[4,7],[6],[10]]                               => 19
[[1,5,8,9],[2,7],[3],[4],[6],[10]]                             => 17
[[1,7,8,9],[2],[3],[4],[5],[6],[10]]                           => 6
[[1,3,6],[2,5,9],[4,8],[7,10]]                                 => 26
[[1,3,6],[2,5,9],[4,8],[7],[10]]                               => 26
[[1,5,6],[2,8,9],[3],[4],[7],[10]]                             => 11
[[1,2,9],[3,4],[5,6],[7,8],[10]]                               => 8
[[1,4,9],[2,6],[3,8],[5],[7],[10]]                             => 23
[[1,6,9],[2,8],[3],[4],[5],[7],[10]]                           => 20
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]                         => 7
[[1,2,3,6,7,8,9,10],[4,5]]                                     => 5
[[1,2,5,6,7,8,9,10],[3],[4]]                                   => 4
[[1,2,3,4,8,9,10],[5,6,7]]                                     => 7
[[1,2,4,7,8,9,10],[3,6],[5]]                                   => 14
[[1,2,6,7,8,9,10],[3],[4],[5]]                                 => 5
[[1,2,4,5,9,10],[3,7,8],[6]]                                   => 17
[[1,2,3,8,9,10],[4,5],[6,7]]                                   => 7
[[1,2,5,8,9,10],[3,7],[4],[6]]                                 => 17
[[1,2,7,8,9,10],[3],[4],[5],[6]]                               => 6
[[1,2,4,5,6],[3,8,9,10],[7]]                                   => 10
[[1,2,3,6,10],[4,5,9],[7,8]]                                   => 22
[[1,2,5,6,10],[3,8,9],[4],[7]]                                 => 20
[[1,2,4,9,10],[3,6],[5,8],[7]]                                 => 23
[[1,2,6,9,10],[3,8],[4],[5],[7]]                               => 20
[[1,2,8,9,10],[3],[4],[5],[6],[7]]                             => 7
[[1,2,6,7],[3,5,9,10],[4],[8]]                                 => 17
[[1,2,4,7],[3,6,10],[5,9],[8]]                                 => 31
[[1,2,6,7],[3,9,10],[4],[5],[8]]                               => 13
[[1,2,5,10],[3,7],[4,9],[6],[8]]                               => 27
[[1,2,7,10],[3,9],[4],[5],[6],[8]]                             => 23
[[1,2,9,10],[3],[4],[5],[6],[7],[8]]                           => 8
[[1,2,3],[4,5,8],[6,7],[9,10]]                                 => 7
[[1,2,5],[3,7,8],[4,10],[6],[9]]                               => 19
[[1,2,8],[3,7,10],[4],[5],[6],[9]]                             => 22
[[1,2,4],[3,6],[5,8],[7,10],[9]]                               => 24
[[1,2,6],[3,8],[4,10],[5],[7],[9]]                             => 21
[[1,2,8],[3,10],[4],[5],[6],[7],[9]]                           => 16
[[1,2],[3,5],[4,7],[6,9],[8],[10]]                             => 18
[[1,2],[3,7],[4,9],[5],[6],[8],[10]]                           => 14
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]]                         => 8
[[1,2,4,5,8,9,10],[3,7],[6]]                                   => 16
[[1,2,4,5,6,7],[3,9,10],[8]]                                   => 11
[[1,2,3,4,9,10],[5,6],[7,8]]                                   => 8
[[1,2,5,6,9,10],[3,8],[4],[7]]                                 => 19
[[1,2,4,5,6,7,8,9],[3],[10]]                                   => 3
[[1,2,3,4,7,8],[5,6],[9,10]]                                   => 6
[[1,2,5,6,7,8],[3,10],[4],[9]]                                 => 13
[[1,2,4,5,10],[3,7],[6,9],[8]]                                 => 26
[[1,2,6,7,10],[3,9],[4],[5],[8]]                               => 22
[[1,2,4,5,8,9],[3,7],[6],[10]]                                 => 16
[[1,2,6,7,8,9],[3],[4],[5],[10]]                               => 5
[[1,2,5,6],[3,8],[4,10],[7],[9]]                               => 20
[[1,2,7,8],[3,10],[4],[5],[6],[9]]                             => 15
[[1,2,4,5],[3,7],[6,9],[8],[10]]                               => 17
[[1,2,6,7],[3,9],[4],[5],[8],[10]]                             => 13
[[1,2,8,9],[3],[4],[5],[6],[7],[10]]                           => 7
[[1,2,3,4,5],[6,7,8,9],[10,11]]                                => 0
[[1,2,3,4,5],[6,7,8,9],[10],[11]]                              => 0
[[1,2,3,4,5],[6,7,8],[9,10,11]]                                => 0
[[1,2,3,4,5],[6,7,8],[9,10],[11]]                              => 0
[[1,2,3,4,5],[6,7,8],[9],[10],[11]]                            => 0
[[1,2,3,4,5],[6,7],[8,9],[10,11]]                              => 0
[[1,2,3,4,5],[6,7],[8,9],[10],[11]]                            => 0
[[1,2,3,4],[5,6,7,8],[9,10,11]]                                => 0
[[1,2,3,4],[5,6,7,8],[9,10],[11]]                              => 0
[[1,2,3,4],[5,6,7,8],[9],[10],[11]]                            => 0
[[1,2,3,4],[5,6,7],[8,9,10],[11]]                              => 0
[[1,2,3,4],[5,6,7],[8,9],[10,11]]                              => 0
[[1,2,3,4],[5,6,7],[8,9],[10],[11]]                            => 0
[[1,2,3,4],[5,6],[7,8],[9,10],[11]]                            => 0
[[1,2,3],[4,5,6],[7,8,9],[10,11]]                              => 0
[[1,2,3],[4,5,6],[7,8,9],[10],[11]]                            => 0
[[1,2,3],[4,5,6],[7,8],[9,10],[11]]                            => 0
[[1,2,5,6,11],[3,4,9,10],[7,8]]                                => 22
[[1,4,5,6,11],[2,8,9,10],[3],[7]]                              => 20
[[1,2,3,10,11],[4,5,6],[7,8,9]]                                => 9
[[1,3,6,10,11],[2,5,9],[4,8],[7]]                              => 35
[[1,5,6,10,11],[2,8,9],[3],[4],[7]]                            => 20
[[1,2,9,10,11],[3,4],[5,6],[7,8]]                              => 8
[[1,4,9,10,11],[2,6],[3,8],[5],[7]]                            => 23
[[1,2,3,7],[4,5,6,11],[8,9,10]]                                => 16
[[1,3,6,7],[2,5,10,11],[4,9],[8]]                              => 28
[[1,5,6,7],[2,9,10,11],[3],[4],[8]]                            => 12
[[1,3,4,11],[2,6,7],[5,9,10],[8]]                              => 25
[[1,2,7,11],[3,4,10],[5,6],[8,9]]                              => 25
[[1,4,7,11],[2,6,10],[3,9],[5],[8]]                            => 41
[[1,3,10,11],[2,5],[4,7],[6,9],[8]]                            => 29
[[1,2,5],[3,4,8],[6,7,11],[9,10]]                              => 21
[[1,4,5],[2,7,8],[3,10,11],[6],[9]]                            => 18
[[1,3,8],[2,5,11],[4,7],[6,10],[9]]                            => 38
[[1,3,5,7,9,11],[2,4,6,8,10,12]]                               => 30
[[1,3,5,7,9,10],[2,4,6,8,11,12]]                               => 20
[[1,3,5,7,8,11],[2,4,6,9,10,12]]                               => 22
[[1,3,5,7,8,10],[2,4,6,9,11,12]]                               => 21
[[1,3,5,7,8,9],[2,4,6,10,11,12]]                               => 12
[[1,3,5,6,9,11],[2,4,7,8,10,12]]                               => 24
[[1,3,5,6,9,10],[2,4,7,8,11,12]]                               => 14
[[1,3,5,6,8,11],[2,4,7,9,10,12]]                               => 23
[[1,3,5,6,8,10],[2,4,7,9,11,12]]                               => 22
[[1,3,5,6,8,9],[2,4,7,10,11,12]]                               => 13
[[1,3,5,6,7,11],[2,4,8,9,10,12]]                               => 16
[[1,3,5,6,7,10],[2,4,8,9,11,12]]                               => 15
