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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 _modified_shepp_logan_ellipsoids(ellipsoids):
 """Modify ellipsoids to give the modified Shepp-Logan phantom. Works for both 2d and 3d. """

    intensities = [1.0, -0.8, -0.2, -0.2, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1]

    # Add minimal numbers to ensure that the result is nowhere negative.
    # This is needed due to numerical issues.
    intensities[2] += 5e-17
    intensities[3] += 5e-17

    assert len(ellipsoids) == len(intensities)

    for ellipsoid, intensity in zip(ellipsoids, intensities):
        ellipsoid[0] = intensity