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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 _check_cygwin_installed(cyg_arch='x86_64'):
    '''
    Return True or False if cygwin is installed.

    Use the cygcheck executable to check install. It is installed as part of
    the base package, and we use it to check packages
    '''
    path_to_cygcheck = os.sep.join(['C:',
                                    _get_cyg_dir(cyg_arch),
                                    'bin', 'cygcheck.exe'])
    LOG.debug('Path to cygcheck.exe: %s', path_to_cygcheck)
    if not os.path.exists(path_to_cygcheck):
        LOG.debug('Could not find cygcheck.exe')
        return False
    return True