; or (ii) the Secretary of Homeland Security determines that the continued presence in the United States of the abused derivative alien is justified— (I) on humanitarian grounds; (II) to ensure family unity; or (III) is otherwise in the public interest; and (B) the status under which the principal alien was admitted to the United States would have potentially allowed for eventual adjustment of status. (c) Provisions for Children (1) In general An alien whose parent adjusted status to that of a lawful permanent resident under this section, and who was under 21 years of age on the date on which such parent petitioned for such adjustment, shall continue to be classified as a child if the alien attains 21 years of age after such parent’s petition was filed. (2) Constructive filing For purposes of this section, an individual who qualified to file a petition under this section as of the day before the date on which the individual attained 21 years of age, and who did not file such a petition before such day, shall be deemed as having filed a petition under this section as of such day if a petition is filed before the individual attains 25 years of age and the individual shows that the battery or extreme cruelty described in subsection (a)(3) was a primary cause for the delay in filing. (d) Relationship considerations (1) In general The death of the principal alien shall not affect the status of an abused derivative alien under this section. (2) Effect of loss of status or termination of relationship The principal alien’s loss of status or the legal termination of the abused derivative alien’s familial or marital relationship with principal alien shall not affect the status of an abused derivative alien under this section if battery or extreme cruelty by the principal alien was one central reason for such termination or loss of status. (3) Good faith belief in marriage In the case of an alien who— (A) believed that he or she had married the principal alien