[[1,3,5,6,7,9],[2,4,8,10,11,12]]                               => 14
[[1,3,5,6,7,8],[2,4,9,10,11,12]]                               => 6
[[1,3,4,7,9,11],[2,5,6,8,10,12]]                               => 26
[[1,3,4,7,9,10],[2,5,6,8,11,12]]                               => 16
[[1,3,4,7,8,11],[2,5,6,9,10,12]]                               => 18
[[1,3,4,7,8,10],[2,5,6,9,11,12]]                               => 17
[[1,3,4,7,8,9],[2,5,6,10,11,12]]                               => 8
[[1,3,4,6,9,11],[2,5,7,8,10,12]]                               => 25
[[1,3,4,6,9,10],[2,5,7,8,11,12]]                               => 15
[[1,3,4,6,8,11],[2,5,7,9,10,12]]                               => 24
[[1,3,4,6,8,10],[2,5,7,9,11,12]]                               => 23
[[1,3,4,6,8,9],[2,5,7,10,11,12]]                               => 14
[[1,3,4,6,7,11],[2,5,8,9,10,12]]                               => 17
[[1,3,4,6,7,10],[2,5,8,9,11,12]]                               => 16
[[1,3,4,6,7,9],[2,5,8,10,11,12]]                               => 15
[[1,3,4,6,7,8],[2,5,9,10,11,12]]                               => 7
[[1,3,4,5,9,11],[2,6,7,8,10,12]]                               => 20
[[1,3,4,5,9,10],[2,6,7,8,11,12]]                               => 10
[[1,3,4,5,8,11],[2,6,7,9,10,12]]                               => 19
[[1,3,4,5,8,10],[2,6,7,9,11,12]]                               => 18
[[1,3,4,5,8,9],[2,6,7,10,11,12]]                               => 9
[[1,3,4,5,7,11],[2,6,8,9,10,12]]                               => 18
[[1,3,4,5,7,10],[2,6,8,9,11,12]]                               => 17
[[1,3,4,5,7,9],[2,6,8,10,11,12]]                               => 16
[[1,3,4,5,7,8],[2,6,9,10,11,12]]                               => 8
[[1,3,4,5,6,11],[2,7,8,9,10,12]]                               => 12
[[1,3,4,5,6,10],[2,7,8,9,11,12]]                               => 11
[[1,3,4,5,6,9],[2,7,8,10,11,12]]                               => 10
[[1,3,4,5,6,8],[2,7,9,10,11,12]]                               => 9
[[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]]                               => 28
[[1,2,5,7,9,10],[3,4,6,8,11,12]]                               => 18
[[1,2,5,7,8,11],[3,4,6,9,10,12]]                               => 20
[[1,2,5,7,8,10],[3,4,6,9,11,12]]                               => 19
[[1,2,5,7,8,9],[3,4,6,10,11,12]]                               => 10
[[1,2,5,6,9,11],[3,4,7,8,10,12]]                               => 22
[[1,2,5,6,9,10],[3,4,7,8,11,12]]                               => 12
[[1,2,5,6,8,11],[3,4,7,9,10,12]]                               => 21
[[1,2,5,6,8,10],[3,4,7,9,11,12]]                               => 20
[[1,2,5,6,8,9],[3,4,7,10,11,12]]                               => 11
[[1,2,5,6,7,11],[3,4,8,9,10,12]]                               => 14
[[1,2,5,6,7,10],[3,4,8,9,11,12]]                               => 13
[[1,2,5,6,7,9],[3,4,8,10,11,12]]                               => 12
[[1,2,5,6,7,8],[3,4,9,10,11,12]]                               => 4
[[1,2,4,7,9,11],[3,5,6,8,10,12]]                               => 27
[[1,2,4,7,9,10],[3,5,6,8,11,12]]                               => 17
[[1,2,4,7,8,11],[3,5,6,9,10,12]]                               => 19
[[1,2,4,7,8,10],[3,5,6,9,11,12]]                               => 18
[[1,2,4,7,8,9],[3,5,6,10,11,12]]                               => 9
[[1,2,4,6,9,11],[3,5,7,8,10,12]]                               => 26
[[1,2,4,6,9,10],[3,5,7,8,11,12]]                               => 16
[[1,2,4,6,8,11],[3,5,7,9,10,12]]                               => 25
[[1,2,4,6,8,10],[3,5,7,9,11,12]]                               => 24
[[1,2,4,6,8,9],[3,5,7,10,11,12]]                               => 15
[[1,2,4,6,7,11],[3,5,8,9,10,12]]                               => 18
[[1,2,4,6,7,10],[3,5,8,9,11,12]]                               => 17
[[1,2,4,6,7,9],[3,5,8,10,11,12]]                               => 16
[[1,2,4,6,7,8],[3,5,9,10,11,12]]                               => 8
[[1,2,4,5,9,11],[3,6,7,8,10,12]]                               => 21
[[1,2,4,5,9,10],[3,6,7,8,11,12]]                               => 11
[[1,2,4,5,8,11],[3,6,7,9,10,12]]                               => 20
[[1,2,4,5,8,10],[3,6,7,9,11,12]]                               => 19
[[1,2,4,5,8,9],[3,6,7,10,11,12]]                               => 10
[[1,2,4,5,7,11],[3,6,8,9,10,12]]                               => 19
[[1,2,4,5,7,10],[3,6,8,9,11,12]]                               => 18
[[1,2,4,5,7,9],[3,6,8,10,11,12]]                               => 17
[[1,2,4,5,7,8],[3,6,9,10,11,12]]                               => 9
[[1,2,4,5,6,11],[3,7,8,9,10,12]]                               => 13
[[1,2,4,5,6,10],[3,7,8,9,11,12]]                               => 12
[[1,2,4,5,6,9],[3,7,8,10,11,12]]                               => 11
[[1,2,4,5,6,8],[3,7,9,10,11,12]]                               => 10
[[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]]                               => 24
[[1,2,3,7,9,10],[4,5,6,8,11,12]]                               => 14
[[1,2,3,7,8,11],[4,5,6,9,10,12]]                               => 16
[[1,2,3,7,8,10],[4,5,6,9,11,12]]                               => 15
[[1,2,3,7,8,9],[4,5,6,10,11,12]]                               => 6
[[1,2,3,6,9,11],[4,5,7,8,10,12]]                               => 23
[[1,2,3,6,9,10],[4,5,7,8,11,12]]                               => 13
[[1,2,3,6,8,11],[4,5,7,9,10,12]]                               => 22
[[1,2,3,6,8,10],[4,5,7,9,11,12]]                               => 21
[[1,2,3,6,8,9],[4,5,7,10,11,12]]                               => 12
[[1,2,3,6,7,11],[4,5,8,9,10,12]]                               => 15
[[1,2,3,6,7,10],[4,5,8,9,11,12]]                               => 14
[[1,2,3,6,7,9],[4,5,8,10,11,12]]                               => 13
[[1,2,3,6,7,8],[4,5,9,10,11,12]]                               => 5
[[1,2,3,5,9,11],[4,6,7,8,10,12]]                               => 22
[[1,2,3,5,9,10],[4,6,7,8,11,12]]                               => 12
[[1,2,3,5,8,11],[4,6,7,9,10,12]]                               => 21
[[1,2,3,5,8,10],[4,6,7,9,11,12]]                               => 20
[[1,2,3,5,8,9],[4,6,7,10,11,12]]                               => 11
[[1,2,3,5,7,11],[4,6,8,9,10,12]]                               => 20
[[1,2,3,5,7,10],[4,6,8,9,11,12]]                               => 19
[[1,2,3,5,7,9],[4,6,8,10,11,12]]                               => 18
[[1,2,3,5,7,8],[4,6,9,10,11,12]]                               => 10
[[1,2,3,5,6,11],[4,7,8,9,10,12]]                               => 14
[[1,2,3,5,6,10],[4,7,8,9,11,12]]                               => 13
[[1,2,3,5,6,9],[4,7,8,10,11,12]]                               => 12
[[1,2,3,5,6,8],[4,7,9,10,11,12]]                               => 11
[[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]]                               => 18
[[1,2,3,4,9,10],[5,6,7,8,11,12]]                               => 8
[[1,2,3,4,8,11],[5,6,7,9,10,12]]                               => 17
[[1,2,3,4,8,10],[5,6,7,9,11,12]]                               => 16
[[1,2,3,4,8,9],[5,6,7,10,11,12]]                               => 7
