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.
University of Oregon College of Arts and Sciences The University of Oregon College of Arts and Sciences (CAS) is a public school of science and liberal arts at the University of Oregon (UO) in Eugene, Oregon, United States. The main offices of the college are located in Friendly Hall on the UO campus. The college serves an estimated 11,000 undergraduates at any given time.