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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 parse_digest_challenge(authentication_header):
    '''
    Parses the value of a 'WWW-Authenticate' header. Returns an object with properties
    corresponding to each of the recognized parameters in the header.
    '''
    if not is_digest_challenge(authentication_header):
        return None

    parts = parse_parts(authentication_header[7:], defaults={'algorithm': 'MD5',
                                                             'stale': 'false'})
    if not _check_required_parts(parts, _REQUIRED_DIGEST_CHALLENGE_PARTS):
        return None

    parts['stale'] = parts['stale'].lower() == 'true'

    digest_challenge = _build_object_from_parts(parts, _REQUIRED_DIGEST_CHALLENGE_PARTS)
    if ('MD5', 'auth') != (digest_challenge.algorithm, digest_challenge.qop):
        return None

    return digest_challenge