[[1,2,3,4,7,11],[5,6,8,9,10,12]]                               => 16
[[1,2,3,4,7,10],[5,6,8,9,11,12]]                               => 15
[[1,2,3,4,7,9],[5,6,8,10,11,12]]                               => 14
[[1,2,3,4,7,8],[5,6,9,10,11,12]]                               => 6
[[1,2,3,4,6,11],[5,7,8,9,10,12]]                               => 15
[[1,2,3,4,6,10],[5,7,8,9,11,12]]                               => 14
[[1,2,3,4,6,9],[5,7,8,10,11,12]]                               => 13
[[1,2,3,4,6,8],[5,7,9,10,11,12]]                               => 12
[[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]]                               => 10
[[1,2,3,4,5,10],[6,7,8,9,11,12]]                               => 9
[[1,2,3,4,5,9],[6,7,8,10,11,12]]                               => 8
[[1,2,3,4,5,8],[6,7,9,10,11,12]]                               => 7
[[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]]                               => 0
[[1,2,3,4,5,6,7,8,9,10,11,12]]                                 => 0
[[1,2,3,4,5,6],[7,8,9,10],[11,12]]                             => 0
[[1,2,3,4,5],[6,7,8,9],[10,11,12]]                             => 0
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]]                           => 0
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]                         => 0
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]]                           => 0
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]]                           => 0
[[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]                         => 0
[[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]                         => 0
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]]                           => 0
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]]                           => 0
[[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]                         => 0
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]                           => 0
[[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]                         => 0
[[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]                         => 0
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]                         => 0
[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]                       => 0
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]                       => 0
[[1,2,5,6,11,12],[3,4,9,10],[7,8]]                             => 22
[[1,2,3,7,12],[4,5,6,11],[8,9,10]]                             => 27
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]]                           => 39
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]                         => 23
[[1,3,4,11,12],[2,6,7],[5,9,10],[8]]                           => 25
[[1,2,7,11,12],[3,4,10],[5,6],[8,9]]                           => 25
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]                         => 41
[[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]                         => 29
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]]                           => 34
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]                           => 16
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]                         => 33
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]                           => 32
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]                         => 29
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]                         => 49
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]                         => 47
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]                       => 44
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]                       => 10
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]                       => 8
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]                       => 18
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]                       => 9
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]                       => 6
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]                       => 16
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]                       => 14
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]                       => 24
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]                       => 15
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]                       => 7
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]                       => 17
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]                       => 16
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]                       => 8
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]                       => 4
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]                       => 14
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]                       => 12
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]                       => 22
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]                       => 13
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]                       => 10
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]                       => 20
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]                       => 18
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]                       => 28
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]                       => 19
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]                       => 11
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]                       => 21
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]                       => 20
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]                       => 12
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]                       => 5
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]                       => 15
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]                       => 13
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]                       => 23
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]                       => 14
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]                       => 12
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]                       => 22
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]                       => 21
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]                       => 13
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]                       => 6
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]                       => 16
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]                       => 15
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]                       => 14
