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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _build_discrete_cmap(cmap, levels, extend, filled):
 """ Build a discrete colormap and normalization of the data. """

    import matplotlib as mpl

    if not filled:
        # non-filled contour plots
        extend = 'max'

    if extend == 'both':
        ext_n = 2
    elif extend in ['min', 'max']:
        ext_n = 1
    else:
        ext_n = 0

    n_colors = len(levels) + ext_n - 1
    pal = _color_palette(cmap, n_colors)

    new_cmap, cnorm = mpl.colors.from_levels_and_colors(
        levels, pal, extend=extend)
    # copy the old cmap name, for easier testing
    new_cmap.name = getattr(cmap, 'name', cmap)

    return new_cmap, cnorm