; or (B) request that the relevant State or local law enforcement agency temporarily detain or transport the alien to a location for transfer to Federal custody; and (2) designate at least 1 Federal, State, or local prison or jail or a private contracted prison or detention facility within each State as the central facility for law enforcement entities of such State to transfer custody of criminal or illegal aliens to the Department of Homeland Security. (c) Reimbursement (1) In general The Secretary of Homeland Security shall reimburse a State or a political subdivision of a State for all reasonable expenses, as determined by the Secretary, incurred by the State or political subdivision in the detention and transportation of a criminal or illegal alien under subsection (b)(1). (2) Cost computation The amount reimbursed for costs incurred in the detention and transportation of a criminal or illegal alien under subsection (b)(1) shall be equal to the sum of— (A) the product of— (i) the average cost of incarceration of a prisoner in the relevant State, as determined by the chief executive officer of the State (or, as appropriate, a political subdivision of the State); and (ii) the number of days that the alien was in the custody of the State or political subdivision; and (B) the cost of transporting the criminal or illegal alien from the point of apprehension or arrest to— (i) the location of detention