def _reorder_for_extension_array_stack(arr, n_rows, n_columns):
    """
    Re-orders the values when stacking multiple extension-arrays.

    The indirect stacking method used for EAs requires a followup
    take to get the order correct.

    Parameters
    ----------
    arr : ExtensionArray
    n_rows, n_columns : int
        The number of rows and columns in the original DataFrame.

    Returns
    -------
    taken : ExtensionArray
        The original `arr` with elements re-ordered appropriately

    Examples
    --------
    >>> arr = np.array(['a', 'b', 'c', 'd', 'e', 'f'])
    >>> _reorder_for_extension_array_stack(arr, 2, 3)
    array(['a', 'c', 'e', 'b', 'd', 'f'], dtype='<U1')

    >>> _reorder_for_extension_array_stack(arr, 3, 2)
    array(['a', 'd', 'b', 'e', 'c', 'f'], dtype='<U1')
    """
    # final take to get the order correct.
    # idx is an indexer like
    # [c0r0, c1r0, c2r0, ...,
    #  c0r1, c1r1, c2r1, ...]
    idx = np.arange(n_rows * n_columns).reshape(n_columns, n_rows).T.ravel()
    return arr.take(idx)