An alien inadmissible under paragraph (4) of section 1182(a) of this title may, if otherwise admissible, be admitted in the discretion of the Attorney General (subject to the affidavit of support requirement and attribution of sponsor's income and resources under section 1183a of this title) upon the giving of a suitable and proper bond or undertaking approved by the Attorney General, in such amount and containing such conditions as he may prescribe, to the United States, and to all States, territories