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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 rst_to_html(input_string: str) -> str: """ Given a string of RST, use docutils to generate html """


    overrides = dict(input_encoding='unicode', doctitle_xform=True,
                     initial_header_level=1)
    parts = publish_parts(
        writer_name='html',
        source=input_string,
        settings_overrides=overrides
    )
    return parts['html_body']