(1) An individual or family that lacks a fixed, regular, and adequate nighttime residence; and
(2) An individual or family that has a primary nighttime residence that is:
(i) A supervised publicly or privately operated shelter designed to provide temporary living accommodations (including welfare hotels, congregate shelters, and transitional housing for the mentally ill);
(ii) An institution that provides a temporary residence for individuals intended to be institutionalized; or
(iii) A public or private place not designed for, or ordinarily used as, a regular sleeping accommodation for human beings. This term does not include any individual imprisoned or otherwise detained under an Act of the Congress or a State law.