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]                       => 7
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]                       => 2
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]                       => 12
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]                       => 10
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]                       => 20
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]                       => 11
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]                       => 8
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]                       => 18
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]                       => 16
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]                       => 26
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]                       => 17
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]                       => 9
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]                       => 19
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]                       => 18
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]                       => 10
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]                       => 6
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]                       => 16
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]                       => 14
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]                       => 24
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]                       => 15
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]                       => 12
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]                       => 22
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]                       => 20
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]                       => 30
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]                       => 21
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]                       => 13
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]                       => 23
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]                       => 22
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]                       => 14
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]                       => 7
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]                       => 17
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]                       => 15
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]                       => 25
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]                       => 16
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]                       => 14
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]                       => 24
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]                       => 23
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]                       => 15
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]                       => 8
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]                       => 18
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]                       => 17
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]                       => 16
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]                       => 9
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]                       => 3
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]                       => 13
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]                       => 11
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]                       => 21
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]                       => 12
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]                       => 9
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]                       => 19
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]                       => 17
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]                       => 27
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]                       => 18
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]                       => 10
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]                       => 20
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]                       => 19
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]                       => 11
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]                       => 8
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]                       => 18
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]                       => 16
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]                       => 26
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]                       => 17
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]                       => 15
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]                       => 25
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]                       => 24
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]                       => 16
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]                       => 9
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]                       => 19
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]                       => 18
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]                       => 17
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]                       => 10
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]                       => 4
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]                       => 14
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]                       => 12
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]                       => 22
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]                       => 13
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]                       => 11
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]                       => 21
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]                       => 20
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]                       => 12
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]                       => 10
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]                       => 20
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]                       => 19
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]                       => 18
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]                       => 11
