; or (E) had its application for certification to participate in programs under this title denied by the Secretary; (2) the ineligible institution or organization does not have any role in the admission of students into the educational program; (3) the educational program offered by the institution that grants the degree or certificate otherwise satisfies the requirements for eligibility under this title; and (4) (A) the ineligible institution or organization provides 25 percent or less of the educational program; or (B) (i) the ineligible institution or organization provides more than 25 percent but less than 50 percent of the educational program; (ii) the eligible institution and the ineligible institution or organization are not owned or controlled by the same individual, partnership, or corporation; (iii) the eligible institution's accrediting agency, or if the institution is a public postsecondary vocational educational institution, the State agency determined by the Secretary to be a reliable authority as to the quality of public postsecondary vocational education pursuant to section 487(c)(4), has specifically determined that the institution's arrangement meets the agency's standards for the contracting out of educational services