; and (B) the Secretary shall transfer to the Appalachian State, from amounts transferred to the program under subsection (f)(2) for that fiscal year, an amount (including the applicable amount of contract authority and an equal amount of annual obligation limitation) equal to the amount that the Appalachian State returned under subparagraph (A) that shall be used to carry out projects described in paragraph (3). (2) State limitation The amount of contract authority returned by an Appalachian State under paragraph (1)(A) may not exceed the amount of the special no-year obligation limitation available to the Appalachian State prior to the return of the special no-year obligation limitation under that paragraph. (3) Eligible projects (A) In general A project eligible to be carried out using funds transferred to an Appalachian State under paragraph (1)(B) is a project described in section 133(b). (B) Federal share The Federal share of the cost of a project carried out using funds transferred to an Appalachian State under paragraph (1)(B) shall be up to 100 percent, at the discretion of the Appalachian State. (C) Application of section 133 Except as otherwise provided in this paragraph, section 133 shall not apply to a project carried out using funds transferred to an Appalachian State under paragraph (1)(B). (4) Total limitation For each fiscal year, the total amount exchanged under paragraph (1) shall not exceed the amount available to be transferred to the program under subsection (f). (5) Amounts exchanged For each fiscal year, if the total amount requested by all Appalachian States to return under paragraph (1)(A) is greater than the amount available to be transferred to the program under subsection (f), the Secretary shall exchange amounts under paragraph (1) based on the proportion that— (A) the amount requested to be returned for the fiscal year by the Appalachian State