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]                       => 5
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]                       => 15
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]                       => 14
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]                       => 13
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]                       => 12
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]                       => 6
[[1,2,4,6,8,10,12],[3,5,7,9,11]]                               => 35
[[1,2,4,6,8,10,11,12],[3,5,7,9]]                               => 24
[[1,2,4,6,8,9,10,12],[3,5,7,11]]                               => 26
[[1,2,4,6,8,9,11,12],[3,5,7,10]]                               => 25
[[1,2,4,6,8,9,10,11,12],[3,5,7]]                               => 15
[[1,2,4,6,7,8,10,12],[3,5,9,11]]                               => 28
[[1,2,4,6,7,8,11,12],[3,5,9,10]]                               => 18
[[1,2,4,6,7,9,10,12],[3,5,8,11]]                               => 27
[[1,2,4,6,7,9,11,12],[3,5,8,10]]                               => 26
[[1,2,4,6,7,9,10,11,12],[3,5,8]]                               => 16
[[1,2,4,6,7,8,9,10,12],[3,5,11]]                               => 19
[[1,2,4,6,7,8,9,11,12],[3,5,10]]                               => 18
[[1,2,4,6,7,8,10,11,12],[3,5,9]]                               => 17
[[1,2,4,6,7,8,9,10,11,12],[3,5]]                               => 8
[[1,2,4,5,6,8,10,12],[3,7,9,11]]                               => 30
[[1,2,4,5,6,8,11,12],[3,7,9,10]]                               => 20
[[1,2,4,5,6,9,10,12],[3,7,8,11]]                               => 22
[[1,2,4,5,6,9,11,12],[3,7,8,10]]                               => 21
[[1,2,4,5,6,9,10,11,12],[3,7,8]]                               => 11
[[1,2,4,5,7,8,10,12],[3,6,9,11]]                               => 29
[[1,2,4,5,7,8,11,12],[3,6,9,10]]                               => 19
[[1,2,4,5,7,9,10,12],[3,6,8,11]]                               => 28
[[1,2,4,5,7,9,11,12],[3,6,8,10]]                               => 27
[[1,2,4,5,7,9,10,11,12],[3,6,8]]                               => 17
[[1,2,4,5,7,8,9,10,12],[3,6,11]]                               => 20
[[1,2,4,5,7,8,9,11,12],[3,6,10]]                               => 19
[[1,2,4,5,7,8,10,11,12],[3,6,9]]                               => 18
[[1,2,4,5,7,8,9,10,11,12],[3,6]]                               => 9
[[1,2,4,5,6,7,8,10,12],[3,9,11]]                               => 23
[[1,2,4,5,6,7,8,11,12],[3,9,10]]                               => 13
[[1,2,4,5,6,7,9,10,12],[3,8,11]]                               => 22
[[1,2,4,5,6,7,9,11,12],[3,8,10]]                               => 21
[[1,2,4,5,6,7,10,11,12],[3,8,9]]                               => 12
[[1,2,4,5,6,8,9,10,12],[3,7,11]]                               => 21
[[1,2,4,5,6,8,9,11,12],[3,7,10]]                               => 20
[[1,2,4,5,6,8,10,11,12],[3,7,9]]                               => 19
[[1,2,4,5,6,8,9,10,11,12],[3,7]]                               => 10
[[1,2,4,5,6,7,8,9,10,12],[3,11]]                               => 14
[[1,2,4,5,6,7,8,9,11,12],[3,10]]                               => 13
[[1,2,4,5,6,7,8,10,11,12],[3,9]]                               => 12
[[1,2,4,5,6,7,9,10,11,12],[3,8]]                               => 11
[[1,2,4,5,6,7,8,9,10,11,12],[3]]                               => 3
[[1,2,3,4,6,8,10,12],[5,7,9,11]]                               => 32
[[1,2,3,4,6,8,11,12],[5,7,9,10]]                               => 22
[[1,2,3,4,6,9,10,12],[5,7,8,11]]                               => 24
[[1,2,3,4,6,9,11,12],[5,7,8,10]]                               => 23
[[1,2,3,4,6,9,10,11,12],[5,7,8]]                               => 13
[[1,2,3,4,7,8,10,12],[5,6,9,11]]                               => 26
[[1,2,3,4,7,8,11,12],[5,6,9,10]]                               => 16
[[1,2,3,4,7,9,10,12],[5,6,8,11]]                               => 25
[[1,2,3,4,7,9,11,12],[5,6,8,10]]                               => 24
[[1,2,3,4,7,9,10,11,12],[5,6,8]]                               => 14
[[1,2,3,4,7,8,9,10,12],[5,6,11]]                               => 17
[[1,2,3,4,7,8,9,11,12],[5,6,10]]                               => 16
[[1,2,3,4,7,8,10,11,12],[5,6,9]]                               => 15
[[1,2,3,4,7,8,9,10,11,12],[5,6]]                               => 6
[[1,2,3,5,6,8,10,12],[4,7,9,11]]                               => 31
[[1,2,3,5,6,8,11,12],[4,7,9,10]]                               => 21
[[1,2,3,5,6,9,10,12],[4,7,8,11]]                               => 23
[[1,2,3,5,6,9,11,12],[4,7,8,10]]                               => 22
[[1,2,3,5,6,9,10,11,12],[4,7,8]]                               => 12
[[1,2,3,5,7,8,10,12],[4,6,9,11]]                               => 30
[[1,2,3,5,7,8,11,12],[4,6,9,10]]                               => 20
[[1,2,3,5,7,9,10,12],[4,6,8,11]]                               => 29
[[1,2,3,5,7,9,11,12],[4,6,8,10]]                               => 28
[[1,2,3,5,7,9,10,11,12],[4,6,8]]                               => 18
[[1,2,3,5,7,8,9,10,12],[4,6,11]]                               => 21
[[1,2,3,5,7,8,9,11,12],[4,6,10]]                               => 20
[[1,2,3,5,7,8,10,11,12],[4,6,9]]                               => 19
[[1,2,3,5,7,8,9,10,11,12],[4,6]]                               => 10
[[1,2,3,5,6,7,8,10,12],[4,9,11]]                               => 24
[[1,2,3,5,6,7,8,11,12],[4,9,10]]                               => 14
[[1,2,3,5,6,7,9,10,12],[4,8,11]]                               => 23
[[1,2,3,5,6,7,9,11,12],[4,8,10]]                               => 22
[[1,2,3,5,6,7,10,11,12],[4,8,9]]                               => 13
[[1,2,3,5,6,8,9,10,12],[4,7,11]]                               => 22
[[1,2,3,5,6,8,9,11,12],[4,7,10]]                               => 21
[[1,2,3,5,6,8,10,11,12],[4,7,9]]                               => 20
[[1,2,3,5,6,8,9,10,11,12],[4,7]]                               => 11
[[1,2,3,5,6,7,8,9,10,12],[4,11]]                               => 15
[[1,2,3,5,6,7,8,9,11,12],[4,10]]                               => 14
[[1,2,3,5,6,7,8,10,11,12],[4,9]]                               => 13
[[1,2,3,5,6,7,9,10,11,12],[4,8]]                               => 12
[[1,2,3,5,6,7,8,9,10,11,12],[4]]                               => 4
[[1,2,3,4,5,6,8,10,12],[7,9,11]]                               => 27
[[1,2,3,4,5,6,8,11,12],[7,9,10]]                               => 17
[[1,2,3,4,5,6,9,10,12],[7,8,11]]                               => 19
[[1,2,3,4,5,6,9,11,12],[7,8,10]]                               => 18
[[1,2,3,4,5,6,10,11,12],[7,8,9]]                               => 9
[[1,2,3,4,5,7,8,10,12],[6,9,11]]                               => 26
[[1,2,3,4,5,7,8,11,12],[6,9,10]]                               => 16
[[1,2,3,4,5,7,9,10,12],[6,8,11]]                               => 25
[[1,2,3,4,5,7,9,11,12],[6,8,10]]                               => 24
[[1,2,3,4,5,7,10,11,12],[6,8,9]]                               => 15
[[1,2,3,4,5,8,9,10,12],[6,7,11]]                               => 18
