Subsection (2) of section 178K of chapter 6 of the General Laws, as most recently amended by section 20 of chapter 77 of the acts of 2003, is hereby further amended by adding the following section:--(e) No sex offender designated as a level 2 or level 3 offender shall establish living conditions within, be placed in, or be transferred to any state-owned, operated or funded housing or any facility contracted with the state that is either occupied by children, occupied by mentally challenged adults, within 1 ½ miles of the property on which any public or private school, licensed day care center, or any other child care facility is located, or any residence occupied by at least 1 minor.