; or (II) if the institution is an institution described in any of clauses (i) through (iii) of section 132(d)(1)(B), all such institutions participating under this part for the preceding fiscal year; or (ii) the improvement of the completion rate or graduation rate between the preceding fiscal year and such date, in the top 10 percent of the institutions described in clause (i). (C) Completion rate or graduation rate For purposes of determining the completion rate or graduation rate under this section, a Federal Pell Grant recipient shall be counted as a completor or graduate if, within the normal time for completion of or graduation from the program, the student has completed or graduated from the program, or enrolled in any program of an institution participating in any program under this title for which the prior program provides substantial preparation. (D) Reallocation of returned amount If an institution returns to the Secretary any portion of the sums allocated to such institution under this paragraph for any fiscal year, the Secretary shall reallot such excess to improved institutions on the same basis as under subparagraph (A)(ii)(I). (2) Reservation for work colleges From the amounts appropriated under section 441(b), the Secretary shall reserve to carry out section 448 such amounts as may be necessary for fiscal year 2019 and each of the 5 succeeding fiscal years. (b) Allocation formula for fiscal years 2019 through 2023 (1) In general From the amount appropriated under section 441(b) for a fiscal year and remaining after the Secretary reserves funds under subsection (a), the Secretary shall allocate to each institution— (A) for fiscal year 2019, an amount equal to the greater of— (i) 90 percent of the amount the institution received under this subsection and subsection (a) for fiscal year 2018, as such subsections were in effect with respect to such fiscal year (in this subparagraph referred to as the 2018 amount for the institution )