[[1,2,3,4,5,8,9,11,12],[6,7,10]]                               => 17
[[1,2,3,4,5,8,10,11,12],[6,7,9]]                               => 16
[[1,2,3,4,5,8,9,10,11,12],[6,7]]                               => 7
[[1,2,3,4,6,7,8,10,12],[5,9,11]]                               => 25
[[1,2,3,4,6,7,8,11,12],[5,9,10]]                               => 15
[[1,2,3,4,6,7,9,10,12],[5,8,11]]                               => 24
[[1,2,3,4,6,7,9,11,12],[5,8,10]]                               => 23
[[1,2,3,4,6,7,10,11,12],[5,8,9]]                               => 14
[[1,2,3,4,6,8,9,10,12],[5,7,11]]                               => 23
[[1,2,3,4,6,8,9,11,12],[5,7,10]]                               => 22
[[1,2,3,4,6,8,10,11,12],[5,7,9]]                               => 21
[[1,2,3,4,6,8,9,10,11,12],[5,7]]                               => 12
[[1,2,3,4,6,7,8,9,10,12],[5,11]]                               => 16
[[1,2,3,4,6,7,8,9,11,12],[5,10]]                               => 15
[[1,2,3,4,6,7,8,10,11,12],[5,9]]                               => 14
[[1,2,3,4,6,7,9,10,11,12],[5,8]]                               => 13
[[1,2,3,4,6,7,8,9,10,11,12],[5]]                               => 5
[[1,2,3,4,5,6,7,8,10,12],[9,11]]                               => 20
[[1,2,3,4,5,6,7,8,11,12],[9,10]]                               => 10
[[1,2,3,4,5,6,7,9,10,12],[8,11]]                               => 19
[[1,2,3,4,5,6,7,9,11,12],[8,10]]                               => 18
[[1,2,3,4,5,6,7,10,11,12],[8,9]]                               => 9
[[1,2,3,4,5,6,8,9,10,12],[7,11]]                               => 18
[[1,2,3,4,5,6,8,9,11,12],[7,10]]                               => 17
[[1,2,3,4,5,6,8,10,11,12],[7,9]]                               => 16
[[1,2,3,4,5,6,9,10,11,12],[7,8]]                               => 8
[[1,2,3,4,5,7,8,9,10,12],[6,11]]                               => 17
[[1,2,3,4,5,7,8,9,11,12],[6,10]]                               => 16
[[1,2,3,4,5,7,8,10,11,12],[6,9]]                               => 15
[[1,2,3,4,5,7,9,10,11,12],[6,8]]                               => 14
[[1,2,3,4,5,7,8,9,10,11,12],[6]]                               => 6
[[1,2,3,4,5,6,7,8,9,10,12],[11]]                               => 11
[[1,2,3,4,5,6,7,8,9,11,12],[10]]                               => 10
[[1,2,3,4,5,6,7,8,10,11,12],[9]]                               => 9
[[1,2,3,4,5,6,7,9,10,11,12],[8]]                               => 8
[[1,2,3,4,5,6,8,9,10,11,12],[7]]                               => 7
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]                        => 0
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]                        => 0
[[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]                      => 0
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]                        => 0
[[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]                      => 0
[[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]                      => 0
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]                        => 0
[[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]                      => 0
[[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]                      => 0
[[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]                      => 0
[[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]                        => 46
[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]                        => 28
[[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]                      => 45
[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]                        => 32
[[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]                      => 29
[[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]                      => 49
[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]                        => 42
[[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]                      => 39
[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]                      => 40
[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]                      => 59
[[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]                         => 7
[[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]                         => 17
[[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]                         => 8
[[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]                         => 10
[[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]                         => 19
[[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]                         => 18
[[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]                         => 9
[[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]                         => 13
[[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]                         => 12
[[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]                         => 11
[[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]                         => 10
[[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]]                         => 4
[[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]]                         => 35
[[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]]                         => 24
[[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]]                         => 26
[[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]]                         => 25
[[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]]                         => 15
[[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]]                         => 28
[[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]]                         => 17
[[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]]                         => 27
[[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]]                         => 26
[[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]]                         => 16
[[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]]                         => 19
[[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]]                         => 18
[[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]]                         => 17
[[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]]                         => 8
[[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]]                         => 30
[[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]]                         => 19
[[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]]                         => 21
[[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]]                         => 20
[[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]]                         => 10
[[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]]                         => 29
[[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]]                         => 18
