Of  Center for Advanced Studies in Engineering and University of Idaho which, if either, is a public university?
University of Idaho The University of Idaho (officially abbreviated UI, locally referred to as "the U of I") is the U.S. state of Idaho's oldest public university, located in the city of Moscow in Latah County in the northern portion of the state. It is the state's flagship, land-grant and primary research university. The University of Idaho was the state's sole university for 71 years, until 1963, and its College of Law, established in 1909, was first accredited by the American Bar Association in 1925.
Oregon Graduate Center The Oregon Graduate Center was a unique, private, postgraduate-only research university in Washington County, Oregon, on the west side of Portland, from 1963 to 2001. The Center was renamed the Oregon Graduate Institute in 1989. The Institute merged with the state medical college in 2001, and became the OGI School of Science and Engineering within the medical college. The School was discontinued in 2008 and its campus in 2014. Demolition of the campus buildings began February 2017.