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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 _run_silent_cygwin(cyg_arch='x86_64',
                       args=None,
                       mirrors=None):
    '''
    Retrieve the correct setup.exe.

    Run it with the correct arguments to get the bare minimum cygwin
    installation up and running.
    '''
    cyg_cache_dir = os.sep.join(['c:', 'cygcache'])
    cyg_setup = 'setup-{0}.exe'.format(cyg_arch)
    cyg_setup_path = os.sep.join([cyg_cache_dir, cyg_setup])
    cyg_setup_source = 'http://cygwin.com/{0}'.format(cyg_setup)
    # cyg_setup_source_hash = 'http://cygwin.com/{0}.sig'.format(cyg_setup)

    # until a hash gets published that we can verify the newest setup against
    # just go ahead and download a new one.
    if not os.path.exists(cyg_cache_dir):
        os.mkdir(cyg_cache_dir)
    elif os.path.exists(cyg_setup_path):
        os.remove(cyg_setup_path)

    file_data = _urlopen(cyg_setup_source)
    with salt.utils.files.fopen(cyg_setup_path, "wb") as fhw:
        fhw.write(file_data.read())

    setup_command = cyg_setup_path
    options = []
    options.append('--local-package-dir {0}'.format(cyg_cache_dir))

    if mirrors is None:
        mirrors = [{DEFAULT_MIRROR: DEFAULT_MIRROR_KEY}]
    for mirror in mirrors:
        for mirror_url, key in mirror.items():
            options.append('--site {0}'.format(mirror_url))
            if key:
                options.append('--pubkey {0}'.format(key))
    options.append('--no-desktop')
    options.append('--quiet-mode')
    options.append('--disable-buggy-antivirus')
    if args is not None:
        for arg in args:
            options.append(arg)

    cmdline_args = ' '.join(options)
    setup_command = ' '.join([cyg_setup_path, cmdline_args])

    ret = __salt__['cmd.run_all'](
        setup_command
    )

    if ret['retcode'] == 0:
        return ret['stdout']
    else:
        return False