[[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]]                         => 28
[[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]]                         => 27
[[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]]                         => 17
[[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]]                         => 20
[[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]]                         => 19
[[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]]                         => 18
[[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]]                         => 9
[[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]]                         => 23
[[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]]                         => 12
[[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]]                         => 22
[[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]]                         => 21
[[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]]                         => 11
[[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]]                         => 21
[[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]]                         => 20
[[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]]                         => 19
[[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]]                         => 10
[[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]                         => 15
[[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]]                         => 14
[[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]]                         => 13
[[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]]                         => 12
[[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]]                         => 11
[[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]]                         => 3
[[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]]                         => 32
[[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]]                         => 21
[[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]]                         => 23
[[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]]                         => 22
[[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]]                         => 12
[[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]]                         => 25
[[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]]                         => 14
[[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]]                         => 24
[[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]]                         => 23
[[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]]                         => 13
[[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]]                         => 16
[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]]                         => 15
[[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]]                         => 14
[[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]]                         => 5
[[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]]                         => 31
[[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]]                         => 20
[[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]]                         => 22
[[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]]                         => 21
[[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]]                         => 11
[[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]]                         => 30
[[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]]                         => 19
[[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]]                         => 29
[[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]]                         => 28
[[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]]                         => 18
[[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]]                         => 21
[[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]]                         => 20
[[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]]                         => 19
[[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]]                         => 10
[[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]]                         => 24
[[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]]                         => 13
[[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]]                         => 23
[[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]]                         => 22
[[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]]                         => 12
[[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]                         => 23
[[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]]                         => 22
[[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]]                         => 21
[[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]]                         => 20
[[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]]                         => 11
[[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]                         => 16
[[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]]                         => 15
[[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]]                         => 14
[[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]]                         => 13
[[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]]                         => 12
[[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]]                         => 4
[[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]]                         => 27
[[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]]                         => 16
[[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]]                         => 18
[[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]]                         => 17
[[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]]                         => 7
[[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]]                         => 26
[[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]]                         => 15
[[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]]                         => 25
[[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]]                         => 24
[[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]]                         => 14
[[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]                         => 18
[[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]]                         => 17
[[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]]                         => 16
[[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]]                         => 15
