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*    www.FindStat.org - The Combinatorial Statistic Finder             *
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------------------------------------------------------------------------
Map identifier: Mp00226

------------------------------------------------------------------------
Map name: row-to-column-descents

------------------------------------------------------------------------
Domain: Standard tableaux

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

------------------------------------------------------------------------
Description: Return a standard tableau whose column descent set equals the row descent set of the original tableau.

A column descent in a standard tableau is an entry $i$ such that $i+1$ appears in a column to the left of the cell containing $i$, in English notation.

A row descent is an entry $i$ such that $i+1$ appears in a row above of the cell containing $i$.

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

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

def tableau_to_linear_extension(P, T):
    """
    Return the tableau T as a linear extension of the poset
    corresponding to the tableau P as a tableau.

    INPUT:

    - P, the tableau corresponding to the poset
    - T, a tableau corresponding to a linear extension of P
    """
    l = sorted([(e, f)
                for row_T, row_P in zip(T, P)
                for e, f in zip(row_T, row_P)])
    return Permutation([f for _, f in l])

def t_act(P, T, i):
    """
    Return a tableau with the same descent set as T that corresponds
    to a linear extension of the poset corresponding to (i, i+1) P.

    INPUT:

    - P, the tableau corresponding to the poset
    - i, a label such that (i, i+1) P is again a standard labeling.
    - T, the tableau to act on
    """
    P = StandardTableau(P)
    ir, ic = P.cells_containing(i)[0]
    i1r, i1c = P.cells_containing(i+1)[0]
    Q = [[e for e in row] for row in P]
    Q[ir][ic] = i+1
    Q[i1r][i1c] = i
    if not Tableau(Q).is_standard():
        return P, T
    Q = StandardTableau(Q)

    # determine P and Q descents of T
    t_P = tableau_to_linear_extension(P, T)
    t_Q = tableau_to_linear_extension(Q, T)
    if t_P.descents() == t_Q.descents():
        return Q, T

    S = [[e for e in row] for row in T]
    S[ir][ic] = T[i1r][i1c]
    S[i1r][i1c] = T[ir][ic]
    S = StandardTableau(S)
    return Q, S

def natural_tableau(la):
    return StandardTableau([list(range(1+sum(la[:i]), 1+sum(la[:i+1])))
                            for i in range(len(la))])

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

def mapping(T):
    T = StandardTableau(T)
    la = T.shape()
    P = natural_tableau(la)
    while True:
        D = natural_column_descents(P)
        if not D: break
        d = D[0]
        P, T = t_act(P, T, d)
    return T


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

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

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Created: Apr 14, 2021 at 15:53 by Martin Rubey

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Last Updated: Apr 14, 2021 at 15:53 by Martin Rubey