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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 mg_refractive(m, mix):
 """Maxwell-Garnett EMA for the refractive index. Args: m: Tuple of the complex refractive indices of the media. mix: Tuple of the volume fractions of the media, len(mix)==len(m) (if sum(mix)!=1, these are taken relative to sum(mix)) Returns: The Maxwell-Garnett approximation for the complex refractive index of the effective medium If len(m)==2, the first element is taken as the matrix and the second as the inclusion. If len(m)>2, the media are mixed recursively so that the last element is used as the inclusion and the second to last as the matrix, then this mixture is used as the last element on the next iteration, and so on. """


    if len(m) == 2:
        cF = float(mix[1]) / (mix[0]+mix[1]) * \
            (m[1]**2-m[0]**2) / (m[1]**2+2*m[0]**2)
        er = m[0]**2 * (1.0+2.0*cF) / (1.0-cF)
        m = np.sqrt(er)
    else:
        m_last = mg_refractive(m[-2:], mix[-2:])
        mix_last = mix[-2] + mix[-1]
        m = mg_refractive(m[:-2] + (m_last,), mix[:-2] + (mix_last,))
    return m