; (II) resulted from shifts in funding identified by a public entity under subsection (b)(10)(B); or (III) are environmental modifications to achieve the affordable, accessible, integrated housing identified by a public entity under subsection (b)(6)(E); and (ii) are described by the State in a request to the Secretary of Health and Human Services for the increase. (C) Period of increase The Secretary of Health and Human Services shall increase the FMAP described in subparagraph (B)— (i) beginning with the first quarter that begins after the date of the determination