[[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]]                         => 6
[[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]]                         => 25
[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]]                         => 14
[[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]                         => 25
[[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]]                         => 24
[[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]]                         => 23
[[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]]                         => 13
[[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]                         => 24
[[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]]                         => 23
[[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]]                         => 22
[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]]                         => 21
[[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]]                         => 12
[[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]                         => 17
[[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]]                         => 16
[[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]]                         => 15
[[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]]                         => 14
[[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]]                         => 13
[[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]]                         => 5
[[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]                         => 10
[[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]                         => 21
[[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]]                         => 20
[[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]]                         => 9
[[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]                         => 20
[[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]]                         => 19
[[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]]                         => 18
[[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]]                         => 8
[[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]                         => 19
[[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]]                         => 18
[[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]]                         => 17
[[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]]                         => 16
[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]]                         => 7
[[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]                         => 18
[[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]]                         => 17
[[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]]                         => 16
[[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]]                         => 15
[[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]]                         => 14
[[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]]                         => 6
[[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]                         => 12
[[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]]                         => 11
[[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]]                         => 10
[[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]]                         => 9
[[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]]                         => 8
[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]]                         => 7
[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]                         => 0
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]                     => 0
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]                   => 0
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]                   => 0
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]                   => 0
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]                   => 0
[[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]                     => 55
[[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]                   => 52
[[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]                   => 53
[[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]                   => 59
[[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]                   => 71
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]                => 0
[[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]                => 85
[[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]                   => 9
[[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]                   => 20
[[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]                   => 10
[[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]                   => 13
[[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]                   => 12
[[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]                   => 11
[[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]]                   => 19
[[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]                   => 28
[[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]                   => 20
[[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]                   => 23
[[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]                   => 22
[[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]                   => 21
[[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]                   => 14
[[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]             => 16
[[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]             => 2
[[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]             => 24
[[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]             => 12
[[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]             => 25
[[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]             => 23
[[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]             => 13
[[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]             => 11
[[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]       => 18
[[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]       => 2
[[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]       => 27
[[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]       => 13
[[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]] => 20
[[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => 2

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Created: Mar 04, 2021 at 08:49 by Martin Rubey

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Last Updated: Mar 10, 2021 at 15:42 by Martin Rubey