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this paragraph; (3) the parent or guardian has, during the 12 months preceding the permanency hearing, failed to comply with a court order to participate in family support services; (4) the department has conducted a reasonably diligent search over a time period of at least three months for an unidentified or absent parent and has failed to identify and locate the parent; (5) the parent or guardian is the sole caregiver of the child and the parent or guardian has a mental illness or mental deficiency of such nature and duration that, according to the statement of a psychologist or physician, the parent or guardian will be incapable of caring for the child without placing the child at substantial risk of physical or mental injury even if the department were to provide family support services to the parent or guardian for 12 months; (6) the parent or guardian has previously been convicted of a crime involving a child in this state or in another jurisdiction and, after the conviction, the child was returned to the custody of the parent or guardian and later removed because of an additional substantiated report of physical or sexual abuse by the parent or guardian; (7) a child has suffered substantial physical harm as the result of abusive or neglectful conduct by the parent or guardian or by a person known by the parent or guardian and the parent or guardian knew or reasonably should have known that the person was abusing the child; (8) the parental rights of the parent have been terminated with respect to another child because of child abuse or neglect, the parent has not remedied the conditions or conduct that led to the termination of parental rights, and the parent has demonstrated an inability to protect the child from substantial harm or the risk of substantial harm; (9) the child has been removed from the child's home on at least two previous occasions, family support services were offered or provided to the parent or guardian at those times, and the parent or guardian has demonstrated an inability to protect the child from substantial harm or the risk of substantial harm; (10) the parent or guardian is incarcerated and is unavailable to care for the child during a significant period of the child's minority, considering the child's age and need for care by an adult; or (11) the parent or guardian (A) has sexually abused the child or another child of the parent or guardian; or (B) is registered or required to register as a sex offender or child kidnapper under AS 12.63. (d) If the court determines under (b) or (c) of this section that reasonable efforts under (a) of this section are not required to be provided, (1) the court shall hold a permanency hearing for the child within 30 days after the determination; and (2) the department shall make reasonable efforts to place the child in a timely manner in accordance with the permanency plan, and complete whatever steps are necessary to finalize the permanent placement of the child. (e) The department may develop and implement an alternative permanency plan for the child while the department is also making reasonable efforts to return the child to the child's family