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.
Utah State University Utah State University (also referred to as USU or Utah State) is a public doctorate-granting university in Logan, Utah, United States. The coeducational, space-grant, land-grant, research university is accredited by the Northwest Commission on Colleges and Universities. With nearly 18,000 students living on or near campus, USU is Utah's largest public residential campus. As of Fall 2016, there were 28,118 students enrolled including 24,838 undergraduate students and 3,280 graduate students. The university has the highest percentage of out-of-state students of any public university in Utah totaling 23% of the student body.