; and (ii) to determine whether there is any criminal, national security, or other factor that would render the alien ineligible for adjustment of status. (B) Completion of background checks The security and law enforcement background checks under subparagraph (A) shall be completed, to the satisfaction of the Secretary, before the date on which Secretary grants adjustment of status. (9) Exemption from numerical limitations Nothing in this subsection or in any other law applies a numerical limitation on the number of aliens who may be eligible for adjustment of status under this subsection. (10) Eligibility for naturalization (A) In general An alien whose status is adjusted under this subsection to that of an alien lawfully admitted for permanent residence may be naturalized in accordance with this Act if the alien meets the applicable requirements of the immigration laws. (B) Alien enlistees For purposes of section 316(a), an alien enlistee whose status is adjusted under this subsection— (i) shall be considered to have satisfied the requirements of paragraphs (1) and (2) of that section